---
_id: '14499'
abstract:
- lang: eng
text: "An n-vertex graph is called C-Ramsey if it has no clique or independent set
of size Clog2n (i.e., if it has near-optimal Ramsey behavior). In this paper,
we study edge statistics in Ramsey graphs, in particular obtaining very precise
control of the distribution of the number of edges in a random vertex subset of
a C-Ramsey graph. This brings together two ongoing lines of research: the study
of ‘random-like’ properties of Ramsey graphs and the study of small-ball probability
for low-degree polynomials of independent random variables.\r\n\r\nThe proof proceeds
via an ‘additive structure’ dichotomy on the degree sequence and involves a wide
range of different tools from Fourier analysis, random matrix theory, the theory
of Boolean functions, probabilistic combinatorics and low-rank approximation.
In particular, a key ingredient is a new sharpened version of the quadratic Carbery–Wright
theorem on small-ball probability for polynomials of Gaussians, which we believe
is of independent interest. One of the consequences of our result is the resolution
of an old conjecture of Erdős and McKay, for which Erdős reiterated in several
of his open problem collections and for which he offered one of his notorious
monetary prizes."
acknowledgement: Kwan was supported for part of this work by ERC Starting Grant ‘RANDSTRUCT’
No. 101076777. Sah and Sawhney were supported by NSF Graduate Research Fellowship
Program DGE-2141064. Sah was supported by the PD Soros Fellowship. Sauermann was
supported by NSF Award DMS-2100157, and for part of this work by a Sloan Research
Fellowship.
article_number: e21
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Matthew Alan
full_name: Kwan, Matthew Alan
id: 5fca0887-a1db-11eb-95d1-ca9d5e0453b3
last_name: Kwan
orcid: 0000-0002-4003-7567
- first_name: Ashwin
full_name: Sah, Ashwin
last_name: Sah
- first_name: Lisa
full_name: Sauermann, Lisa
last_name: Sauermann
- first_name: Mehtaab
full_name: Sawhney, Mehtaab
last_name: Sawhney
citation:
ama: Kwan MA, Sah A, Sauermann L, Sawhney M. Anticoncentration in Ramsey graphs
and a proof of the Erdős–McKay conjecture. Forum of Mathematics, Pi. 2023;11.
doi:10.1017/fmp.2023.17
apa: Kwan, M. A., Sah, A., Sauermann, L., & Sawhney, M. (2023). Anticoncentration
in Ramsey graphs and a proof of the Erdős–McKay conjecture. Forum of Mathematics,
Pi. Cambridge University Press. https://doi.org/10.1017/fmp.2023.17
chicago: Kwan, Matthew Alan, Ashwin Sah, Lisa Sauermann, and Mehtaab Sawhney. “Anticoncentration
in Ramsey Graphs and a Proof of the Erdős–McKay Conjecture.” Forum of Mathematics,
Pi. Cambridge University Press, 2023. https://doi.org/10.1017/fmp.2023.17.
ieee: M. A. Kwan, A. Sah, L. Sauermann, and M. Sawhney, “Anticoncentration in Ramsey
graphs and a proof of the Erdős–McKay conjecture,” Forum of Mathematics, Pi,
vol. 11. Cambridge University Press, 2023.
ista: Kwan MA, Sah A, Sauermann L, Sawhney M. 2023. Anticoncentration in Ramsey
graphs and a proof of the Erdős–McKay conjecture. Forum of Mathematics, Pi. 11,
e21.
mla: Kwan, Matthew Alan, et al. “Anticoncentration in Ramsey Graphs and a Proof
of the Erdős–McKay Conjecture.” Forum of Mathematics, Pi, vol. 11, e21,
Cambridge University Press, 2023, doi:10.1017/fmp.2023.17.
short: M.A. Kwan, A. Sah, L. Sauermann, M. Sawhney, Forum of Mathematics, Pi 11
(2023).
date_created: 2023-11-07T09:02:48Z
date_published: 2023-08-24T00:00:00Z
date_updated: 2023-11-07T09:18:57Z
day: '24'
ddc:
- '510'
department:
- _id: MaKw
doi: 10.1017/fmp.2023.17
external_id:
arxiv:
- '2208.02874'
file:
- access_level: open_access
checksum: 54b824098d59073cc87a308d458b0a3e
content_type: application/pdf
creator: dernst
date_created: 2023-11-07T09:16:23Z
date_updated: 2023-11-07T09:16:23Z
file_id: '14500'
file_name: 2023_ForumMathematics_Kwan.pdf
file_size: 1218719
relation: main_file
success: 1
file_date_updated: 2023-11-07T09:16:23Z
has_accepted_license: '1'
intvolume: ' 11'
keyword:
- Discrete Mathematics and Combinatorics
- Geometry and Topology
- Mathematical Physics
- Statistics and Probability
- Algebra and Number Theory
- Analysis
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: bd95085b-d553-11ed-ba76-e55d3349be45
grant_number: '101076777'
name: Randomness and structure in combinatorics
publication: Forum of Mathematics, Pi
publication_identifier:
issn:
- 2050-5086
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Anticoncentration in Ramsey graphs and a proof of the Erdős–McKay conjecture
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 11
year: '2023'
...
---
_id: '14750'
abstract:
- lang: eng
text: "Consider the random matrix model A1/2UBU∗A1/2, where A and B are two N ×
N deterministic matrices and U is either an N × N Haar unitary or orthogonal random
matrix. It is well known that on the macroscopic scale (Invent. Math. 104 (1991)
201–220), the limiting empirical spectral distribution (ESD) of the above model
is given by the free multiplicative convolution\r\nof the limiting ESDs of A and
B, denoted as μα \x02 μβ, where μα and μβ are the limiting ESDs of A and B, respectively.
In this paper, we study the asymptotic microscopic behavior of the edge eigenvalues
and eigenvectors statistics. We prove that both the density of μA \x02μB, where
μA and μB are the ESDs of A and B, respectively and the associated subordination
functions\r\nhave a regular behavior near the edges. Moreover, we establish the
local laws near the edges on the optimal scale. In particular, we prove that the
entries of the resolvent are close to some functionals depending only on the eigenvalues
of A, B and the subordination functions with optimal convergence rates. Our proofs
and calculations are based on the techniques developed for the additive model
A+UBU∗ in (J. Funct. Anal. 271 (2016) 672–719; Comm. Math.\r\nPhys. 349 (2017)
947–990; Adv. Math. 319 (2017) 251–291; J. Funct. Anal. 279 (2020) 108639), and
our results can be regarded as the counterparts of (J. Funct. Anal. 279 (2020)
108639) for the multiplicative model. "
acknowledgement: "The first author is partially supported by NSF Grant DMS-2113489
and grateful for the AMS-SIMONS travel grant (2020–2023). The second author is supported
by the ERC Advanced Grant “RMTBeyond” No. 101020331.\r\nThe authors would like to
thank the Editor, Associate Editor and an anonymous referee for their many critical
suggestions which have significantly improved the paper. We also want to thank Zhigang
Bao and Ji Oon Lee for many helpful discussions and comments."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Xiucai
full_name: Ding, Xiucai
last_name: Ding
- first_name: Hong Chang
full_name: Ji, Hong Chang
id: dd216c0a-c1f9-11eb-beaf-e9ea9d2de76d
last_name: Ji
citation:
ama: Ding X, Ji HC. Local laws for multiplication of random matrices. The Annals
of Applied Probability. 2023;33(4):2981-3009. doi:10.1214/22-aap1882
apa: Ding, X., & Ji, H. C. (2023). Local laws for multiplication of random matrices.
The Annals of Applied Probability. Institute of Mathematical Statistics.
https://doi.org/10.1214/22-aap1882
chicago: Ding, Xiucai, and Hong Chang Ji. “Local Laws for Multiplication of Random
Matrices.” The Annals of Applied Probability. Institute of Mathematical
Statistics, 2023. https://doi.org/10.1214/22-aap1882.
ieee: X. Ding and H. C. Ji, “Local laws for multiplication of random matrices,”
The Annals of Applied Probability, vol. 33, no. 4. Institute of Mathematical
Statistics, pp. 2981–3009, 2023.
ista: Ding X, Ji HC. 2023. Local laws for multiplication of random matrices. The
Annals of Applied Probability. 33(4), 2981–3009.
mla: Ding, Xiucai, and Hong Chang Ji. “Local Laws for Multiplication of Random Matrices.”
The Annals of Applied Probability, vol. 33, no. 4, Institute of Mathematical
Statistics, 2023, pp. 2981–3009, doi:10.1214/22-aap1882.
short: X. Ding, H.C. Ji, The Annals of Applied Probability 33 (2023) 2981–3009.
date_created: 2024-01-08T13:03:18Z
date_published: 2023-08-01T00:00:00Z
date_updated: 2024-01-09T08:16:41Z
day: '01'
department:
- _id: LaEr
doi: 10.1214/22-aap1882
ec_funded: 1
external_id:
arxiv:
- '2010.16083'
intvolume: ' 33'
issue: '4'
keyword:
- Statistics
- Probability and Uncertainty
- Statistics and Probability
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2010.16083
month: '08'
oa: 1
oa_version: Preprint
page: 2981-3009
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
call_identifier: H2020
grant_number: '101020331'
name: Random matrices beyond Wigner-Dyson-Mehta
publication: The Annals of Applied Probability
publication_identifier:
issn:
- 1050-5164
publication_status: published
publisher: Institute of Mathematical Statistics
quality_controlled: '1'
scopus_import: '1'
status: public
title: Local laws for multiplication of random matrices
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 33
year: '2023'
...
---
_id: '14775'
abstract:
- lang: eng
text: We establish a quantitative version of the Tracy–Widom law for the largest
eigenvalue of high-dimensional sample covariance matrices. To be precise, we show
that the fluctuations of the largest eigenvalue of a sample covariance matrix
X∗X converge to its Tracy–Widom limit at a rate nearly N−1/3, where X is an M×N
random matrix whose entries are independent real or complex random variables,
assuming that both M and N tend to infinity at a constant rate. This result improves
the previous estimate N−2/9 obtained by Wang (2019). Our proof relies on a Green
function comparison method (Adv. Math. 229 (2012) 1435–1515) using iterative cumulant
expansions, the local laws for the Green function and asymptotic properties of
the correlation kernel of the white Wishart ensemble.
acknowledgement: K. Schnelli was supported by the Swedish Research Council Grants
VR-2017-05195, and the Knut and Alice Wallenberg Foundation. Y. Xu was supported
by the Swedish Research Council Grant VR-2017-05195 and the ERC Advanced Grant “RMTBeyond”
No. 101020331.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Kevin
full_name: Schnelli, Kevin
id: 434AD0AE-F248-11E8-B48F-1D18A9856A87
last_name: Schnelli
orcid: 0000-0003-0954-3231
- first_name: Yuanyuan
full_name: Xu, Yuanyuan
id: 7902bdb1-a2a4-11eb-a164-c9216f71aea3
last_name: Xu
orcid: 0000-0003-1559-1205
citation:
ama: Schnelli K, Xu Y. Convergence rate to the Tracy–Widom laws for the largest
eigenvalue of sample covariance matrices. The Annals of Applied Probability.
2023;33(1):677-725. doi:10.1214/22-aap1826
apa: Schnelli, K., & Xu, Y. (2023). Convergence rate to the Tracy–Widom laws
for the largest eigenvalue of sample covariance matrices. The Annals of Applied
Probability. Institute of Mathematical Statistics. https://doi.org/10.1214/22-aap1826
chicago: Schnelli, Kevin, and Yuanyuan Xu. “Convergence Rate to the Tracy–Widom
Laws for the Largest Eigenvalue of Sample Covariance Matrices.” The Annals
of Applied Probability. Institute of Mathematical Statistics, 2023. https://doi.org/10.1214/22-aap1826.
ieee: K. Schnelli and Y. Xu, “Convergence rate to the Tracy–Widom laws for the largest
eigenvalue of sample covariance matrices,” The Annals of Applied Probability,
vol. 33, no. 1. Institute of Mathematical Statistics, pp. 677–725, 2023.
ista: Schnelli K, Xu Y. 2023. Convergence rate to the Tracy–Widom laws for the largest
eigenvalue of sample covariance matrices. The Annals of Applied Probability. 33(1),
677–725.
mla: Schnelli, Kevin, and Yuanyuan Xu. “Convergence Rate to the Tracy–Widom Laws
for the Largest Eigenvalue of Sample Covariance Matrices.” The Annals of Applied
Probability, vol. 33, no. 1, Institute of Mathematical Statistics, 2023, pp.
677–725, doi:10.1214/22-aap1826.
short: K. Schnelli, Y. Xu, The Annals of Applied Probability 33 (2023) 677–725.
date_created: 2024-01-10T09:23:31Z
date_published: 2023-02-01T00:00:00Z
date_updated: 2024-01-10T13:31:46Z
day: '01'
department:
- _id: LaEr
doi: 10.1214/22-aap1826
ec_funded: 1
external_id:
arxiv:
- '2108.02728'
isi:
- '000946432400021'
intvolume: ' 33'
isi: 1
issue: '1'
keyword:
- Statistics
- Probability and Uncertainty
- Statistics and Probability
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2108.02728
month: '02'
oa: 1
oa_version: Preprint
page: 677-725
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
call_identifier: H2020
grant_number: '101020331'
name: Random matrices beyond Wigner-Dyson-Mehta
publication: The Annals of Applied Probability
publication_identifier:
issn:
- 1050-5164
publication_status: published
publisher: Institute of Mathematical Statistics
quality_controlled: '1'
scopus_import: '1'
status: public
title: Convergence rate to the Tracy–Widom laws for the largest eigenvalue of sample
covariance matrices
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 33
year: '2023'
...
