---
_id: '2268'
abstract:
- lang: eng
text: 'This paper presents an analytic formulation for anti-aliased sampling of
2D polygons and 3D polyhedra. Our framework allows the exact evaluation of the
convolution integral with a linear function defined on the polytopes. The filter
is a spherically symmetric polynomial of any order, supporting approximations
to refined variants such as the Mitchell-Netravali filter family. This enables
high-quality rasterization of triangles and tetrahedra with linearly interpolated
vertex values to regular and non-regular grids. A closed form solution of the
convolution is presented and an efficient implementation on the GPU using DirectX
and CUDA C is described. '
acknowledgement: |-
Funding was provided by the FWF grant P20768-N13.
We want to thank the reviewers for their insightful and helpful remarks, Hang Si for making available TetGen and Stefan Bruckner for VolumeShop.
alternative_title:
- Computer Graphics Forum
author:
- first_name: Thomas
full_name: Thomas Auzinger
id: 4718F954-F248-11E8-B48F-1D18A9856A87
last_name: Auzinger
orcid: 0000-0002-1546-3265
- first_name: Michael
full_name: Guthe, Michael
last_name: Guthe
- first_name: Stefan
full_name: Stefan Jeschke
id: 44D6411A-F248-11E8-B48F-1D18A9856A87
last_name: Jeschke
citation:
ama: 'Auzinger T, Guthe M, Jeschke S. Analytic anti-aliasing of linear functions
on polytopes. In: Vol 31. Wiley-Blackwell; 2012:335-344. doi:http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x'
apa: 'Auzinger, T., Guthe, M., & Jeschke, S. (2012). Analytic anti-aliasing
of linear functions on polytopes (Vol. 31, pp. 335–344). Presented at the EUROGRAPHICS:
European Association for Computer Graphics, Wiley-Blackwell. http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x'
chicago: Auzinger, Thomas, Michael Guthe, and Stefan Jeschke. “Analytic Anti-Aliasing
of Linear Functions on Polytopes,” 31:335–44. Wiley-Blackwell, 2012. http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x.
ieee: 'T. Auzinger, M. Guthe, and S. Jeschke, “Analytic anti-aliasing of linear
functions on polytopes,” presented at the EUROGRAPHICS: European Association for
Computer Graphics, 2012, vol. 31, no. 121, pp. 335–344.'
ista: 'Auzinger T, Guthe M, Jeschke S. 2012. Analytic anti-aliasing of linear functions
on polytopes. EUROGRAPHICS: European Association for Computer Graphics, Computer
Graphics Forum, vol. 31, 335–344.'
mla: Auzinger, Thomas, et al. Analytic Anti-Aliasing of Linear Functions on Polytopes.
Vol. 31, no. 121, Wiley-Blackwell, 2012, pp. 335–44, doi:http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x.
short: T. Auzinger, M. Guthe, S. Jeschke, in:, Wiley-Blackwell, 2012, pp. 335–344.
conference:
name: 'EUROGRAPHICS: European Association for Computer Graphics'
date_created: 2018-12-11T11:56:40Z
date_published: 2012-05-13T00:00:00Z
date_updated: 2021-01-12T06:56:24Z
day: '13'
doi: http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x
extern: 1
intvolume: ' 31'
issue: 121
main_file_link:
- open_access: '1'
url: https://www.cg.tuwien.ac.at/research/publications/2012/Auzinger_2012_AAA/
month: '05'
oa: 1
page: 335 - 344
publication_status: published
publisher: Wiley-Blackwell
publist_id: '4676'
quality_controlled: 0
status: public
title: Analytic anti-aliasing of linear functions on polytopes
type: conference
volume: 31
year: '2012'
...
---
_id: '2302'
abstract:
- lang: eng
text: 'We introduce propagation models (PMs), a formalism able to express several
kinds of equations that describe the behavior of biochemical reaction networks.
Furthermore, we introduce the propagation abstract data type (PADT), which separates
concerns regarding different numerical algorithms for the transient analysis of
biochemical reaction networks from concerns regarding their implementation, thus
allowing for portable and efficient solutions. The state of a propagation abstract
data type is given by a vector that assigns mass values to a set of nodes, and
its (next) operator propagates mass values through this set of nodes. We propose
an approximate implementation of the (next) operator, based on threshold abstraction,
which propagates only "significant" mass values and thus achieves a
compromise between efficiency and accuracy. Finally, we give three use cases for
propagation models: the chemical master equation (CME), the reaction rate equation
(RRE), and a hybrid method that combines these two equations. These three applications
use propagation models in order to propagate probabilities and/or expected values
and variances of the model''s variables.'
author:
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Maria
full_name: Mateescu, Maria
id: 3B43276C-F248-11E8-B48F-1D18A9856A87
last_name: Mateescu
citation:
ama: Henzinger TA, Mateescu M. The propagation approach for computing biochemical
reaction networks. IEEE ACM Transactions on Computational Biology and Bioinformatics.
2012;10(2):310-322. doi:10.1109/TCBB.2012.91
apa: Henzinger, T. A., & Mateescu, M. (2012). The propagation approach for computing
biochemical reaction networks. IEEE ACM Transactions on Computational Biology
and Bioinformatics. IEEE. https://doi.org/10.1109/TCBB.2012.91
chicago: Henzinger, Thomas A, and Maria Mateescu. “The Propagation Approach for
Computing Biochemical Reaction Networks.” IEEE ACM Transactions on Computational
Biology and Bioinformatics. IEEE, 2012. https://doi.org/10.1109/TCBB.2012.91.
ieee: T. A. Henzinger and M. Mateescu, “The propagation approach for computing biochemical
reaction networks,” IEEE ACM Transactions on Computational Biology and Bioinformatics,
vol. 10, no. 2. IEEE, pp. 310–322, 2012.
ista: Henzinger TA, Mateescu M. 2012. The propagation approach for computing biochemical
reaction networks. IEEE ACM Transactions on Computational Biology and Bioinformatics.
10(2), 310–322.
mla: Henzinger, Thomas A., and Maria Mateescu. “The Propagation Approach for Computing
Biochemical Reaction Networks.” IEEE ACM Transactions on Computational Biology
and Bioinformatics, vol. 10, no. 2, IEEE, 2012, pp. 310–22, doi:10.1109/TCBB.2012.91.
short: T.A. Henzinger, M. Mateescu, IEEE ACM Transactions on Computational Biology
and Bioinformatics 10 (2012) 310–322.
date_created: 2018-12-11T11:56:52Z
date_published: 2012-07-03T00:00:00Z
date_updated: 2021-01-12T06:56:38Z
day: '03'
department:
- _id: ToHe
- _id: CaGu
doi: 10.1109/TCBB.2012.91
ec_funded: 1
external_id:
pmid:
- '22778152'
intvolume: ' 10'
issue: '2'
language:
- iso: eng
month: '07'
oa_version: None
page: 310 - 322
pmid: 1
project:
- _id: 25EE3708-B435-11E9-9278-68D0E5697425
call_identifier: FP7
grant_number: '267989'
name: Quantitative Reactive Modeling
publication: IEEE ACM Transactions on Computational Biology and Bioinformatics
publication_status: published
publisher: IEEE
publist_id: '4625'
quality_controlled: '1'
scopus_import: 1
status: public
title: The propagation approach for computing biochemical reaction networks
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 10
year: '2012'
...
---
_id: '2313'
abstract:
- lang: eng
text: The translation of "next-generation" sequencing directly to the
clinic is still being assessed but has the potential for genetic diseases to reduce
costs, advance accuracy, and point to unsuspected yet treatable conditions. To
study its capability in the clinic, we performed whole-exome sequencing in 118
probands with a diagnosis of a pediatric-onset neurodevelopmental disease in which
most known causes had been excluded. Twenty-two genes not previously identified
as disease-causing were identified in this study (19% of cohort), further establishing
exome sequencing as a useful tool for gene discovery. New genes identified included
EXOC8 in Joubert syndrome and GFM2 in a patient with microcephaly, simplified
gyral pattern, and insulin-dependent diabetes. Exome sequencing uncovered 10 probands
(8% of cohort) with mutations in genes known to cause a disease different from
the initial diagnosis. Upon further medical evaluation, these mutations were found
to account for each proband's disease, leading to a change in diagnosis, some
of which led to changes in patient management. Our data provide proof of principle
that genomic strategies are useful in clarifying diagnosis in a proportion of
patients with neurodevelopmental disorders.