---
_id: '14780'
abstract:
- lang: eng
text: In this paper, we study the eigenvalues and eigenvectors of the spiked invariant
multiplicative models when the randomness is from Haar matrices. We establish
the limits of the outlier eigenvalues λˆi and the generalized components (⟨v,uˆi⟩
for any deterministic vector v) of the outlier eigenvectors uˆi with optimal convergence
rates. Moreover, we prove that the non-outlier eigenvalues stick with those of
the unspiked matrices and the non-outlier eigenvectors are delocalized. The results
also hold near the so-called BBP transition and for degenerate spikes. On one
hand, our results can be regarded as a refinement of the counterparts of [12]
under additional regularity conditions. On the other hand, they can be viewed
as an analog of [34] by replacing the random matrix with i.i.d. entries with Haar
random matrix.
acknowledgement: The authors would like to thank the editor, the associated editor
and two anonymous referees for their many critical suggestions which have significantly
improved the paper. The authors are also grateful to Zhigang Bao and Ji Oon Lee
for many helpful discussions. The first author also wants to thank Hari Bercovici
for many useful comments. The first author is partially supported by National Science
Foundation DMS-2113489 and the second author is supported by ERC Advanced Grant
“RMTBeyond” No. 101020331.
article_processing_charge: Yes (in subscription journal)
article_type: original
arxiv: 1
author:
- first_name: Xiucai
full_name: Ding, Xiucai
last_name: Ding
- first_name: Hong Chang
full_name: Ji, Hong Chang
id: dd216c0a-c1f9-11eb-beaf-e9ea9d2de76d
last_name: Ji
citation:
ama: Ding X, Ji HC. Spiked multiplicative random matrices and principal components.
Stochastic Processes and their Applications. 2023;163:25-60. doi:10.1016/j.spa.2023.05.009
apa: Ding, X., & Ji, H. C. (2023). Spiked multiplicative random matrices and
principal components. Stochastic Processes and Their Applications. Elsevier.
https://doi.org/10.1016/j.spa.2023.05.009
chicago: Ding, Xiucai, and Hong Chang Ji. “Spiked Multiplicative Random Matrices
and Principal Components.” Stochastic Processes and Their Applications.
Elsevier, 2023. https://doi.org/10.1016/j.spa.2023.05.009.
ieee: X. Ding and H. C. Ji, “Spiked multiplicative random matrices and principal
components,” Stochastic Processes and their Applications, vol. 163. Elsevier,
pp. 25–60, 2023.
ista: Ding X, Ji HC. 2023. Spiked multiplicative random matrices and principal components.
Stochastic Processes and their Applications. 163, 25–60.
mla: Ding, Xiucai, and Hong Chang Ji. “Spiked Multiplicative Random Matrices and
Principal Components.” Stochastic Processes and Their Applications, vol.
163, Elsevier, 2023, pp. 25–60, doi:10.1016/j.spa.2023.05.009.
short: X. Ding, H.C. Ji, Stochastic Processes and Their Applications 163 (2023)
25–60.
date_created: 2024-01-10T09:29:25Z
date_published: 2023-09-01T00:00:00Z
date_updated: 2024-01-16T08:49:51Z
day: '01'
ddc:
- '510'
department:
- _id: LaEr
doi: 10.1016/j.spa.2023.05.009
ec_funded: 1
external_id:
arxiv:
- '2302.13502'
isi:
- '001113615900001'
file:
- access_level: open_access
checksum: 46a708b0cd5569a73d0f3d6c3e0a44dc
content_type: application/pdf
creator: dernst
date_created: 2024-01-16T08:47:31Z
date_updated: 2024-01-16T08:47:31Z
file_id: '14806'
file_name: 2023_StochasticProcAppl_Ding.pdf
file_size: 1870349
relation: main_file
success: 1
file_date_updated: 2024-01-16T08:47:31Z
has_accepted_license: '1'
intvolume: ' 163'
isi: 1
keyword:
- Applied Mathematics
- Modeling and Simulation
- Statistics and Probability
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: 25-60
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
call_identifier: H2020
grant_number: '101020331'
name: Random matrices beyond Wigner-Dyson-Mehta
publication: Stochastic Processes and their Applications
publication_identifier:
eissn:
- 1879-209X
issn:
- 0304-4149
publication_status: published
publisher: Elsevier
quality_controlled: '1'
status: public
title: Spiked multiplicative random matrices and principal components
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 163
year: '2023'
...
---
_id: '14849'
abstract:
- lang: eng
text: We establish a precise three-term asymptotic expansion, with an optimal estimate
of the error term, for the rightmost eigenvalue of an n×n random matrix with independent
identically distributed complex entries as n tends to infinity. All terms in the
expansion are universal.
acknowledgement: "The second and the fourth author were supported by the ERC Advanced
Grant\r\n“RMTBeyond” No. 101020331. The third author was supported by Dr. Max Rössler,
the\r\nWalter Haefner Foundation and the ETH Zürich Foundation."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Giorgio
full_name: Cipolloni, Giorgio
id: 42198EFA-F248-11E8-B48F-1D18A9856A87
last_name: Cipolloni
orcid: 0000-0002-4901-7992
- first_name: László
full_name: Erdös, László
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Dominik J
full_name: Schröder, Dominik J
id: 408ED176-F248-11E8-B48F-1D18A9856A87
last_name: Schröder
orcid: 0000-0002-2904-1856
- first_name: Yuanyuan
full_name: Xu, Yuanyuan
last_name: Xu
citation:
ama: Cipolloni G, Erdös L, Schröder DJ, Xu Y. On the rightmost eigenvalue of non-Hermitian
random matrices. The Annals of Probability. 2023;51(6):2192-2242. doi:10.1214/23-aop1643
apa: Cipolloni, G., Erdös, L., Schröder, D. J., & Xu, Y. (2023). On the rightmost
eigenvalue of non-Hermitian random matrices. The Annals of Probability.
Institute of Mathematical Statistics. https://doi.org/10.1214/23-aop1643
chicago: Cipolloni, Giorgio, László Erdös, Dominik J Schröder, and Yuanyuan Xu.
“On the Rightmost Eigenvalue of Non-Hermitian Random Matrices.” The Annals
of Probability. Institute of Mathematical Statistics, 2023. https://doi.org/10.1214/23-aop1643.
ieee: G. Cipolloni, L. Erdös, D. J. Schröder, and Y. Xu, “On the rightmost eigenvalue
of non-Hermitian random matrices,” The Annals of Probability, vol. 51,
no. 6. Institute of Mathematical Statistics, pp. 2192–2242, 2023.
ista: Cipolloni G, Erdös L, Schröder DJ, Xu Y. 2023. On the rightmost eigenvalue
of non-Hermitian random matrices. The Annals of Probability. 51(6), 2192–2242.
mla: Cipolloni, Giorgio, et al. “On the Rightmost Eigenvalue of Non-Hermitian Random
Matrices.” The Annals of Probability, vol. 51, no. 6, Institute of Mathematical
Statistics, 2023, pp. 2192–242, doi:10.1214/23-aop1643.
short: G. Cipolloni, L. Erdös, D.J. Schröder, Y. Xu, The Annals of Probability 51
(2023) 2192–2242.
date_created: 2024-01-22T08:08:41Z
date_published: 2023-11-01T00:00:00Z
date_updated: 2024-01-23T10:56:30Z
day: '01'
department:
- _id: LaEr
doi: 10.1214/23-aop1643
ec_funded: 1
external_id:
arxiv:
- '2206.04448'
intvolume: ' 51'
issue: '6'
keyword:
- Statistics
- Probability and Uncertainty
- Statistics and Probability
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2206.04448
month: '11'
oa: 1
oa_version: Preprint
page: 2192-2242
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
call_identifier: H2020
grant_number: '101020331'
name: Random matrices beyond Wigner-Dyson-Mehta
publication: The Annals of Probability
publication_identifier:
issn:
- 0091-1798
publication_status: published
publisher: Institute of Mathematical Statistics
quality_controlled: '1'
status: public
title: On the rightmost eigenvalue of non-Hermitian random matrices
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 51
year: '2023'
...
---
_id: '11135'
abstract:
- lang: eng
text: We consider a correlated NxN Hermitian random matrix with a polynomially decaying
metric correlation structure. By calculating the trace of the moments of the matrix
and using the summable decay of the cumulants, we show that its operator norm
is stochastically dominated by one.
article_number: '2250036'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Jana
full_name: Reker, Jana
id: e796e4f9-dc8d-11ea-abe3-97e26a0323e9
last_name: Reker
citation:
ama: 'Reker J. On the operator norm of a Hermitian random matrix with correlated
entries. Random Matrices: Theory and Applications. 2022;11(4). doi:10.1142/s2010326322500368'
apa: 'Reker, J. (2022). On the operator norm of a Hermitian random matrix with correlated
entries. Random Matrices: Theory and Applications. World Scientific. https://doi.org/10.1142/s2010326322500368'
chicago: 'Reker, Jana. “On the Operator Norm of a Hermitian Random Matrix with Correlated
Entries.” Random Matrices: Theory and Applications. World Scientific, 2022.
https://doi.org/10.1142/s2010326322500368.'
ieee: 'J. Reker, “On the operator norm of a Hermitian random matrix with correlated
entries,” Random Matrices: Theory and Applications, vol. 11, no. 4. World
Scientific, 2022.'
ista: 'Reker J. 2022. On the operator norm of a Hermitian random matrix with correlated
entries. Random Matrices: Theory and Applications. 11(4), 2250036.'
mla: 'Reker, Jana. “On the Operator Norm of a Hermitian Random Matrix with Correlated
Entries.” Random Matrices: Theory and Applications, vol. 11, no. 4, 2250036,
World Scientific, 2022, doi:10.1142/s2010326322500368.'
short: 'J. Reker, Random Matrices: Theory and Applications 11 (2022).'
date_created: 2022-04-08T07:11:12Z
date_published: 2022-10-01T00:00:00Z
date_updated: 2023-08-03T06:32:22Z
day: '01'
department:
- _id: GradSch
- _id: LaEr
doi: 10.1142/s2010326322500368
external_id:
arxiv:
- '2103.03906'
isi:
- '000848873800001'
intvolume: ' 11'
isi: 1
issue: '4'
keyword:
- Discrete Mathematics and Combinatorics
- Statistics
- Probability and Uncertainty
- Statistics and Probability
- Algebra and Number Theory
language:
- iso: eng
main_file_link:
- open_access: '1'
url: ' https://doi.org/10.48550/arXiv.2103.03906'
month: '10'
oa: 1
oa_version: Preprint
publication: 'Random Matrices: Theory and Applications'
publication_identifier:
eissn:
- 2010-3271
issn:
- 2010-3263
publication_status: published
publisher: World Scientific
quality_controlled: '1'
scopus_import: '1'
status: public
title: On the operator norm of a Hermitian random matrix with correlated entries
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 11
year: '2022'
...
---
_id: '10643'
abstract:
- lang: eng
text: "We prove a generalised super-adiabatic theorem for extended fermionic systems
assuming a spectral gap only in the bulk. More precisely, we assume that the infinite
system has a unique ground state and that the corresponding Gelfand–Naimark–Segal
Hamiltonian has a spectral gap above its eigenvalue zero. Moreover, we show that
a similar adiabatic theorem also holds in the bulk of finite systems up to errors
that vanish faster than any inverse power of the system size, although the corresponding
finite-volume Hamiltonians need not have a spectral gap.\r\n\r\n"
acknowledgement: J.H. acknowledges partial financial support by the ERC Advanced Grant
‘RMTBeyond’ No. 101020331. Support for publication costs from the Deutsche Forschungsgemeinschaft
and the Open Access Publishing Fund of the University of Tübingen is gratefully
acknowledged.
article_number: e4
article_processing_charge: Yes
article_type: original
arxiv: 1
author:
- first_name: Sven Joscha
full_name: Henheik, Sven Joscha
id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
last_name: Henheik
orcid: 0000-0003-1106-327X
- first_name: Stefan
full_name: Teufel, Stefan
last_name: Teufel
citation:
ama: 'Henheik SJ, Teufel S. Adiabatic theorem in the thermodynamic limit: Systems
with a gap in the bulk. Forum of Mathematics, Sigma. 2022;10. doi:10.1017/fms.2021.80'
apa: 'Henheik, S. J., & Teufel, S. (2022). Adiabatic theorem in the thermodynamic
limit: Systems with a gap in the bulk. Forum of Mathematics, Sigma. Cambridge
University Press. https://doi.org/10.1017/fms.2021.80'
chicago: 'Henheik, Sven Joscha, and Stefan Teufel. “Adiabatic Theorem in the Thermodynamic
Limit: Systems with a Gap in the Bulk.” Forum of Mathematics, Sigma. Cambridge
University Press, 2022. https://doi.org/10.1017/fms.2021.80.'
ieee: 'S. J. Henheik and S. Teufel, “Adiabatic theorem in the thermodynamic limit:
Systems with a gap in the bulk,” Forum of Mathematics, Sigma, vol. 10.