author:
- first_name: Tracy
full_name: Dixon-Salazar, Tracy J
last_name: Dixon Salazar
- first_name: Jennifer
full_name: Silhavy, Jennifer L
last_name: Silhavy
- first_name: Nitin
full_name: Udpa, Nitin
last_name: Udpa
- first_name: Jana
full_name: Schroth, Jana
last_name: Schroth
- first_name: Stephanie
full_name: Bielas, Stephanie L
last_name: Bielas
- first_name: Ashleigh
full_name: Schaffer, Ashleigh E
last_name: Schaffer
- first_name: Jesus
full_name: Olvera, Jesus
last_name: Olvera
- first_name: Vineet
full_name: Bafna, Vineet K
last_name: Bafna
- first_name: Maha
full_name: Zaki, Maha S
last_name: Zaki
- first_name: Ghada
full_name: Abdel-Salam, Ghada M
last_name: Abdel Salam
- first_name: Lobna
full_name: Mansour, Lobna A
last_name: Mansour
- first_name: Laila
full_name: Selim, Laila A
last_name: Selim
- first_name: Sawsan
full_name: Abdel-Hadi, Sawsan S
last_name: Abdel Hadi
- first_name: Naima
full_name: Marzouki, Naima
last_name: Marzouki
- first_name: Tawfeg
full_name: Ben-Omran, Tawfeg I
last_name: Ben Omran
- first_name: Nouriya
full_name: Al-Saana, Nouriya A
last_name: Al Saana
- first_name: Fatma
full_name: Sönmez, Fatma M
last_name: Sönmez
- first_name: Figen
full_name: Celep, Figen
last_name: Celep
- first_name: Matloob
full_name: Azam, Matloob
last_name: Azam
- first_name: Kiley
full_name: Hill, Kiley J
last_name: Hill
- first_name: Adrienne
full_name: Collazo, Adrienne
last_name: Collazo
- first_name: Ali
full_name: Fenstermaker, Ali G
last_name: Fenstermaker
- first_name: Gaia
full_name: Gaia Novarino
id: 3E57A680-F248-11E8-B48F-1D18A9856A87
last_name: Novarino
orcid: 0000-0002-7673-7178
- first_name: Naiara
full_name: Akizu, Naiara
last_name: Akizu
- first_name: Kiran
full_name: Garimella, Kiran V
last_name: Garimella
- first_name: Carrie
full_name: Sougnez, Carrie L
last_name: Sougnez
- first_name: Carsten
full_name: Russ, Carsten
last_name: Russ
- first_name: Stacey
full_name: Gabriel, Stacey B
last_name: Gabriel
- first_name: Joseph
full_name: Gleeson, Joseph G
last_name: Gleeson
citation:
ama: Dixon Salazar T, Silhavy J, Udpa N, et al. Exome sequencing can improve diagnosis
and alter patient management. Science Translational Medicine. 2012;4(138).
doi:10.1126/scitranslmed.3003544
apa: Dixon Salazar, T., Silhavy, J., Udpa, N., Schroth, J., Bielas, S., Schaffer,
A., … Gleeson, J. (2012). Exome sequencing can improve diagnosis and alter patient
management. Science Translational Medicine. American Association for the
Advancement of Science. https://doi.org/10.1126/scitranslmed.3003544
chicago: Dixon Salazar, Tracy, Jennifer Silhavy, Nitin Udpa, Jana Schroth, Stephanie
Bielas, Ashleigh Schaffer, Jesus Olvera, et al. “Exome Sequencing Can Improve
Diagnosis and Alter Patient Management.” Science Translational Medicine.
American Association for the Advancement of Science, 2012. https://doi.org/10.1126/scitranslmed.3003544.
ieee: T. Dixon Salazar et al., “Exome sequencing can improve diagnosis and
alter patient management,” Science Translational Medicine, vol. 4, no.
138. American Association for the Advancement of Science, 2012.
ista: Dixon Salazar T, Silhavy J, Udpa N, Schroth J, Bielas S, Schaffer A, Olvera
J, Bafna V, Zaki M, Abdel Salam G, Mansour L, Selim L, Abdel Hadi S, Marzouki
N, Ben Omran T, Al Saana N, Sönmez F, Celep F, Azam M, Hill K, Collazo A, Fenstermaker
A, Novarino G, Akizu N, Garimella K, Sougnez C, Russ C, Gabriel S, Gleeson J.