Cambridge University Press, 2022.'
ista: 'Henheik SJ, Teufel S. 2022. Adiabatic theorem in the thermodynamic limit:
Systems with a gap in the bulk. Forum of Mathematics, Sigma. 10, e4.'
mla: 'Henheik, Sven Joscha, and Stefan Teufel. “Adiabatic Theorem in the Thermodynamic
Limit: Systems with a Gap in the Bulk.” Forum of Mathematics, Sigma, vol.
10, e4, Cambridge University Press, 2022, doi:10.1017/fms.2021.80.'
short: S.J. Henheik, S. Teufel, Forum of Mathematics, Sigma 10 (2022).
date_created: 2022-01-18T16:18:51Z
date_published: 2022-01-18T00:00:00Z
date_updated: 2023-08-02T13:53:11Z
day: '18'
ddc:
- '510'
department:
- _id: GradSch
- _id: LaEr
doi: 10.1017/fms.2021.80
ec_funded: 1
external_id:
arxiv:
- '2012.15239'
isi:
- '000743615000001'
file:
- access_level: open_access
checksum: 87592a755adcef22ea590a99dc728dd3
content_type: application/pdf
creator: cchlebak
date_created: 2022-01-19T09:27:43Z
date_updated: 2022-01-19T09:27:43Z
file_id: '10646'
file_name: 2022_ForumMathSigma_Henheik.pdf
file_size: 705323
relation: main_file
success: 1
file_date_updated: 2022-01-19T09:27:43Z
has_accepted_license: '1'
intvolume: ' 10'
isi: 1
keyword:
- computational mathematics
- discrete mathematics and combinatorics
- geometry and topology
- mathematical physics
- statistics and probability
- algebra and number theory
- theoretical computer science
- analysis
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
call_identifier: H2020
grant_number: '101020331'
name: Random matrices beyond Wigner-Dyson-Mehta
publication: Forum of Mathematics, Sigma
publication_identifier:
eissn:
- 2050-5094
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
status: public
title: 'Adiabatic theorem in the thermodynamic limit: Systems with a gap in the bulk'
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 10
year: '2022'
...
---
_id: '12148'
abstract:
- lang: eng
text: 'We prove a general local law for Wigner matrices that optimally handles observables
of arbitrary rank and thus unifies the well-known averaged and isotropic local
laws. As an application, we prove a central limit theorem in quantum unique ergodicity
(QUE): that is, we show that the quadratic forms of a general deterministic matrix
A on the bulk eigenvectors of a Wigner matrix have approximately Gaussian fluctuation.
For the bulk spectrum, we thus generalise our previous result [17] as valid for
test matrices A of large rank as well as the result of Benigni and Lopatto [7]
as valid for specific small-rank observables.'
acknowledgement: L.E. acknowledges support by ERC Advanced Grant ‘RMTBeyond’ No. 101020331.
D.S. acknowledges the support of Dr. Max Rössler, the Walter Haefner Foundation
and the ETH Zürich Foundation.
article_number: e96
article_processing_charge: No
article_type: original
author:
- first_name: Giorgio
full_name: Cipolloni, Giorgio
id: 42198EFA-F248-11E8-B48F-1D18A9856A87
last_name: Cipolloni
orcid: 0000-0002-4901-7992
- first_name: László
full_name: Erdös, László
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Dominik J
full_name: Schröder, Dominik J
id: 408ED176-F248-11E8-B48F-1D18A9856A87
last_name: Schröder
orcid: 0000-0002-2904-1856
citation:
ama: Cipolloni G, Erdös L, Schröder DJ. Rank-uniform local law for Wigner matrices.
Forum of Mathematics, Sigma. 2022;10. doi:10.1017/fms.2022.86
apa: Cipolloni, G., Erdös, L., & Schröder, D. J. (2022). Rank-uniform local
law for Wigner matrices. Forum of Mathematics, Sigma. Cambridge University
Press. https://doi.org/10.1017/fms.2022.86
chicago: Cipolloni, Giorgio, László Erdös, and Dominik J Schröder. “Rank-Uniform
Local Law for Wigner Matrices.” Forum of Mathematics, Sigma. Cambridge
University Press, 2022. https://doi.org/10.1017/fms.2022.86.
ieee: G. Cipolloni, L. Erdös, and D. J. Schröder, “Rank-uniform local law for Wigner
matrices,” Forum of Mathematics, Sigma, vol. 10. Cambridge University Press,
2022.
ista: Cipolloni G, Erdös L, Schröder DJ. 2022. Rank-uniform local law for Wigner
matrices. Forum of Mathematics, Sigma. 10, e96.
mla: Cipolloni, Giorgio, et al. “Rank-Uniform Local Law for Wigner Matrices.” Forum
of Mathematics, Sigma, vol. 10, e96, Cambridge University Press, 2022, doi:10.1017/fms.2022.86.
short: G. Cipolloni, L. Erdös, D.J. Schröder, Forum of Mathematics, Sigma 10 (2022).
date_created: 2023-01-12T12:07:30Z
date_published: 2022-10-27T00:00:00Z
date_updated: 2023-08-04T09:00:35Z
day: '27'
ddc:
- '510'
department:
- _id: LaEr
doi: 10.1017/fms.2022.86
ec_funded: 1
external_id:
isi:
- '000873719200001'
file:
- access_level: open_access
checksum: 94a049aeb1eea5497aa097712a73c400
content_type: application/pdf
creator: dernst
date_created: 2023-01-24T10:02:40Z
date_updated: 2023-01-24T10:02:40Z
file_id: '12356'
file_name: 2022_ForumMath_Cipolloni.pdf
file_size: 817089
relation: main_file
success: 1
file_date_updated: 2023-01-24T10:02:40Z
has_accepted_license: '1'
intvolume: ' 10'
isi: 1
keyword:
- Computational Mathematics
- Discrete Mathematics and Combinatorics
- Geometry and Topology
- Mathematical Physics
- Statistics and Probability
- Algebra and Number Theory
- Theoretical Computer Science
- Analysis
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
call_identifier: H2020
grant_number: '101020331'
name: Random matrices beyond Wigner-Dyson-Mehta
publication: Forum of Mathematics, Sigma
publication_identifier:
issn:
- 2050-5094
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: Rank-uniform local law for Wigner matrices
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 10
year: '2022'
...
---
_id: '12178'
abstract:
- lang: eng
text: In this paper we consider the stochastic primitive equation for geophysical
flows subject to transport noise and turbulent pressure. Admitting very rough
noise terms, the global existence and uniqueness of solutions to this stochastic
partial differential equation are proven using stochastic maximal L² regularity,
the theory of critical spaces for stochastic evolution equations, and global a
priori bounds. Compared to other results in this direction, we do not need any
smallness assumption on the transport noise which acts directly on the velocity
field and we also allow rougher noise terms. The adaptation to Stratonovich type
noise and, more generally, to variable viscosity and/or conductivity are discussed
as well.
acknowledgement: The authors thank the anonymous referees for their helpful comments
and suggestions. Open Access funding enabled and organized by Projekt DEAL.
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Antonio
full_name: Agresti, Antonio
id: 673cd0cc-9b9a-11eb-b144-88f30e1fbb72
last_name: Agresti
orcid: 0000-0002-9573-2962
- first_name: Matthias
full_name: Hieber, Matthias
last_name: Hieber
- first_name: Amru
full_name: Hussein, Amru
last_name: Hussein
- first_name: Martin
full_name: Saal, Martin
last_name: Saal
citation:
ama: 'Agresti A, Hieber M, Hussein A, Saal M. The stochastic primitive equations
with transport noise and turbulent pressure. Stochastics and Partial Differential
Equations: Analysis and Computations. 2022. doi:10.1007/s40072-022-00277-3'
apa: 'Agresti, A., Hieber, M., Hussein, A., & Saal, M. (2022). The stochastic
primitive equations with transport noise and turbulent pressure. Stochastics
and Partial Differential Equations: Analysis and Computations. Springer Nature.
https://doi.org/10.1007/s40072-022-00277-3'
chicago: 'Agresti, Antonio, Matthias Hieber, Amru Hussein, and Martin Saal. “The
Stochastic Primitive Equations with Transport Noise and Turbulent Pressure.” Stochastics
and Partial Differential Equations: Analysis and Computations. Springer Nature,
2022. https://doi.org/10.1007/s40072-022-00277-3.'
ieee: 'A. Agresti, M. Hieber, A. Hussein, and M. Saal, “The stochastic primitive
equations with transport noise and turbulent pressure,” Stochastics and Partial
Differential Equations: Analysis and Computations. Springer Nature, 2022.'
ista: 'Agresti A, Hieber M, Hussein A, Saal M. 2022. The stochastic primitive equations
with transport noise and turbulent pressure. Stochastics and Partial Differential
Equations: Analysis and Computations.'
mla: 'Agresti, Antonio, et al. “The Stochastic Primitive Equations with Transport
Noise and Turbulent Pressure.” Stochastics and Partial Differential Equations:
Analysis and Computations, Springer Nature, 2022, doi:10.1007/s40072-022-00277-3.'
short: 'A. Agresti, M. Hieber, A. Hussein, M. Saal, Stochastics and Partial Differential
Equations: Analysis and Computations (2022).'
date_created: 2023-01-12T12:12:29Z
date_published: 2022-10-27T00:00:00Z
date_updated: 2023-08-16T09:11:38Z
day: '27'
department:
- _id: JuFi
doi: 10.1007/s40072-022-00277-3
external_id:
isi:
- '000874389000001'
isi: 1
keyword:
- Applied Mathematics
- Modeling and Simulation
- Statistics and Probability
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1007/s40072-022-00277-3
month: '10'
oa: 1
oa_version: Published Version
publication: 'Stochastics and Partial Differential Equations: Analysis and Computations'
publication_identifier:
eissn:
- 2194-041X
issn:
- 2194-0401
publication_status: epub_ahead
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: The stochastic primitive equations with transport noise and turbulent pressure
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2022'
...
---
_id: '12281'
abstract:
- lang: eng
text: We study the hydrodynamic and hydrostatic limits of the one-dimensional open
symmetric inclusion process with slow boundary. Depending on the value of the
parameter tuning the interaction rate of the bulk of the system with the boundary,
we obtain a linear heat equation with either Dirichlet, Robin or Neumann boundary
conditions as hydrodynamic equation. In our approach, we combine duality and first-second
class particle techniques to reduce the scaling limit of the inclusion process
to the limiting behavior of a single, non-interacting, particle.
acknowledgement: "C.F. and P.G. thank FCT/Portugal for support through the project
UID/MAT/04459/2013.\r\nThis project has received funding from the European Research
Council (ERC) under the European Union’s Horizon 2020 research and innovative programme
(grant agreement No. 715734). F.S. was founded by the European Union’s Horizon 2020
research and innovation programme under the Marie-Skłodowska-Curie grant agreement
No. 754411.\r\nF.S. wishes to thank Joe P. Chen for some fruitful discussions at
an early stage of this work. F.S. thanks CAMGSD, IST, Lisbon, where part of this
work has been done, and the European research and innovative programme No. 715734
for the kind hospitality."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Chiara
full_name: Franceschini, Chiara
last_name: Franceschini
- first_name: Patrícia
full_name: Gonçalves, Patrícia
last_name: Gonçalves
- first_name: Federico
full_name: Sau, Federico
id: E1836206-9F16-11E9-8814-AEFDE5697425
last_name: Sau
citation:
ama: 'Franceschini C, Gonçalves P, Sau F. Symmetric inclusion process with slow
boundary: Hydrodynamics and hydrostatics. Bernoulli. 2022;28(2):1340-1381.
doi:10.3150/21-bej1390'
apa: 'Franceschini, C., Gonçalves, P., & Sau, F. (2022). Symmetric inclusion
process with slow boundary: Hydrodynamics and hydrostatics. Bernoulli.
Bernoulli Society for Mathematical Statistics and Probability. https://doi.org/10.3150/21-bej1390'
chicago: 'Franceschini, Chiara, Patrícia Gonçalves, and Federico Sau. “Symmetric
Inclusion Process with Slow Boundary: Hydrodynamics and Hydrostatics.” Bernoulli.
Bernoulli Society for Mathematical Statistics and Probability, 2022. https://doi.org/10.3150/21-bej1390.'
ieee: 'C. Franceschini, P. Gonçalves, and F. Sau, “Symmetric inclusion process with
slow boundary: Hydrodynamics and hydrostatics,” Bernoulli, vol. 28, no.
2. Bernoulli Society for Mathematical Statistics and Probability, pp. 1340–1381,
2022.'
ista: 'Franceschini C, Gonçalves P, Sau F. 2022. Symmetric inclusion process with
slow boundary: Hydrodynamics and hydrostatics. Bernoulli. 28(2), 1340–1381.'
mla: 'Franceschini, Chiara, et al. “Symmetric Inclusion Process with Slow Boundary:
Hydrodynamics and Hydrostatics.” Bernoulli, vol. 28, no. 2, Bernoulli Society
for Mathematical Statistics and Probability, 2022, pp. 1340–81, doi:10.3150/21-bej1390.'
short: C. Franceschini, P. Gonçalves, F. Sau, Bernoulli 28 (2022) 1340–1381.
date_created: 2023-01-16T10:03:04Z
date_published: 2022-05-01T00:00:00Z
date_updated: 2023-08-04T10:27:35Z
day: '01'
department:
- _id: JaMa
doi: 10.3150/21-bej1390
ec_funded: 1
external_id:
arxiv:
- '2007.11998'
isi:
- '000766619100025'
intvolume: ' 28'
isi: 1
issue: '2'
keyword:
- Statistics and Probability
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2007.11998
month: '05'
oa: 1
oa_version: Preprint
page: 1340-1381
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: Bernoulli
publication_identifier:
issn:
- 1350-7265
publication_status: published
publisher: Bernoulli Society for Mathematical Statistics and Probability
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Symmetric inclusion process with slow boundary: Hydrodynamics and hydrostatics'
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 28
year: '2022'
...
---
_id: '12290'
abstract:
- lang: eng
text: We prove local laws, i.e. optimal concentration estimates for arbitrary products
of resolvents of a Wigner random matrix with deterministic matrices in between.
We find that the size of such products heavily depends on whether some of the
deterministic matrices are traceless. Our estimates correctly account for this
dependence and they hold optimally down to the smallest possible spectral scale.
acknowledgement: L. Erdős was supported by ERC Advanced Grant “RMTBeyond” No. 101020331.
D. Schröder was supported by Dr. Max Rössler, the Walter Haefner Foundation and
the ETH Zürich Foundation.
article_processing_charge: No
article_type: original
author:
- first_name: Giorgio
full_name: Cipolloni, Giorgio
id: 42198EFA-F248-11E8-B48F-1D18A9856A87
last_name: Cipolloni
orcid: 0000-0002-4901-7992
- first_name: László
full_name: Erdös, László
id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
last_name: Erdös
orcid: 0000-0001-5366-9603
- first_name: Dominik J
full_name: Schröder, Dominik J
id: 408ED176-F248-11E8-B48F-1D18A9856A87
last_name: Schröder
orcid: 0000-0002-2904-1856
citation:
ama: Cipolloni G, Erdös L, Schröder DJ. Optimal multi-resolvent local laws for Wigner
matrices. Electronic Journal of Probability. 2022;27:1-38. doi:10.1214/22-ejp838
apa: Cipolloni, G., Erdös, L., & Schröder, D. J. (2022). Optimal multi-resolvent
local laws for Wigner matrices. Electronic Journal of Probability. Institute
of Mathematical Statistics. https://doi.org/10.1214/22-ejp838
chicago: Cipolloni, Giorgio, László Erdös, and Dominik J Schröder. “Optimal Multi-Resolvent
Local Laws for Wigner Matrices.” Electronic Journal of Probability. Institute
of Mathematical Statistics, 2022. https://doi.org/10.1214/22-ejp838.
ieee: G. Cipolloni, L. Erdös, and D. J. Schröder, “Optimal multi-resolvent local
laws for Wigner matrices,” Electronic Journal of Probability, vol. 27.
Institute of Mathematical Statistics, pp. 1–38, 2022.
ista: Cipolloni G, Erdös L, Schröder DJ. 2022. Optimal multi-resolvent local laws
for Wigner matrices. Electronic Journal of Probability. 27, 1–38.
mla: Cipolloni, Giorgio, et al. “Optimal Multi-Resolvent Local Laws for Wigner Matrices.”
Electronic Journal of Probability, vol. 27, Institute of Mathematical Statistics,
2022, pp. 1–38, doi:10.1214/22-ejp838.
short: G. Cipolloni, L. Erdös, D.J. Schröder, Electronic Journal of Probability
27 (2022) 1–38.
date_created: 2023-01-16T10:04:38Z
date_published: 2022-09-12T00:00:00Z
date_updated: 2023-08-04T10:32:23Z
day: '12'
ddc:
- '510'
department:
- _id: LaEr
doi: 10.1214/22-ejp838
ec_funded: 1
external_id:
isi:
- '000910863700003'
file:
- access_level: open_access
checksum: bb647b48fbdb59361210e425c220cdcb
content_type: application/pdf
creator: dernst
date_created: 2023-01-30T11:59:21Z
date_updated: 2023-01-30T11:59:21Z
file_id: '12464'
file_name: 2022_ElecJournProbability_Cipolloni.pdf
file_size: 502149
relation: main_file
success: 1
file_date_updated: 2023-01-30T11:59:21Z
has_accepted_license: '1'
intvolume: ' 27'
isi: 1
keyword:
- Statistics
- Probability and Uncertainty
- Statistics and Probability
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: 1-38
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
call_identifier: H2020
grant_number: '101020331'
name: Random matrices beyond Wigner-Dyson-Mehta
publication: Electronic Journal of Probability
publication_identifier:
eissn:
- 1083-6489
publication_status: published
publisher: Institute of Mathematical Statistics
quality_controlled: '1'
scopus_import: '1'
status: public
title: Optimal multi-resolvent local laws for Wigner matrices
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 27
year: '2022'
...
---
_id: '12480'
abstract:
- lang: eng
text: 'We consider the problem of estimating a signal from measurements obtained
via a generalized linear model. We focus on estimators based on approximate message
passing (AMP), a family of iterative algorithms with many appealing features:
the performance of AMP in the high-dimensional limit can be succinctly characterized
under suitable model assumptions; AMP can also be tailored to the empirical distribution
of the signal entries, and for a wide class of estimation problems, AMP is conjectured
to be optimal among all polynomial-time algorithms. However, a major issue of
AMP is that in many models (such as phase retrieval), it requires an initialization
correlated with the ground-truth signal and independent from the measurement matrix.
Assuming that such an initialization is available is typically not realistic.
In this paper, we solve this problem by proposing an AMP algorithm initialized
with a spectral estimator. With such an initialization, the standard AMP analysis
fails since the spectral estimator depends in a complicated way on the design
matrix. Our main contribution is a rigorous characterization of the performance
of AMP with spectral initialization in the high-dimensional limit. The key technical
idea is to define and analyze a two-phase artificial AMP algorithm that first
produces the spectral estimator, and then closely approximates the iterates of
the true AMP. We also provide numerical results that demonstrate the validity
of the proposed approach.'
acknowledgement: "The authors would like to thank Andrea Montanari for helpful discussions.\r\nM
Mondelli was partially supported by the 2019 Lopez-Loreta Prize. R Venkataramanan
was partially supported by the Alan Turing Institute under the EPSRC Grant\r\nEP/N510129/1."
article_number: '114003'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Marco
full_name: Mondelli, Marco
id: 27EB676C-8706-11E9-9510-7717E6697425
last_name: Mondelli
orcid: 0000-0002-3242-7020
- first_name: Ramji
full_name: Venkataramanan, Ramji
last_name: Venkataramanan
citation:
ama: 'Mondelli M, Venkataramanan R. Approximate message passing with spectral initialization
for generalized linear models. Journal of Statistical Mechanics: Theory and
Experiment. 2022;2022(11). doi:10.1088/1742-5468/ac9828'
apa: 'Mondelli, M., & Venkataramanan, R. (2022). Approximate message passing
with spectral initialization for generalized linear models. Journal of Statistical
Mechanics: Theory and Experiment. IOP Publishing. https://doi.org/10.1088/1742-5468/ac9828'
chicago: 'Mondelli, Marco, and Ramji Venkataramanan. “Approximate Message Passing
with Spectral Initialization for Generalized Linear Models.” Journal of Statistical
Mechanics: Theory and Experiment. IOP Publishing, 2022. https://doi.org/10.1088/1742-5468/ac9828.'
ieee: 'M. Mondelli and R. Venkataramanan, “Approximate message passing with spectral
initialization for generalized linear models,” Journal of Statistical Mechanics:
Theory and Experiment, vol. 2022, no. 11. IOP Publishing, 2022.'
ista: 'Mondelli M, Venkataramanan R. 2022. Approximate message passing with spectral
initialization for generalized linear models. Journal of Statistical Mechanics:
Theory and Experiment. 2022(11), 114003.'
mla: 'Mondelli, Marco, and Ramji Venkataramanan. “Approximate Message Passing with
Spectral Initialization for Generalized Linear Models.” Journal of Statistical
Mechanics: Theory and Experiment, vol. 2022, no. 11, 114003, IOP Publishing,
2022, doi:10.1088/1742-5468/ac9828.'
short: 'M. Mondelli, R. Venkataramanan, Journal of Statistical Mechanics: Theory
and Experiment 2022 (2022).'
date_created: 2023-02-02T08:31:57Z
date_published: 2022-11-24T00:00:00Z
date_updated: 2024-03-07T10:36:52Z
day: '24'
ddc:
- '510'
- '530'
department:
- _id: MaMo
doi: 10.1088/1742-5468/ac9828
external_id:
isi:
- '000889589900001'
file:
- access_level: open_access
checksum: 01411ffa76d3e380a0446baeb89b1ef7
content_type: application/pdf
creator: dernst
date_created: 2023-02-02T08:35:52Z
date_updated: 2023-02-02T08:35:52Z
file_id: '12481'
file_name: 2022_JourStatisticalMechanics_Mondelli.pdf
file_size: 1729997
relation: main_file
success: 1
file_date_updated: 2023-02-02T08:35:52Z
has_accepted_license: '1'
intvolume: ' 2022'
isi: 1
issue: '11'
keyword:
- Statistics
- Probability and Uncertainty
- Statistics and Probability
- Statistical and Nonlinear Physics
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
project:
- _id: 059876FA-7A3F-11EA-A408-12923DDC885E
name: Prix Lopez-Loretta 2019 - Marco Mondelli
publication: 'Journal of Statistical Mechanics: Theory and Experiment'
publication_identifier:
issn:
- 1742-5468
publication_status: published
publisher: IOP Publishing
quality_controlled: '1'
related_material:
record:
- id: '10598'
relation: earlier_version
status: public
scopus_import: '1'
status: public
title: Approximate message passing with spectral initialization for generalized linear
models
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 2022
year: '2022'
...
---
_id: '9158'
abstract:
- lang: eng
text: While several tools have been developed to study the ground state of many-body
quantum spin systems, the limitations of existing techniques call for the exploration
of new approaches. In this manuscript we develop an alternative analytical and
numerical framework for many-body quantum spin ground states, based on the disentanglement
formalism. In this approach, observables are exactly expressed as Gaussian-weighted
functional integrals over scalar fields. We identify the leading contribution
to these integrals, given by the saddle point of a suitable effective action.
Analytically, we develop a field-theoretical expansion of the functional integrals,
performed by means of appropriate Feynman rules. The expansion can be truncated
to a desired order to obtain analytical approximations to observables. Numerically,
we show that the disentanglement approach can be used to compute ground state
expectation values from classical stochastic processes. While the associated fluctuations
grow exponentially with imaginary time and the system size, this growth can be
mitigated by means of an importance sampling scheme based on knowledge of the
saddle point configuration. We illustrate the advantages and limitations of our
methods by considering the quantum Ising model in 1, 2 and 3 spatial dimensions.
Our analytical and numerical approaches are applicable to a broad class of systems,
bridging concepts from quantum lattice models, continuum field theory, and classical
stochastic processes.
acknowledgement: "S D N would like to thank M J Bhaseen, J Chalker, B Doyon, V Gritsev,
A Lamacraft,\r\nA Michailidis and M Serbyn for helpful feedback and stimulating
conversations. S D N\r\nacknowledges funding from the Institute of Science and Technology
(IST) Austria, and\r\nfrom the European Union’s Horizon 2020 research and innovation
program under the\r\nMarie Sk\blodowska-Curie Grant Agreement No. 754411. S D N
also acknowledges funding\r\nfrom the EPSRC Center for Doctoral Training in Cross-Disciplinary
Approaches to Non-\r\nEquilibrium Systems (CANES) under Grant EP/L015854/1. S D
N is grateful to IST\r\nAustria for providing open access funding."
article_number: '013101'
article_processing_charge: No
article_type: original
author:
- first_name: Stefano
full_name: De Nicola, Stefano
id: 42832B76-F248-11E8-B48F-1D18A9856A87
last_name: De Nicola
orcid: 0000-0002-4842-6671
citation:
ama: 'De Nicola S. Disentanglement approach to quantum spin ground states: Field
theory and stochastic simulation. Journal of Statistical Mechanics: Theory
and Experiment. 2021;2021(1). doi:10.1088/1742-5468/abc7c7'
apa: 'De Nicola, S. (2021). Disentanglement approach to quantum spin ground states:
Field theory and stochastic simulation. Journal of Statistical Mechanics: Theory
and Experiment. IOP Publishing. https://doi.org/10.1088/1742-5468/abc7c7'
chicago: 'De Nicola, Stefano. “Disentanglement Approach to Quantum Spin Ground States:
Field Theory and Stochastic Simulation.” Journal of Statistical Mechanics:
Theory and Experiment. IOP Publishing, 2021. https://doi.org/10.1088/1742-5468/abc7c7.'
ieee: 'S. De Nicola, “Disentanglement approach to quantum spin ground states: Field
theory and stochastic simulation,” Journal of Statistical Mechanics: Theory
and Experiment, vol. 2021, no. 1. IOP Publishing, 2021.'
ista: 'De Nicola S. 2021. Disentanglement approach to quantum spin ground states:
Field theory and stochastic simulation. Journal of Statistical Mechanics: Theory
and Experiment. 2021(1), 013101.'
mla: 'De Nicola, Stefano. “Disentanglement Approach to Quantum Spin Ground States:
Field Theory and Stochastic Simulation.” Journal of Statistical Mechanics:
Theory and Experiment, vol. 2021, no. 1, 013101, IOP Publishing, 2021, doi:10.1088/1742-5468/abc7c7.'
short: 'S. De Nicola, Journal of Statistical Mechanics: Theory and Experiment 2021
(2021).'
date_created: 2021-02-17T17:48:46Z
date_published: 2021-01-05T00:00:00Z
date_updated: 2023-08-07T13:46:28Z
day: '05'
ddc:
- '530'
department:
- _id: MaSe
doi: 10.1088/1742-5468/abc7c7
ec_funded: 1
external_id:
isi:
- '000605080300001'
file:
- access_level: open_access
checksum: 64e2aae4837790db26e1dd1986c69c07
content_type: application/pdf
creator: dernst
date_created: 2021-02-19T14:04:40Z
date_updated: 2021-02-19T14:04:40Z
file_id: '9172'
file_name: 2021_JourStatMech_deNicola.pdf
file_size: 1693609
relation: main_file
success: 1
file_date_updated: 2021-02-19T14:04:40Z
has_accepted_license: '1'
intvolume: ' 2021'
isi: 1
issue: '1'
keyword:
- Statistics
- Probability and Uncertainty
- Statistics and Probability
- Statistical and Nonlinear Physics
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: 'Journal of Statistical Mechanics: Theory and Experiment'
publication_identifier:
issn:
- 1742-5468
publication_status: published
publisher: IOP Publishing
quality_controlled: '1'
status: public
title: 'Disentanglement approach to quantum spin ground states: Field theory and stochastic
simulation'
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 2021
year: '2021'
...