2012. Exome sequencing can improve diagnosis and alter patient management. Science
Translational Medicine. 4(138).
mla: Dixon Salazar, Tracy, et al. “Exome Sequencing Can Improve Diagnosis and Alter
Patient Management.” Science Translational Medicine, vol. 4, no. 138, American
Association for the Advancement of Science, 2012, doi:10.1126/scitranslmed.3003544.
short: T. Dixon Salazar, J. Silhavy, N. Udpa, J. Schroth, S. Bielas, A. Schaffer,
J. Olvera, V. Bafna, M. Zaki, G. Abdel Salam, L. Mansour, L. Selim, S. Abdel Hadi,
N. Marzouki, T. Ben Omran, N. Al Saana, F. Sönmez, F. Celep, M. Azam, K. Hill,
A. Collazo, A. Fenstermaker, G. Novarino, N. Akizu, K. Garimella, C. Sougnez,
C. Russ, S. Gabriel, J. Gleeson, Science Translational Medicine 4 (2012).
date_created: 2018-12-11T11:56:56Z
date_published: 2012-06-13T00:00:00Z
date_updated: 2021-01-12T06:56:43Z
day: '13'
doi: 10.1126/scitranslmed.3003544
extern: 1
intvolume: ' 4'
issue: '138'
month: '06'
publication: Science Translational Medicine
publication_status: published
publisher: American Association for the Advancement of Science
publist_id: '4614'
quality_controlled: 0
status: public
title: Exome sequencing can improve diagnosis and alter patient management
type: journal_article
volume: 4
year: '2012'
...
---
_id: '2314'
abstract:
- lang: eng
text: Autism spectrum disorders are a genetically heterogeneous constellation of
syndromes characterized by impairments in reciprocal social interaction. Available
somatic treatments have limited efficacy. We have identified inactivating mutations
in the gene BCKDK (Branched Chain Ketoacid Dehydrogenase Kinase) in consanguineous
families with autism, epilepsy, and intellectual disability. The encoded protein
is responsible for phosphorylation-mediated inactivation of the E1α subunit of
branched-chain ketoacid dehydrogenase (BCKDH). Patients with homozygous BCKDK
mutations display reductions in BCKDK messenger RNA and protein, E1α phosphorylation,
and plasma branched-chain amino acids. Bckdk knockout mice show abnormal brain
amino acid profiles and neurobehavioral deficits that respond to dietary supplementation.
Thus, autism presenting with intellectual disability and epilepsy caused by BCKDK
mutations represents a potentially treatable syndrome.
author:
- first_name: Gaia
full_name: Gaia Novarino
id: 3E57A680-F248-11E8-B48F-1D18A9856A87
last_name: Novarino
orcid: 0000-0002-7673-7178
- first_name: Paul
full_name: El-Fishawy, Paul
last_name: El Fishawy
- first_name: Hülya
full_name: Kayserili, Hülya
last_name: Kayserili
- first_name: Nagwa
full_name: Meguid, Nagwa A
last_name: Meguid
- first_name: Eric
full_name: Scott, Eric M
last_name: Scott
- first_name: Jana
full_name: Schroth, Jana
last_name: Schroth
- first_name: Jennifer
full_name: Silhavy, Jennifer L
last_name: Silhavy
- first_name: Majdi
full_name: Kara, Majdi
last_name: Kara
- first_name: Rehab
full_name: Khalil, Rehab O
last_name: Khalil
- first_name: Tawfeg
full_name: Ben-Omran, Tawfeg I
last_name: Ben Omran
- first_name: Adife
full_name: Ercan-Sencicek, Adife G
last_name: Ercan Sencicek
- first_name: Adel
full_name: Hashish, Adel F
last_name: Hashish
- first_name: Stephan
full_name: Sanders, Stephan J
last_name: Sanders
- first_name: Abha
full_name: Gupta, Abha R
last_name: Gupta
- first_name: Hebatalla
full_name: Hashem, Hebatalla S
last_name: Hashem
- first_name: Dietrich
full_name: Matern, Dietrich
last_name: Matern
- first_name: Stacey
full_name: Gabriel, Stacey B
last_name: Gabriel
- first_name: Lawrence
full_name: Sweetman, Lawrence
last_name: Sweetman
- first_name: Yasmeen
full_name: Rahimi, Yasmeen
last_name: Rahimi
- first_name: Robert
full_name: Harris, Robert A
last_name: Harris
- first_name: Matthew
full_name: State, Matthew W
last_name: State
- first_name: Joseph
full_name: Gleeson, Joseph G
last_name: Gleeson
citation:
ama: Novarino G, El Fishawy P, Kayserili H, et al. Mutations in BCKD-kinase lead
to a potentially treatable form of autism with epilepsy. Science. 2012;338(6105):394-397.