---
_id: '9387'
abstract:
- lang: eng
text: We report the complete analysis of a deterministic model of deleterious mutations
and negative selection against them at two haploid loci without recombination.
As long as mutation is a weaker force than selection, mutant alleles remain rare
at the only stable equilibrium, and otherwise, a variety of dynamics are possible.
If the mutation-free genotype is absent, generally the only stable equilibrium
is the one that corresponds to fixation of the mutant allele at the locus where
it is less deleterious. This result suggests that fixation of a deleterious allele
that follows a click of the Muller’s ratchet is governed by natural selection,
instead of random drift.
acknowledgement: This work was supported by the Russian Science Foundation grant N
16-14-10173.
article_number: '110729'
article_processing_charge: No
article_type: original
author:
- first_name: Kseniia
full_name: Khudiakova, Kseniia
id: 4E6DC800-AE37-11E9-AC72-31CAE5697425
last_name: Khudiakova
orcid: 0000-0002-6246-1465
- first_name: Tatiana Yu.
full_name: Neretina, Tatiana Yu.
last_name: Neretina
- first_name: Alexey S.
full_name: Kondrashov, Alexey S.
last_name: Kondrashov
citation:
ama: Khudiakova K, Neretina TY, Kondrashov AS. Two linked loci under mutation-selection
balance and Muller’s ratchet. Journal of Theoretical Biology. 2021;524.
doi:10.1016/j.jtbi.2021.110729
apa: Khudiakova, K., Neretina, T. Y., & Kondrashov, A. S. (2021). Two linked
loci under mutation-selection balance and Muller’s ratchet. Journal of Theoretical
Biology. Elsevier . https://doi.org/10.1016/j.jtbi.2021.110729
chicago: Khudiakova, Kseniia, Tatiana Yu. Neretina, and Alexey S. Kondrashov. “Two
Linked Loci under Mutation-Selection Balance and Muller’s Ratchet.” Journal
of Theoretical Biology. Elsevier , 2021. https://doi.org/10.1016/j.jtbi.2021.110729.
ieee: K. Khudiakova, T. Y. Neretina, and A. S. Kondrashov, “Two linked loci under
mutation-selection balance and Muller’s ratchet,” Journal of Theoretical Biology,
vol. 524. Elsevier , 2021.
ista: Khudiakova K, Neretina TY, Kondrashov AS. 2021. Two linked loci under mutation-selection
balance and Muller’s ratchet. Journal of Theoretical Biology. 524, 110729.
mla: Khudiakova, Kseniia, et al. “Two Linked Loci under Mutation-Selection Balance
and Muller’s Ratchet.” Journal of Theoretical Biology, vol. 524, 110729,
Elsevier , 2021, doi:10.1016/j.jtbi.2021.110729.
short: K. Khudiakova, T.Y. Neretina, A.S. Kondrashov, Journal of Theoretical Biology
524 (2021).
date_created: 2021-05-12T05:58:42Z
date_published: 2021-04-24T00:00:00Z
date_updated: 2023-08-08T13:32:40Z
day: '24'
department:
- _id: GradSch
doi: 10.1016/j.jtbi.2021.110729
external_id:
isi:
- '000659161500002'
intvolume: ' 524'
isi: 1
keyword:
- General Biochemistry
- Genetics and Molecular Biology
- Modelling and Simulation
- Statistics and Probability
- General Immunology and Microbiology
- Applied Mathematics
- General Agricultural and Biological Sciences
- General Medicine
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://www.biorxiv.org/content/10.1101/477489v1
month: '04'
oa: 1
oa_version: Preprint
publication: Journal of Theoretical Biology
publication_identifier:
issn:
- 0022-5193
publication_status: published
publisher: 'Elsevier '
quality_controlled: '1'
status: public
title: Two linked loci under mutation-selection balance and Muller’s ratchet
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 524
year: '2021'
...
---
_id: '14125'
abstract:
- lang: eng
text: "Motivation: Recent technological advances have led to an increase in the
production and availability of single-cell data. The ability to integrate a set
of multi-technology measurements would allow the identification of biologically
or clinically meaningful observations through the unification of the perspectives
afforded by each technology. In most cases, however, profiling technologies consume
the used cells and thus pairwise correspondences between datasets are lost. Due
to the sheer size single-cell datasets can acquire, scalable algorithms that are
able to universally match single-cell measurements carried out in one cell to
its corresponding sibling in another technology are needed.\r\nResults: We propose
Single-Cell data Integration via Matching (SCIM), a scalable approach to recover
such correspondences in two or more technologies. SCIM assumes that cells share
a common (low-dimensional) underlying structure and that the underlying cell distribution
is approximately constant across technologies. It constructs a technology-invariant
latent space using an autoencoder framework with an adversarial objective. Multi-modal
datasets are integrated by pairing cells across technologies using a bipartite
matching scheme that operates on the low-dimensional latent representations. We
evaluate SCIM on a simulated cellular branching process and show that the cell-to-cell
matches derived by SCIM reflect the same pseudotime on the simulated dataset.
Moreover, we apply our method to two real-world scenarios, a melanoma tumor sample
and a human bone marrow sample, where we pair cells from a scRNA dataset to their
sibling cells in a CyTOF dataset achieving 90% and 78% cell-matching accuracy
for each one of the samples, respectively."
article_processing_charge: No
article_type: original
author:
- first_name: Stefan G
full_name: Stark, Stefan G
last_name: Stark
- first_name: Joanna
full_name: Ficek, Joanna
last_name: Ficek
- first_name: Francesco
full_name: Locatello, Francesco
id: 26cfd52f-2483-11ee-8040-88983bcc06d4
last_name: Locatello
orcid: 0000-0002-4850-0683
- first_name: Ximena
full_name: Bonilla, Ximena
last_name: Bonilla
- first_name: Stéphane
full_name: Chevrier, Stéphane
last_name: Chevrier
- first_name: Franziska
full_name: Singer, Franziska
last_name: Singer
- first_name: Rudolf
full_name: Aebersold, Rudolf
last_name: Aebersold
- first_name: Faisal S
full_name: Al-Quaddoomi, Faisal S
last_name: Al-Quaddoomi
- first_name: Jonas
full_name: Albinus, Jonas
last_name: Albinus
- first_name: Ilaria
full_name: Alborelli, Ilaria
last_name: Alborelli
- first_name: Sonali
full_name: Andani, Sonali
last_name: Andani
- first_name: Per-Olof
full_name: Attinger, Per-Olof
last_name: Attinger
- first_name: Marina
full_name: Bacac, Marina
last_name: Bacac
- first_name: Daniel
full_name: Baumhoer, Daniel
last_name: Baumhoer
- first_name: Beatrice
full_name: Beck-Schimmer, Beatrice
last_name: Beck-Schimmer
- first_name: Niko
full_name: Beerenwinkel, Niko
last_name: Beerenwinkel
- first_name: Christian
full_name: Beisel, Christian
last_name: Beisel
- first_name: Lara
full_name: Bernasconi, Lara
last_name: Bernasconi
- first_name: Anne
full_name: Bertolini, Anne
last_name: Bertolini
- first_name: Bernd
full_name: Bodenmiller, Bernd
last_name: Bodenmiller
- first_name: Ximena
full_name: Bonilla, Ximena
last_name: Bonilla
- first_name: Ruben
full_name: Casanova, Ruben
last_name: Casanova
- first_name: Stéphane
full_name: Chevrier, Stéphane
last_name: Chevrier
- first_name: Natalia
full_name: Chicherova, Natalia
last_name: Chicherova
- first_name: Maya
full_name: D'Costa, Maya
last_name: D'Costa
- first_name: Esther
full_name: Danenberg, Esther
last_name: Danenberg
- first_name: Natalie
full_name: Davidson, Natalie
last_name: Davidson
- first_name: Monica-Andreea Dră
full_name: gan, Monica-Andreea Dră
last_name: gan
- first_name: Reinhard
full_name: Dummer, Reinhard
last_name: Dummer
- first_name: Stefanie
full_name: Engler, Stefanie
last_name: Engler
- first_name: Martin
full_name: Erkens, Martin
last_name: Erkens
- first_name: Katja
full_name: Eschbach, Katja
last_name: Eschbach
- first_name: Cinzia
full_name: Esposito, Cinzia
last_name: Esposito
- first_name: André
full_name: Fedier, André
last_name: Fedier
- first_name: Pedro
full_name: Ferreira, Pedro
last_name: Ferreira
- first_name: Joanna
full_name: Ficek, Joanna
last_name: Ficek
- first_name: Anja L
full_name: Frei, Anja L
last_name: Frei
- first_name: Bruno
full_name: Frey, Bruno
last_name: Frey
- first_name: Sandra
full_name: Goetze, Sandra
last_name: Goetze
- first_name: Linda
full_name: Grob, Linda
last_name: Grob
- first_name: Gabriele
full_name: Gut, Gabriele
last_name: Gut
- first_name: Detlef
full_name: Günther, Detlef
last_name: Günther
- first_name: Martina
full_name: Haberecker, Martina
last_name: Haberecker
- first_name: Pirmin
full_name: Haeuptle, Pirmin
last_name: Haeuptle
- first_name: Viola
full_name: Heinzelmann-Schwarz, Viola
last_name: Heinzelmann-Schwarz
- first_name: Sylvia
full_name: Herter, Sylvia
last_name: Herter
- first_name: Rene
full_name: Holtackers, Rene
last_name: Holtackers
- first_name: Tamara
full_name: Huesser, Tamara
last_name: Huesser
- first_name: Anja
full_name: Irmisch, Anja
last_name: Irmisch
- first_name: Francis
full_name: Jacob, Francis
last_name: Jacob
- first_name: Andrea
full_name: Jacobs, Andrea
last_name: Jacobs
- first_name: Tim M
full_name: Jaeger, Tim M
last_name: Jaeger
- first_name: Katharina
full_name: Jahn, Katharina
last_name: Jahn
- first_name: Alva R
full_name: James, Alva R
last_name: James
- first_name: Philip M
full_name: Jermann, Philip M
last_name: Jermann
- first_name: André
full_name: Kahles, André
last_name: Kahles
- first_name: Abdullah
full_name: Kahraman, Abdullah
last_name: Kahraman
- first_name: Viktor H
full_name: Koelzer, Viktor H
last_name: Koelzer
- first_name: Werner
full_name: Kuebler, Werner
last_name: Kuebler
- first_name: Jack
full_name: Kuipers, Jack
last_name: Kuipers
- first_name: Christian P
full_name: Kunze, Christian P
last_name: Kunze
- first_name: Christian
full_name: Kurzeder, Christian
last_name: Kurzeder
- first_name: Kjong-Van
full_name: Lehmann, Kjong-Van
last_name: Lehmann
- first_name: Mitchell
full_name: Levesque, Mitchell
last_name: Levesque
- first_name: Sebastian
full_name: Lugert, Sebastian
last_name: Lugert
- first_name: Gerd
full_name: Maass, Gerd
last_name: Maass
- first_name: Markus
full_name: Manz, Markus
last_name: Manz
- first_name: Philipp
full_name: Markolin, Philipp
last_name: Markolin
- first_name: Julien
full_name: Mena, Julien
last_name: Mena
- first_name: Ulrike
full_name: Menzel, Ulrike
last_name: Menzel
- first_name: Julian M
full_name: Metzler, Julian M
last_name: Metzler
- first_name: Nicola
full_name: Miglino, Nicola
last_name: Miglino
- first_name: Emanuela S
full_name: Milani, Emanuela S
last_name: Milani
- first_name: Holger
full_name: Moch, Holger
last_name: Moch
- first_name: Simone
full_name: Muenst, Simone
last_name: Muenst
- first_name: Riccardo
full_name: Murri, Riccardo
last_name: Murri
- first_name: Charlotte KY
full_name: Ng, Charlotte KY
last_name: Ng
- first_name: Stefan
full_name: Nicolet, Stefan
last_name: Nicolet
- first_name: Marta
full_name: Nowak, Marta
last_name: Nowak
- first_name: Patrick GA
full_name: Pedrioli, Patrick GA
last_name: Pedrioli
- first_name: Lucas
full_name: Pelkmans, Lucas
last_name: Pelkmans
- first_name: Salvatore
full_name: Piscuoglio, Salvatore
last_name: Piscuoglio
- first_name: Michael
full_name: Prummer, Michael
last_name: Prummer
- first_name: Mathilde
full_name: Ritter, Mathilde
last_name: Ritter
- first_name: Christian
full_name: Rommel, Christian
last_name: Rommel
- first_name: María L
full_name: Rosano-González, María L
last_name: Rosano-González
- first_name: Gunnar
full_name: Rätsch, Gunnar
last_name: Rätsch
- first_name: Natascha
full_name: Santacroce, Natascha
last_name: Santacroce
- first_name: Jacobo Sarabia del
full_name: Castillo, Jacobo Sarabia del
last_name: Castillo
- first_name: Ramona
full_name: Schlenker, Ramona
last_name: Schlenker
- first_name: Petra C
full_name: Schwalie, Petra C
last_name: Schwalie
- first_name: Severin
full_name: Schwan, Severin
last_name: Schwan
- first_name: Tobias
full_name: Schär, Tobias
last_name: Schär
- first_name: Gabriela
full_name: Senti, Gabriela
last_name: Senti
- first_name: Franziska
full_name: Singer, Franziska
last_name: Singer
- first_name: Sujana
full_name: Sivapatham, Sujana
last_name: Sivapatham
- first_name: Berend
full_name: Snijder, Berend
last_name: Snijder
- first_name: Bettina
full_name: Sobottka, Bettina
last_name: Sobottka
- first_name: Vipin T
full_name: Sreedharan, Vipin T
last_name: Sreedharan
- first_name: Stefan
full_name: Stark, Stefan
last_name: Stark
- first_name: Daniel J
full_name: Stekhoven, Daniel J
last_name: Stekhoven
- first_name: Alexandre PA
full_name: Theocharides, Alexandre PA
last_name: Theocharides
- first_name: Tinu M
full_name: Thomas, Tinu M
last_name: Thomas
- first_name: Markus
full_name: Tolnay, Markus
last_name: Tolnay
- first_name: Vinko
full_name: Tosevski, Vinko
last_name: Tosevski
- first_name: Nora C
full_name: Toussaint, Nora C
last_name: Toussaint
- first_name: Mustafa A
full_name: Tuncel, Mustafa A
last_name: Tuncel
- first_name: Marina
full_name: Tusup, Marina
last_name: Tusup
- first_name: Audrey Van
full_name: Drogen, Audrey Van
last_name: Drogen
- first_name: Marcus
full_name: Vetter, Marcus
last_name: Vetter
- first_name: Tatjana
full_name: Vlajnic, Tatjana
last_name: Vlajnic
- first_name: Sandra
full_name: Weber, Sandra
last_name: Weber
- first_name: Walter P
full_name: Weber, Walter P
last_name: Weber
- first_name: Rebekka
full_name: Wegmann, Rebekka
last_name: Wegmann
- first_name: Michael
full_name: Weller, Michael
last_name: Weller
- first_name: Fabian
full_name: Wendt, Fabian
last_name: Wendt
- first_name: Norbert
full_name: Wey, Norbert
last_name: Wey
- first_name: Andreas
full_name: Wicki, Andreas
last_name: Wicki
- first_name: Bernd
full_name: Wollscheid, Bernd
last_name: Wollscheid
- first_name: Shuqing
full_name: Yu, Shuqing
last_name: Yu
- first_name: Johanna
full_name: Ziegler, Johanna
last_name: Ziegler
- first_name: Marc
full_name: Zimmermann, Marc
last_name: Zimmermann
- first_name: Martin
full_name: Zoche, Martin
last_name: Zoche
- first_name: Gregor
full_name: Zuend, Gregor
last_name: Zuend
- first_name: Gunnar
full_name: Rätsch, Gunnar
last_name: Rätsch
- first_name: Kjong-Van
full_name: Lehmann, Kjong-Van
last_name: Lehmann
citation:
ama: 'Stark SG, Ficek J, Locatello F, et al. SCIM: Universal single-cell matching
with unpaired feature sets. Bioinformatics. 2020;36(Supplement_2):i919-i927.
doi:10.1093/bioinformatics/btaa843'
apa: 'Stark, S. G., Ficek, J., Locatello, F., Bonilla, X., Chevrier, S., Singer,
F., … Lehmann, K.-V. (2020). SCIM: Universal single-cell matching with unpaired
feature sets. Bioinformatics. Oxford University Press. https://doi.org/10.1093/bioinformatics/btaa843'
chicago: 'Stark, Stefan G, Joanna Ficek, Francesco Locatello, Ximena Bonilla, Stéphane
Chevrier, Franziska Singer, Rudolf Aebersold, et al. “SCIM: Universal Single-Cell
Matching with Unpaired Feature Sets.” Bioinformatics. Oxford University
Press, 2020. https://doi.org/10.1093/bioinformatics/btaa843.'
ieee: 'S. G. Stark et al., “SCIM: Universal single-cell matching with unpaired
feature sets,” Bioinformatics, vol. 36, no. Supplement_2. Oxford University
Press, pp. i919–i927, 2020.'
ista: 'Stark SG et al. 2020. SCIM: Universal single-cell matching with unpaired
feature sets. Bioinformatics. 36(Supplement_2), i919–i927.'
mla: 'Stark, Stefan G., et al. “SCIM: Universal Single-Cell Matching with Unpaired
Feature Sets.” Bioinformatics, vol. 36, no. Supplement_2, Oxford University
Press, 2020, pp. i919–27, doi:10.1093/bioinformatics/btaa843.'
short: S.G. Stark, J. Ficek, F. Locatello, X. Bonilla, S. Chevrier, F. Singer, R.
Aebersold, F.S. Al-Quaddoomi, J. Albinus, I. Alborelli, S. Andani, P.-O. Attinger,
M. Bacac, D. Baumhoer, B. Beck-Schimmer, N. Beerenwinkel, C. Beisel, L. Bernasconi,
A. Bertolini, B. Bodenmiller, X. Bonilla, R. Casanova, S. Chevrier, N. Chicherova,
M. D’Costa, E. Danenberg, N. Davidson, M.-A.D. gan, R. Dummer, S. Engler, M. Erkens,
K. Eschbach, C. Esposito, A. Fedier, P. Ferreira, J. Ficek, A.L. Frei, B. Frey,
S. Goetze, L. Grob, G. Gut, D. Günther, M. Haberecker, P. Haeuptle, V. Heinzelmann-Schwarz,
S. Herter, R. Holtackers, T. Huesser, A. Irmisch, F. Jacob, A. Jacobs, T.M. Jaeger,
K. Jahn, A.R. James, P.M. Jermann, A. Kahles, A. Kahraman, V.H. Koelzer, W. Kuebler,
J. Kuipers, C.P. Kunze, C. Kurzeder, K.-V. Lehmann, M. Levesque, S. Lugert, G.
Maass, M. Manz, P. Markolin, J. Mena, U. Menzel, J.M. Metzler, N. Miglino, E.S.
Milani, H. Moch, S. Muenst, R. Murri, C.K. Ng, S. Nicolet, M. Nowak, P.G. Pedrioli,
L. Pelkmans, S. Piscuoglio, M. Prummer, M. Ritter, C. Rommel, M.L. Rosano-González,
G. Rätsch, N. Santacroce, J.S. del Castillo, R. Schlenker, P.C. Schwalie, S. Schwan,
T. Schär, G. Senti, F. Singer, S. Sivapatham, B. Snijder, B. Sobottka, V.T. Sreedharan,
S. Stark, D.J. Stekhoven, A.P. Theocharides, T.M. Thomas, M. Tolnay, V. Tosevski,
N.C. Toussaint, M.A. Tuncel, M. Tusup, A.V. Drogen, M. Vetter, T. Vlajnic, S.
Weber, W.P. Weber, R. Wegmann, M. Weller, F. Wendt, N. Wey, A. Wicki, B. Wollscheid,
S. Yu, J. Ziegler, M. Zimmermann, M. Zoche, G. Zuend, G. Rätsch, K.-V. Lehmann,
Bioinformatics 36 (2020) i919–i927.
date_created: 2023-08-21T12:28:20Z
date_published: 2020-12-01T00:00:00Z
date_updated: 2023-09-11T10:21:00Z
day: '01'
department:
- _id: FrLo
doi: 10.1093/bioinformatics/btaa843
extern: '1'
external_id:
pmid:
- '33381818'
intvolume: ' 36'
issue: Supplement_2
keyword:
- Computational Mathematics
- Computational Theory and Mathematics
- Computer Science Applications
- Molecular Biology
- Biochemistry
- Statistics and Probability
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1093/bioinformatics/btaa843
month: '12'
oa: 1
oa_version: Published Version
page: i919-i927
pmid: 1
publication: Bioinformatics
publication_identifier:
eissn:
- 1367-4811
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
related_material:
link:
- relation: software
url: https://github.com/ratschlab/scim
scopus_import: '1'
status: public
title: 'SCIM: Universal single-cell matching with unpaired feature sets'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 36
year: '2020'
...
---
_id: '11507'
abstract:
- lang: eng
text: 'Lyman-α (Lyα) is intrinsically the brightest line emitted from active galaxies.
While it originates from many physical processes, for star-forming galaxies the
intrinsic Lyα luminosity is a direct tracer of the Lyman-continuum (LyC) radiation
produced by the most massive O- and early-type B-stars (M⋆ ≳ 10 M⊙) with lifetimes
of a few Myrs. As such, Lyα luminosity should be an excellent instantaneous star
formation rate (SFR) indicator. However, its resonant nature and susceptibility
to dust as a rest-frame UV photon makes Lyα very hard to interpret due to the
uncertain Lyα escape fraction, fesc, Lyα. Here we explore results from the CAlibrating
LYMan-α with Hα (CALYMHA) survey at z = 2.2, follow-up of Lyα emitters (LAEs)
at z = 2.2 − 2.6 and a z ∼ 0−0.3 compilation of LAEs to directly measure fesc, Lyα
with Hα. We derive a simple empirical relation that robustly retrieves fesc, Lyα
as a function of Lyα rest-frame EW (EW0): fesc,Lyα = 0.0048 EW0[Å] ± 0.05 and
we show that it constrains a well-defined anti-correlation between ionisation
efficiency (ξion) and dust extinction in LAEs. Observed Lyα luminosities and EW0
are easy measurable quantities at high redshift, thus making our relation a practical
tool to estimate intrinsic Lyα and LyC luminosities under well controlled and
simple assumptions. Our results allow observed Lyα luminosities to be used to
compute SFRs for LAEs at z ∼ 0−2.6 within ±0.2 dex of the Hα dust corrected SFRs.
We apply our empirical SFR(Lyα,EW0) calibration to several sources at z ≥ 2.6
to find that star-forming LAEs have SFRs typically ranging from 0.1 to 20 M⊙ yr−1
and that our calibration might be even applicable for the most luminous LAEs within
the epoch of re-ionisation. Our results imply high ionisation efficiencies (log10[ξion/Hz erg−1]
= 25.4−25.6) and low dust content in LAEs across cosmic time, and will be easily
tested with future observations with JWST which can obtain Hα and Hβ measurements
for high-redshift LAEs.'
acknowledgement: We thank the anonymous referees for multiple comments and suggestions
which have improved the manuscript. JM acknowledges the support of a Huygens PhD
fellowship from Leiden University. We have benefited greatly from the publicly available
programming language PYTHON, including the NUMPY & SCIPY (Van Der Walt et al. 2011;
Jones et al. 2001), MATPLOTLIB (Hunter 2007) and ASTROPY (Astropy Collaboration
2013) packages, and the TOPCAT analysis program (Taylor 2013). The results and samples
of LAEs used for this paper are publicly available (see e.g. Sobral et al. 2017,
2018a) and we also provide the toy model used as a PYTHON script.
article_number: A157
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: David
full_name: Sobral, David
last_name: Sobral
- first_name: Jorryt J
full_name: Matthee, Jorryt J
id: 7439a258-f3c0-11ec-9501-9df22fe06720
last_name: Matthee
orcid: 0000-0003-2871-127X
citation:
ama: 'Sobral D, Matthee JJ. Predicting Lyα escape fractions with a simple observable:
Lyα in emission as an empirically calibrated star formation rate indicator. Astronomy
& Astrophysics. 2019;623. doi:10.1051/0004-6361/201833075'
apa: 'Sobral, D., & Matthee, J. J. (2019). Predicting Lyα escape fractions with
a simple observable: Lyα in emission as an empirically calibrated star formation
rate indicator. Astronomy & Astrophysics. EDP Sciences. https://doi.org/10.1051/0004-6361/201833075'
chicago: 'Sobral, David, and Jorryt J Matthee. “Predicting Lyα Escape Fractions
with a Simple Observable: Lyα in Emission as an Empirically Calibrated Star Formation
Rate Indicator.” Astronomy & Astrophysics. EDP Sciences, 2019. https://doi.org/10.1051/0004-6361/201833075.'
ieee: 'D. Sobral and J. J. Matthee, “Predicting Lyα escape fractions with a simple
observable: Lyα in emission as an empirically calibrated star formation rate indicator,”
Astronomy & Astrophysics, vol. 623. EDP Sciences, 2019.'
ista: 'Sobral D, Matthee JJ. 2019. Predicting Lyα escape fractions with a simple
observable: Lyα in emission as an empirically calibrated star formation rate indicator.