doi:10.1126/science.1224631
apa: Novarino, G., El Fishawy, P., Kayserili, H., Meguid, N., Scott, E., Schroth,
J., … Gleeson, J. (2012). Mutations in BCKD-kinase lead to a potentially treatable
form of autism with epilepsy. Science. American Association for the Advancement
of Science. https://doi.org/10.1126/science.1224631
chicago: Novarino, Gaia, Paul El Fishawy, Hülya Kayserili, Nagwa Meguid, Eric Scott,
Jana Schroth, Jennifer Silhavy, et al. “Mutations in BCKD-Kinase Lead to a Potentially
Treatable Form of Autism with Epilepsy.” Science. American Association
for the Advancement of Science, 2012. https://doi.org/10.1126/science.1224631.
ieee: G. Novarino et al., “Mutations in BCKD-kinase lead to a potentially
treatable form of autism with epilepsy,” Science, vol. 338, no. 6105. American
Association for the Advancement of Science, pp. 394–397, 2012.
ista: Novarino G, El Fishawy P, Kayserili H, Meguid N, Scott E, Schroth J, Silhavy
J, Kara M, Khalil R, Ben Omran T, Ercan Sencicek A, Hashish A, Sanders S, Gupta
A, Hashem H, Matern D, Gabriel S, Sweetman L, Rahimi Y, Harris R, State M, Gleeson
J. 2012. Mutations in BCKD-kinase lead to a potentially treatable form of autism
with epilepsy. Science. 338(6105), 394–397.
mla: Novarino, Gaia, et al. “Mutations in BCKD-Kinase Lead to a Potentially Treatable
Form of Autism with Epilepsy.” Science, vol. 338, no. 6105, American Association
for the Advancement of Science, 2012, pp. 394–97, doi:10.1126/science.1224631.
short: G. Novarino, P. El Fishawy, H. Kayserili, N. Meguid, E. Scott, J. Schroth,
J. Silhavy, M. Kara, R. Khalil, T. Ben Omran, A. Ercan Sencicek, A. Hashish, S.
Sanders, A. Gupta, H. Hashem, D. Matern, S. Gabriel, L. Sweetman, Y. Rahimi, R.
Harris, M. State, J. Gleeson, Science 338 (2012) 394–397.
date_created: 2018-12-11T11:56:56Z
date_published: 2012-10-19T00:00:00Z
date_updated: 2021-01-12T06:56:43Z
day: '19'
doi: 10.1126/science.1224631
extern: 1
intvolume: ' 338'
issue: '6105'
month: '10'
page: 394 - 397
publication: Science
publication_status: published
publisher: American Association for the Advancement of Science
publist_id: '4613'
quality_controlled: 0
status: public
title: Mutations in BCKD-kinase lead to a potentially treatable form of autism with
epilepsy
type: journal_article
volume: 338
year: '2012'
...
---
_id: '2316'
abstract:
- lang: eng
text: 'We summarize our recent results on the ground state energy of multi-polaron
systems. In particular, we discuss stability and existence of the thermodynamic
limit, and we discuss the absence of binding in the case of large Coulomb repulsion
and the corresponding binding-unbinding transition. We also consider the Pekar-Tomasevich
approximation to the ground state energy and we study radial symmetry of the ground
state density. '
author:
- first_name: Rupert
full_name: Frank, Rupert L
last_name: Frank
- first_name: Élliott
full_name: Lieb, Élliott H
last_name: Lieb
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Lawrence
full_name: Thomas, Lawrence E
last_name: Thomas
citation:
ama: 'Frank R, Lieb É, Seiringer R, Thomas L. Ground state properties of multi-polaron
systems. In: World Scientific Publishing; 2012:477-485. doi:10.1142/9789814449243_0045'
apa: 'Frank, R., Lieb, É., Seiringer, R., & Thomas, L. (2012). Ground state
properties of multi-polaron systems (pp. 477–485). Presented at the ICMP: International
Congress on Mathematical Physics, World Scientific Publishing. https://doi.org/10.1142/9789814449243_0045'
chicago: Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Ground
State Properties of Multi-Polaron Systems,” 477–85. World Scientific Publishing,
2012. https://doi.org/10.1142/9789814449243_0045.
ieee: 'R. Frank, É. Lieb, R. Seiringer, and L. Thomas, “Ground state properties
of multi-polaron systems,” presented at the ICMP: International Congress on Mathematical
Physics, 2012, pp. 477–485.'
ista: 'Frank R, Lieb É, Seiringer R, Thomas L. 2012. Ground state properties of
multi-polaron systems. ICMP: International Congress on Mathematical Physics, 477–485.'
mla: Frank, Rupert, et al. Ground State Properties of Multi-Polaron Systems.