Astronomy & Astrophysics. 623, A157.'
mla: 'Sobral, David, and Jorryt J. Matthee. “Predicting Lyα Escape Fractions with
a Simple Observable: Lyα in Emission as an Empirically Calibrated Star Formation
Rate Indicator.” Astronomy & Astrophysics, vol. 623, A157, EDP Sciences,
2019, doi:10.1051/0004-6361/201833075.'
short: D. Sobral, J.J. Matthee, Astronomy & Astrophysics 623 (2019).
date_created: 2022-07-06T11:08:16Z
date_published: 2019-03-26T00:00:00Z
date_updated: 2022-07-19T09:37:20Z
day: '26'
doi: 10.1051/0004-6361/201833075
extern: '1'
external_id:
arxiv:
- '1803.08923'
intvolume: ' 623'
keyword:
- Space and Planetary Science
- Astronomy and Astrophysics
- 'galaxies: high-redshift / galaxies: star formation / galaxies: statistics / galaxies:
evolution / galaxies: formation / galaxies: ISM'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1803.08923
month: '03'
oa: 1
oa_version: Published Version
publication: Astronomy & Astrophysics
publication_identifier:
eissn:
- 1432-0746
issn:
- 0004-6361
publication_status: published
publisher: EDP Sciences
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Predicting Lyα escape fractions with a simple observable: Lyα in emission
as an empirically calibrated star formation rate indicator'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 623
year: '2019'
...
---
_id: '11615'
abstract:
- lang: eng
text: The recently published Kepler mission Data Release 25 (DR25) reported on ∼197 000
targets observed during the mission. Despite this, no wide search for red giants
showing solar-like oscillations have been made across all stars observed in Kepler’s
long-cadence mode. In this work, we perform this task using custom apertures on
the Kepler pixel files and detect oscillations in 21 914 stars, representing the
largest sample of solar-like oscillating stars to date. We measure their frequency
at maximum power, νmax, down to νmax≃4μHz and obtain log (g) estimates with a
typical uncertainty below 0.05 dex, which is superior to typical measurements
from spectroscopy. Additionally, the νmax distribution of our detections show
good agreement with results from a simulated model of the Milky Way, with a ratio
of observed to predicted stars of 0.992 for stars with 10<νmax<270μHz. Among our
red giant detections, we find 909 to be dwarf/subgiant stars whose flux signal
is polluted by a neighbouring giant as a result of using larger photometric apertures
than those used by the NASA Kepler science processing pipeline. We further find
that only 293 of the polluting giants are known Kepler targets. The remainder
comprises over 600 newly identified oscillating red giants, with many expected
to belong to the Galactic halo, serendipitously falling within the Kepler pixel
files of targeted stars.
acknowledgement: Funding for this Discovery mission is provided by NASA’s Science
mission Directorate. We thank the entire Kepler team without whom this investigation
would not be possible. DS is the recipient of an Australian Research Council Future
Fellowship (project number FT1400147). RAG acknowledges the support from CNES. SM
acknowledges support from NASA grant NNX15AF13G, NSF grant AST-1411685, and the
Ramon y Cajal fellowship number RYC-2015-17697. ILC acknowledges scholarship support
from the University of Sydney. We would like to thank Nicholas Barbara and Timothy
Bedding for providing us with a list of variable stars that helped to validate a
number of detections in this study. We also thank the group at the University of
Sydney for fruitful discussions. Finally, we gratefully acknowledge the support
of NVIDIA Corporation with the donation of the Titan Xp GPU used for this research.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Marc
full_name: Hon, Marc
last_name: Hon
- first_name: Dennis
full_name: Stello, Dennis
last_name: Stello
- first_name: Rafael A
full_name: García, Rafael A
last_name: García
- first_name: Savita
full_name: Mathur, Savita
last_name: Mathur
- first_name: Sanjib
full_name: Sharma, Sanjib
last_name: Sharma
- first_name: Isabel L
full_name: Colman, Isabel L
last_name: Colman
- first_name: Lisa Annabelle
full_name: Bugnet, Lisa Annabelle
id: d9edb345-f866-11ec-9b37-d119b5234501
last_name: Bugnet
orcid: 0000-0003-0142-4000
citation:
ama: Hon M, Stello D, García RA, et al. A search for red giant solar-like oscillations
in all Kepler data. Monthly Notices of the Royal Astronomical Society.
2019;485(4):5616-5630. doi:10.1093/mnras/stz622
apa: Hon, M., Stello, D., García, R. A., Mathur, S., Sharma, S., Colman, I. L.,
& Bugnet, L. A. (2019). A search for red giant solar-like oscillations in
all Kepler data. Monthly Notices of the Royal Astronomical Society. Oxford
University Press. https://doi.org/10.1093/mnras/stz622
chicago: Hon, Marc, Dennis Stello, Rafael A García, Savita Mathur, Sanjib Sharma,
Isabel L Colman, and Lisa Annabelle Bugnet. “A Search for Red Giant Solar-like
Oscillations in All Kepler Data.” Monthly Notices of the Royal Astronomical
Society. Oxford University Press, 2019. https://doi.org/10.1093/mnras/stz622.
ieee: M. Hon et al., “A search for red giant solar-like oscillations in all
Kepler data,” Monthly Notices of the Royal Astronomical Society, vol. 485,
no. 4. Oxford University Press, pp. 5616–5630, 2019.
ista: Hon M, Stello D, García RA, Mathur S, Sharma S, Colman IL, Bugnet LA. 2019.
A search for red giant solar-like oscillations in all Kepler data. Monthly Notices
of the Royal Astronomical Society. 485(4), 5616–5630.
mla: Hon, Marc, et al. “A Search for Red Giant Solar-like Oscillations in All Kepler
Data.” Monthly Notices of the Royal Astronomical Society, vol. 485, no.
4, Oxford University Press, 2019, pp. 5616–30, doi:10.1093/mnras/stz622.
short: M. Hon, D. Stello, R.A. García, S. Mathur, S. Sharma, I.L. Colman, L.A. Bugnet,
Monthly Notices of the Royal Astronomical Society 485 (2019) 5616–5630.
date_created: 2022-07-18T14:26:03Z
date_published: 2019-06-01T00:00:00Z
date_updated: 2022-08-22T07:35:19Z
day: '01'
doi: 10.1093/mnras/stz622
extern: '1'
external_id:
arxiv:
- '1903.00115'
intvolume: ' 485'
issue: '4'
keyword:
- Space and Planetary Science
- Astronomy and Astrophysics
- asteroseismology
- 'methods: data analysis'
- 'techniques: image processing'
- 'stars: oscillations'
- 'stars: statistics'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1903.00115
month: '06'
oa: 1
oa_version: Preprint
page: 5616-5630
publication: Monthly Notices of the Royal Astronomical Society
publication_identifier:
eissn:
- 1365-2966
issn:
- 0035-8711
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: A search for red giant solar-like oscillations in all Kepler data
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 485
year: '2019'
...
---
_id: '11558'
abstract:
- lang: eng
text: We present and explore deep narrow- and medium-band data obtained with the
Subaru and the Isaac Newton Telescopes in the ∼2 deg2 COSMOS field. We use these
data as an extremely wide, low-resolution (R ∼ 20–80) Integral Field Unit survey
to slice through the COSMOS field and obtain a large sample of ∼4000 Ly α emitters
(LAEs) from z ∼ 2 to 6 in 16 redshift slices (SC4K). We present new Ly α luminosity
functions (LFs) covering a comoving volume of ∼108 Mpc3. SC4K extensively complements
ultradeep surveys, jointly covering over 4 dex in Ly α luminosity and revealing
a global (2.5 < z < 6) synergy LF with α=−1.93+0.12−0.12, log10Φ∗Lyα=−3.45+0.22−0.29 Mpc−3,
and log10L∗Lyα=42.93+0.15−0.11 erg s−1. The Schechter component of the Ly α LF
reveals a factor ∼5 rise in L∗Lyα and a ∼7 × decline in Φ∗Lyα from z ∼ 2 to 6.
The data reveal an extra power-law (or Schechter) component above LLy α ≈ 1043.3 erg s−1
at z ∼ 2.2–3.5 and we show that it is partially driven by X-ray and radio active
galactic nucleus (AGN), as their Ly α LF resembles the excess. The power-law component
vanishes and/or is below our detection limits above z > 3.5, likely linked with
the evolution of the AGN population. The Ly α luminosity density rises by a factor
∼2 from z ∼ 2 to 3 but is then found to be roughly constant (1.1+0.2−0.2×1040 erg s−1 Mpc−3)
to z ∼ 6, despite the ∼0.7 dex drop in ultraviolet (UV) luminosity density. The
Ly α/UV luminosity density ratio rises from 4 ± 1 per cent to 30 ± 6 per cent
from z ∼ 2.2 to 6. Our results imply a rise of a factor of ≈2 in the global ionization
efficiency (ξion) and a factor ≈4 ± 1 in the Ly α escape fraction from z ∼ 2 to
6, hinting for evolution in both the typical burstiness/stellar populations and
even more so in the typical interstellar medium conditions allowing Ly α photons
to escape.
acknowledgement: "We thank the anonymous referee for their constructive comments that
helped us improve the manuscript. DS acknowledges the hospitality of the IAC and
a Severo Ochoa visiting grant. SS and JC acknowledge studentships from the Lancaster
University. JM acknowledges a Huygens PhD fellowship from Leiden University. APA
acknowledges financial support from the Science and Technology Foundation (FCT,
Portugal) through research grants UID/FIS/04434/2013 and fellowship PD/BD/52706/2014.
The authors thank Alyssa Drake, Kimihiko Nakajima, Yuichi Harikane, Max Gronke,
Irene Shivaei, Helmut Dannerbauer, Huub Rottgering, ¨ Marius Eide, and Masami Ouchi
for many engaging and stimulating discussions. We also thank Sara Perez, Alex Bennett,
and Tom Rose for their involvement in the early stages of this project. Based on
data products from observations made with European Southern Observatory (ESO) Telescopes
at the La Silla Paranal Observatory under ESO programme IDs 294.A-5018, 097.A 0943,\r\n098.A-0819,
099.A-0254, and 179.A-2005 and on data products produced by TERAPIX and the Cambridge
Astronomy Survey Unit on behalf of the UltraVISTA consortium. Based on observations
using the WFC on the 2.5 m INT, as part of programmes 2013AN002, 2013BN008, 2014AC88,
2014AN002, 2014BN006, 2014BC118, and 2016AN001. The INT is operated on the island
of La Palma by the Isaac Newton Group in the Spanish Observatorio del Roque de los
Muchachos of the Instituto de Astrofisica de Canarias. This work is based in part
on data products produced at TERAPIX available at the Canadian Astronomy Data Centre
as part of the Canada–France– Hawaii Telescope Legacy Survey (CFHTLS), a collaborative
project of NRC and CNRS.\r\nWe are grateful to the CFHTLS, COSMOS-UltraVISTA, and
COSMOS survey teams. We are also unmeasurably thankful to the pioneering and continuous
work from previous Ly α surveys’ teams. Without these previous Ly α and the wider
reach legacy surveys, this research would have been impossible. We also thank the
VUDS team for making available spectroscopic redshifts from data obtained with VIMOS
at the European Southern Observatory Very Large Telescope, Paranal, Chile, under
Large Programme 185.A-0791. Finally, the authors acknowledge the unique value of
the publicly available programming language PYTHON, including the NUMPY and SCIPY
(Van Der Walt, Colbert & Varoquaux 2011; Jones et al. 2001), MATPLOTLIB (Hunter
2007), ASTROPY (Astropy Collaboration et al. 2013), and the TOPCAT analysis program
(Taylor 2005). We publicly release a catalogue with all LAEs used in this paper
(SC4K), so it can be freely explored by the community (see five example entries
in Table A1)."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: David
full_name: Sobral, David
last_name: Sobral
- first_name: Sérgio
full_name: Santos, Sérgio
last_name: Santos
- first_name: Jorryt J
full_name: Matthee, Jorryt J
id: 7439a258-f3c0-11ec-9501-9df22fe06720
last_name: Matthee
orcid: 0000-0003-2871-127X
- first_name: Ana
full_name: Paulino-Afonso, Ana
last_name: Paulino-Afonso
- first_name: Bruno
full_name: Ribeiro, Bruno
last_name: Ribeiro
- first_name: João
full_name: Calhau, João
last_name: Calhau
- first_name: Ali A
full_name: Khostovan, Ali A
last_name: Khostovan
citation:
ama: 'Sobral D, Santos S, Matthee JJ, et al. Slicing COSMOS with SC4K: The evolution
of typical Ly α emitters and the Ly α escape fraction from z ∼ 2 to 6. Monthly
Notices of the Royal Astronomical Society. 2018;476(4):4725-4752. doi:10.1093/mnras/sty378'
apa: 'Sobral, D., Santos, S., Matthee, J. J., Paulino-Afonso, A., Ribeiro, B., Calhau,
J., & Khostovan, A. A. (2018). Slicing COSMOS with SC4K: The evolution of
typical Ly α emitters and the Ly α escape fraction from z ∼ 2 to 6. Monthly
Notices of the Royal Astronomical Society. Oxford University Press. https://doi.org/10.1093/mnras/sty378'
chicago: 'Sobral, David, Sérgio Santos, Jorryt J Matthee, Ana Paulino-Afonso, Bruno
Ribeiro, João Calhau, and Ali A Khostovan. “Slicing COSMOS with SC4K: The Evolution
of Typical Ly α Emitters and the Ly α Escape Fraction from z ∼ 2 to 6.” Monthly
Notices of the Royal Astronomical Society. Oxford University Press, 2018.
https://doi.org/10.1093/mnras/sty378.'
ieee: 'D. Sobral et al., “Slicing COSMOS with SC4K: The evolution of typical
Ly α emitters and the Ly α escape fraction from z ∼ 2 to 6,” Monthly Notices
of the Royal Astronomical Society, vol. 476, no. 4. Oxford University Press,
pp. 4725–4752, 2018.'
ista: 'Sobral D, Santos S, Matthee JJ, Paulino-Afonso A, Ribeiro B, Calhau J, Khostovan
AA. 2018. Slicing COSMOS with SC4K: The evolution of typical Ly α emitters and
the Ly α escape fraction from z ∼ 2 to 6. Monthly Notices of the Royal Astronomical
Society. 476(4), 4725–4752.'
mla: 'Sobral, David, et al. “Slicing COSMOS with SC4K: The Evolution of Typical
Ly α Emitters and the Ly α Escape Fraction from z ∼ 2 to 6.” Monthly Notices
of the Royal Astronomical Society, vol. 476, no. 4, Oxford University Press,
2018, pp. 4725–52, doi:10.1093/mnras/sty378.'
short: D. Sobral, S. Santos, J.J. Matthee, A. Paulino-Afonso, B. Ribeiro, J. Calhau,
A.A. Khostovan, Monthly Notices of the Royal Astronomical Society 476 (2018) 4725–4752.
date_created: 2022-07-12T10:41:08Z
date_published: 2018-06-01T00:00:00Z
date_updated: 2022-08-19T07:04:45Z
day: '01'
doi: 10.1093/mnras/sty378
extern: '1'
external_id:
arxiv:
- '1712.04451'
intvolume: ' 476'
issue: '4'
keyword:
- Space and Planetary Science
- Astronomy and Astrophysics
- 'galaxies: evolution'
- 'galaxies: formation'
- 'galaxies: high-redshift'
- 'galaxies: luminosity function'
- mass function
- 'galaxies: statistics'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1712.04451
month: '06'
oa: 1
oa_version: Preprint
page: 4725-4752
publication: Monthly Notices of the Royal Astronomical Society
publication_identifier:
eissn:
- 1365-2966
issn:
- 0035-8711
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Slicing COSMOS with SC4K: The evolution of typical Ly α emitters and the Ly α
escape fraction from z ∼ 2 to 6'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 476
year: '2018'
...
---
_id: '8421'
abstract:
- lang: eng
text: 'The classical Birkhoff conjecture claims that the boundary of a strictly
convex integrable billiard table is necessarily an ellipse (or a circle as a special
case). In this article we prove a complete local version of this conjecture: a
small integrable perturbation of an ellipse must be an ellipse. This extends and
completes the result in Avila-De Simoi-Kaloshin, where nearly circular domains
were considered. One of the crucial ideas in the proof is to extend action-angle
coordinates for elliptic billiards into complex domains (with respect to the angle),
and to thoroughly analyze the nature of their complex singularities. As an application,
we are able to prove some spectral rigidity results for elliptic domains.'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Vadim
full_name: Kaloshin, Vadim
id: FE553552-CDE8-11E9-B324-C0EBE5697425
last_name: Kaloshin
orcid: 0000-0002-6051-2628
- first_name: Alfonso
full_name: Sorrentino, Alfonso
last_name: Sorrentino
citation:
ama: Kaloshin V, Sorrentino A. On the local Birkhoff conjecture for convex billiards.
Annals of Mathematics. 2018;188(1):315-380. doi:10.4007/annals.2018.188.1.6
apa: Kaloshin, V., & Sorrentino, A. (2018). On the local Birkhoff conjecture
for convex billiards. Annals of Mathematics. Annals of Mathematics, Princeton
U. https://doi.org/10.4007/annals.2018.188.1.6
chicago: Kaloshin, Vadim, and Alfonso Sorrentino. “On the Local Birkhoff Conjecture
for Convex Billiards.” Annals of Mathematics. Annals of Mathematics, Princeton
U, 2018. https://doi.org/10.4007/annals.2018.188.1.6.
ieee: V. Kaloshin and A. Sorrentino, “On the local Birkhoff conjecture for convex
billiards,” Annals of Mathematics, vol. 188, no. 1. Annals of Mathematics,
Princeton U, pp. 315–380, 2018.
ista: Kaloshin V, Sorrentino A. 2018. On the local Birkhoff conjecture for convex
billiards. Annals of Mathematics. 188(1), 315–380.
mla: Kaloshin, Vadim, and Alfonso Sorrentino. “On the Local Birkhoff Conjecture
for Convex Billiards.” Annals of Mathematics, vol. 188, no. 1, Annals of
Mathematics, Princeton U, 2018, pp. 315–80, doi:10.4007/annals.2018.188.1.6.
short: V. Kaloshin, A. Sorrentino, Annals of Mathematics 188 (2018) 315–380.
date_created: 2020-09-17T10:42:22Z
date_published: 2018-07-01T00:00:00Z
date_updated: 2021-01-12T08:19:10Z
day: '01'
doi: 10.4007/annals.2018.188.1.6
extern: '1'
external_id:
arxiv:
- '1612.09194'
intvolume: ' 188'
issue: '1'
keyword:
- Statistics
- Probability and Uncertainty
- Statistics and Probability
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1612.09194
month: '07'
oa: 1
oa_version: Preprint
page: 315-380
publication: Annals of Mathematics
publication_identifier:
issn:
- 0003-486X
publication_status: published
publisher: Annals of Mathematics, Princeton U
quality_controlled: '1'
status: public
title: On the local Birkhoff conjecture for convex billiards
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 188
year: '2018'
...
---
_id: '11562'
abstract:
- lang: eng
text: We present the CAlibrating LYMan-α with Hα (CALYMHA) pilot survey and new
results on Lyman α (Lyα) selected galaxies at z ∼ 2. We use a custom-built Lyα
narrow-band filter at the Isaac Newton Telescope, designed to provide a matched
volume coverage to the z = 2.23 Hα HiZELS survey. Here, we present the first results
for the COSMOS and UDS fields. Our survey currently reaches a 3σ line flux limit
of ∼4 × 10−17 erg s−1 cm−2, and a Lyα luminosity limit of ∼1042.3 erg s−1. We
find 188 Lyα emitters over 7.3 × 105 Mpc3, but also find significant numbers of
other line-emitting sources corresponding to He II, C III] and C IV emission lines.
These sources are important contaminants, and we carefully remove them, unlike
most previous studies. We find that the Lyα luminosity function at z = 2.23 is
very well described by a Schechter function up to LLy α ≈ 1043 erg s−1 with L∗=1042.59+0.16−0.08
erg s−1, ϕ∗=10−3.09+0.14−0.34 Mpc−3 and α = −1.75 ± 0.25. Above LLy α ≈ 1043 erg
s−1, the Lyα luminosity function becomes power-law like, driven by X-ray AGN.
We find that Lyα-selected emitters have a high escape fraction of 37 ± 7 per cent,
anticorrelated with Lyα luminosity and correlated with Lyα equivalent width. Lyα
emitters have ubiquitous large (≈40 kpc) Lyα haloes, ∼2 times larger than their
Hα extents. By directly comparing our Lyα and Hα luminosity functions, we find
that the global/overall escape fraction of Lyα photons (within a 13 kpc radius)
from the full population of star-forming galaxies is 5.1 ± 0.2 per cent at the
peak of the star formation history. An extra 3.3 ± 0.3 per cent of Lyα photons
likely still escape, but at larger radii.
acknowledgement: 'We thank the reviewer for his/her helpful comments and suggestions
that have greatly improved this work. DS and JM acknowledge financial support from
the Netherlands Organisation for Scientific research (NWO) through a Veni fellowship.
DS also acknowledges funding from FCT through an FCT Investigator Starting Grant
and Start-up Grant (IF/01154/2012/CP0189/CT0010). PNB is grateful for support from
the UK STFC via grant ST/M001229/1. IRS acknowledges support from STFC (ST/L00075X/1),
the ERC Advanced Investigator programme DUSTYGAL 321334 and a Royal Society/Wolfson
merit award. We thank Matthew Hayes, Ryan Trainor, Kimihiko Nakajima and Anne Verhamme
for many helpful discussions and Ana Sobral, Carolina Duarte and Miguel Domingos
for taking part in observations with the NB392 filter. We also thank Sergio Santos
for helpful comments. This research is based on observations obtained on the Isaac
Newton Telescope (INT), programs: I13AN002, I14AN002, 088-INT7/14A, I14BN006, 118-INT13/14B
& I15AN008. The authors acknowledge the award of time from programmes: I13AN002,
I14AN002, 088-INT7/14A, I14BN006, 118-INT13/14B, I15AN008 on the INT. INT is operated
on the island of La Palma by the Isaac Newton Group in the Spanish Observatorio
del Roque de los Muchachos of the Instituto de Astrofisica de Canarias. Based on
observations made with ESO Telescopes at the La Silla Paranal Observatory under
programme ID 098.A 0819. We have benefited greatly from the publicly available programming
language PYTHON, including the NUMPY, MATPLOTLIB, PYFITS, SCIPY and ASTROPY packages,
the astronomical imaging tools SEXTRACTOR, SWARP (Bertin & Arnouts 1996; Bertin
2010), SCAMP (Bertin 2006) and TOPCAT (Taylor 2005). Dedicated to the memory of
M. L. Nicolau and M. C. Serrano.'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: David
full_name: Sobral, David
last_name: Sobral
- first_name: Jorryt J
full_name: Matthee, Jorryt J
id: 7439a258-f3c0-11ec-9501-9df22fe06720
last_name: Matthee
orcid: 0000-0003-2871-127X
- first_name: Philip
full_name: Best, Philip
last_name: Best
- first_name: Andra
full_name: Stroe, Andra
last_name: Stroe
- first_name: Huub
full_name: Röttgering, Huub
last_name: Röttgering
- first_name: Iván
full_name: Oteo, Iván
last_name: Oteo
- first_name: Ian
full_name: Smail, Ian
last_name: Smail
- first_name: Leah
full_name: Morabito, Leah
last_name: Morabito
- first_name: Ana
full_name: Paulino-Afonso, Ana
last_name: Paulino-Afonso
citation:
ama: 'Sobral D, Matthee JJ, Best P, et al. The CALYMHA survey: Lyα luminosity function
and global escape fraction of Lyα photons at z = 2.23. Monthly Notices of the
Royal Astronomical Society. 2017;466(1):1242-1258. doi:10.1093/mnras/stw3090'
apa: 'Sobral, D., Matthee, J. J., Best, P., Stroe, A., Röttgering, H., Oteo, I.,
… Paulino-Afonso, A. (2017). The CALYMHA survey: Lyα luminosity function and global
escape fraction of Lyα photons at z = 2.23. Monthly Notices of the Royal Astronomical
Society. Oxford University Press. https://doi.org/10.1093/mnras/stw3090'
chicago: 'Sobral, David, Jorryt J Matthee, Philip Best, Andra Stroe, Huub Röttgering,
Iván Oteo, Ian Smail, Leah Morabito, and Ana Paulino-Afonso. “The CALYMHA Survey:
Lyα Luminosity Function and Global Escape Fraction of Lyα Photons at z = 2.23.”
Monthly Notices of the Royal Astronomical Society. Oxford University Press,
2017. https://doi.org/10.1093/mnras/stw3090.'
ieee: 'D. Sobral et al., “The CALYMHA survey: Lyα luminosity function and
global escape fraction of Lyα photons at z = 2.23,” Monthly Notices of the
Royal Astronomical Society, vol. 466, no. 1. Oxford University Press, pp.
1242–1258, 2017.'
ista: 'Sobral D, Matthee JJ, Best P, Stroe A, Röttgering H, Oteo I, Smail I, Morabito
L, Paulino-Afonso A. 2017. The CALYMHA survey: Lyα luminosity function and global
escape fraction of Lyα photons at z = 2.23. Monthly Notices of the Royal Astronomical
Society. 466(1), 1242–1258.'
mla: 'Sobral, David, et al. “The CALYMHA Survey: Lyα Luminosity Function and Global
Escape Fraction of Lyα Photons at z = 2.23.” Monthly Notices of the Royal Astronomical
Society, vol. 466, no. 1, Oxford University Press, 2017, pp. 1242–58, doi:10.1093/mnras/stw3090.'
short: D. Sobral, J.J. Matthee, P. Best, A. Stroe, H. Röttgering, I. Oteo, I. Smail,
L. Morabito, A. Paulino-Afonso, Monthly Notices of the Royal Astronomical Society
466 (2017) 1242–1258.
date_created: 2022-07-12T12:04:16Z
date_published: 2017-04-01T00:00:00Z
date_updated: 2022-08-19T07:18:20Z
day: '01'
doi: 10.1093/mnras/stw3090
extern: '1'
external_id:
arxiv:
- '1609.05897'
intvolume: ' 466'
issue: '1'
keyword:
- Space and Planetary Science
- Astronomy and Astrophysics
- 'galaxies: evolution'
- 'galaxies: haloes'
- 'galaxies: high-redshift'
- 'galaxies: luminosity function'
- mass function
- 'galaxies: statistics'
- 'cosmology: observations'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1609.05897
month: '04'
oa: 1
oa_version: Preprint
page: 1242-1258
publication: Monthly Notices of the Royal Astronomical Society
publication_identifier:
eissn:
- 1365-2966
issn:
- 0035-8711
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'The CALYMHA survey: Lyα luminosity function and global escape fraction of
Lyα photons at z = 2.23'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 466
year: '2017'
...