World Scientific Publishing, 2012, pp. 477–85, doi:10.1142/9789814449243_0045.
short: R. Frank, É. Lieb, R. Seiringer, L. Thomas, in:, World Scientific Publishing,
2012, pp. 477–485.
conference:
name: 'ICMP: International Congress on Mathematical Physics'
date_created: 2018-12-11T11:56:57Z
date_published: 2012-08-01T00:00:00Z
date_updated: 2021-01-12T06:56:44Z
day: '01'
doi: 10.1142/9789814449243_0045
extern: 1
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1209.3717
month: '08'
oa: 1
page: 477 - 485
publication_status: published
publisher: World Scientific Publishing
publist_id: '4611'
quality_controlled: 0
status: public
title: Ground state properties of multi-polaron systems
type: conference
year: '2012'
...
---
_id: '2317'
abstract:
- lang: eng
text: 'We present a summary of our recent rigorous derivation of the celebrated
Ginzburg-Landau (GL) theory, starting from the microscopic Bardeen-Cooper-Schrieffer
(BCS) model. Close to the critical temperature, GL arises as an effective theory
on the macroscopic scale. The relevant scaling limit is semiclassical in nature,
and semiclassical analysis, with minimal regularity assumptions, plays an important
part in our proof. '
author:
- first_name: Rupert
full_name: Frank, Rupert L
last_name: Frank
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Jan
full_name: Solovej, Jan P
last_name: Solovej
citation:
ama: 'Frank R, Hainzl C, Seiringer R, Solovej J. Microscopic derivation of the Ginzburg-Landau
model. In: World Scientific Publishing; 2012:575-583. doi:10.1142/9789814449243_0060'
apa: 'Frank, R., Hainzl, C., Seiringer, R., & Solovej, J. (2012). Microscopic
derivation of the Ginzburg-Landau model (pp. 575–583). Presented at the ICMP:
International Congress on Mathematical Physics, World Scientific Publishing. https://doi.org/10.1142/9789814449243_0060'
chicago: Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “Microscopic
Derivation of the Ginzburg-Landau Model,” 575–83. World Scientific Publishing,
2012. https://doi.org/10.1142/9789814449243_0060.
ieee: 'R. Frank, C. Hainzl, R. Seiringer, and J. Solovej, “Microscopic derivation
of the Ginzburg-Landau model,” presented at the ICMP: International Congress on
Mathematical Physics, 2012, pp. 575–583.'
ista: 'Frank R, Hainzl C, Seiringer R, Solovej J. 2012. Microscopic derivation of
the Ginzburg-Landau model. ICMP: International Congress on Mathematical Physics,
575–583.'
mla: Frank, Rupert, et al. Microscopic Derivation of the Ginzburg-Landau Model.
World Scientific Publishing, 2012, pp. 575–83, doi:10.1142/9789814449243_0060.
short: R. Frank, C. Hainzl, R. Seiringer, J. Solovej, in:, World Scientific Publishing,
2012, pp. 575–583.
conference:
name: 'ICMP: International Congress on Mathematical Physics'
date_created: 2018-12-11T11:56:57Z
date_published: 2012-08-01T00:00:00Z
date_updated: 2021-01-12T06:56:44Z
day: '01'
doi: 10.1142/9789814449243_0060
extern: 1
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1209.1080
month: '08'
oa: 1
page: 575 - 583
publication_status: published
publisher: World Scientific Publishing
publist_id: '4610'
quality_controlled: 0
status: public
title: Microscopic derivation of the Ginzburg-Landau model
type: conference
year: '2012'
...
---
_id: '2318'
abstract:
- lang: eng
text: 'We show that bosons interacting via pair potentials with negative scattering
length form bound states for a suitable number of particles. In other words, the
absence of many-particle bound states of any kind implies the non-negativity of
the scattering length of the interaction potential. '
acknowledgement: 'Partial financial support by NSERC '
author:
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Seiringer R. Absence of bound states implies non-negativity of the scattering
length. Journal of Spectral Theory. 2012;2(3):321-328. doi:10.4171/JST/31
apa: Seiringer, R. (2012). Absence of bound states implies non-negativity of the
scattering length. Journal of Spectral Theory. European Mathematical Society.
https://doi.org/10.4171/JST/31
chicago: Seiringer, Robert. “Absence of Bound States Implies Non-Negativity of the
Scattering Length.” Journal of Spectral Theory. European Mathematical Society,
2012. https://doi.org/10.4171/JST/31.
ieee: R. Seiringer, “Absence of bound states implies non-negativity of the scattering
length,” Journal of Spectral Theory, vol. 2, no. 3. European Mathematical
Society, pp. 321–328, 2012.
ista: Seiringer R. 2012. Absence of bound states implies non-negativity of the scattering
length. Journal of Spectral Theory. 2(3), 321–328.
mla: Seiringer, Robert. “Absence of Bound States Implies Non-Negativity of the Scattering
Length.” Journal of Spectral Theory, vol. 2, no. 3, European Mathematical
Society, 2012, pp. 321–28, doi:10.4171/JST/31.
short: R. Seiringer, Journal of Spectral Theory 2 (2012) 321–328.
date_created: 2018-12-11T11:56:58Z
date_published: 2012-06-24T00:00:00Z
date_updated: 2021-01-12T06:56:44Z
day: '24'
department:
- _id: RoSe
doi: 10.4171/JST/31
intvolume: ' 2'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1204.0435
month: '06'
oa: 1
oa_version: Preprint
page: 321-328
publication: Journal of Spectral Theory
publication_status: published
publisher: European Mathematical Society
publist_id: '4609'
quality_controlled: '1'
status: public
title: Absence of bound states implies non-negativity of the scattering length
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 2
year: '2012'
...
---
_id: '237'
abstract:
- lang: eng
text: The Manin conjecture is established for Châtelet surfaces over Q aris-ing
as minimal proper smooth models of the surface Y 2 + Z 2 = f(X) in A 3 Q, where
f ∈ Z[X] is a totally reducible polynomial of degree 3 without repeated roots.
These surfaces do not satisfy weak approximation.
acknowledgement: "EP/E053262/1\tEngineering and Physical Sciences Research Council"
author:
- first_name: Régis
full_name: de la Bretèche, Régis
last_name: De La Bretèche
- first_name: Timothy D
full_name: Timothy Browning
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
- first_name: Emmanuel
full_name: Peyre, Emmanuel
last_name: Peyre
citation:
ama: De La Bretèche R, Browning TD, Peyre E. On Manin’s conjecture for a family
of Châtelet surfaces. Annals of Mathematics. 2012;175(1):297-343. doi:10.4007/annals.2012.175.1.8
apa: De La Bretèche, R., Browning, T. D., & Peyre, E. (2012). On Manin’s conjecture
for a family of Châtelet surfaces. Annals of Mathematics. Princeton University
Press. https://doi.org/10.4007/annals.2012.175.1.8
chicago: De La Bretèche, Régis, Timothy D Browning, and Emmanuel Peyre. “On Manin’s
Conjecture for a Family of Châtelet Surfaces.” Annals of Mathematics. Princeton
University Press, 2012. https://doi.org/10.4007/annals.2012.175.1.8.
ieee: R. De La Bretèche, T. D. Browning, and E. Peyre, “On Manin’s conjecture for
a family of Châtelet surfaces,” Annals of Mathematics, vol. 175, no. 1.
Princeton University Press, pp. 297–343, 2012.
ista: De La Bretèche R, Browning TD, Peyre E. 2012. On Manin’s conjecture for a
family of Châtelet surfaces. Annals of Mathematics. 175(1), 297–343.
mla: De La Bretèche, Régis, et al. “On Manin’s Conjecture for a Family of Châtelet
Surfaces.” Annals of Mathematics, vol. 175, no. 1, Princeton University
Press, 2012, pp. 297–343, doi:10.4007/annals.2012.175.1.8.
short: R. De La Bretèche, T.D. Browning, E. Peyre, Annals of Mathematics 175 (2012)
297–343.
date_created: 2018-12-11T11:45:22Z
date_published: 2012-01-01T00:00:00Z
date_updated: 2021-01-12T06:57:04Z
day: '01'
doi: 10.4007/annals.2012.175.1.8
extern: 1
intvolume: ' 175'
issue: '1'
month: '01'
page: 297 - 343
publication: Annals of Mathematics
publication_status: published
publisher: Princeton University Press
publist_id: '7667'
quality_controlled: 0
status: public
title: On Manin's conjecture for a family of Châtelet surfaces
type: journal_article
volume: 175
year: '2012'
...
---
_id: '238'
abstract:
- lang: eng
text: For given positive integers a, b, q we investigate the density of solutions
(x, y) ∈ Z2 to congruences ax + by2 ≡ 0 mod q.
acknowledgement: "EP/E053262/1\tEngineering and Physical Sciences Research Council"
author:
- first_name: Stephan
full_name: Baier, Stephan
last_name: Baier
- first_name: Timothy D
full_name: Timothy Browning
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
citation:
ama: Baier S, Browning TD. Inhomogeneous quadratic congruences. Functiones et
Approximatio, Commentarii Mathematici. 2012;47(2):267-286. doi:10.7169/facm/2012.47.2.9
apa: Baier, S., & Browning, T. D. (2012). Inhomogeneous quadratic congruences.
Functiones et Approximatio, Commentarii Mathematici. Adam Mickiewicz University
Press. https://doi.org/10.7169/facm/2012.47.2.9
chicago: Baier, Stephan, and Timothy D Browning. “Inhomogeneous Quadratic Congruences.”
Functiones et Approximatio, Commentarii Mathematici. Adam Mickiewicz University
Press, 2012. https://doi.org/10.7169/facm/2012.47.2.9.
ieee: S. Baier and T. D. Browning, “Inhomogeneous quadratic congruences,” Functiones
et Approximatio, Commentarii Mathematici, vol. 47, no. 2. Adam Mickiewicz
University Press, pp. 267–286, 2012.
ista: Baier S, Browning TD. 2012. Inhomogeneous quadratic congruences. Functiones
et Approximatio, Commentarii Mathematici. 47(2), 267–286.
mla: Baier, Stephan, and Timothy D. Browning. “Inhomogeneous Quadratic Congruences.”
Functiones et Approximatio, Commentarii Mathematici, vol. 47, no. 2, Adam
Mickiewicz University Press, 2012, pp. 267–86, doi:10.7169/facm/2012.47.2.9.
short: S. Baier, T.D. Browning, Functiones et Approximatio, Commentarii Mathematici
47 (2012) 267–286.
date_created: 2018-12-11T11:45:22Z
date_published: 2012-12-20T00:00:00Z
date_updated: 2021-01-12T06:57:08Z
day: '20'
doi: 10.7169/facm/2012.47.2.9
extern: 1
intvolume: ' 47'
issue: '2'
month: '12'
page: 267 - 286
publication: Functiones et Approximatio, Commentarii Mathematici
publication_status: published
publisher: Adam Mickiewicz University Press
publist_id: '7666'
quality_controlled: 0
status: public
title: Inhomogeneous quadratic congruences
type: journal_article
volume: 47
year: '2012'
...
---
_id: '2394'
abstract:
- lang: eng
text: We study the BCS gap equation for a Fermi gas with unequal population of spin-up
and spin-down states. For cosh (δ μ/T) ≤ 2, with T the temperature and δμ the
chemical potential difference, the question of existence of non-trivial solutions
can be reduced to spectral properties of a linear operator, similar to the unpolarized
case studied previously in [Frank, R. L., Hainzl, C., Naboko, S., and Seiringer,
R., J., Geom. Anal.17, 559-567 (2007)10.1007/BF02937429; Hainzl, C., Hamza, E.,
Seiringer, R., and Solovej, J. P., Commun., Math. Phys.281, 349-367 (2008)10.1007/s00220-008-0489-2;
and Hainzl, C. and Seiringer, R., Phys. Rev. B77, 184517-110 435 (2008)]10.1103/PhysRevB.77.184517.
For cosh (δ μ/T) > 2 the phase diagram is more complicated, however. We derive
upper and lower bounds for the critical temperature, and study their behavior
in the small coupling limit.
author:
- first_name: Abraham
full_name: Freiji, Abraham
last_name: Freiji
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Freiji A, Hainzl C, Seiringer R. The gap equation for spin-polarized fermions.
Journal of Mathematical Physics. 2012;53(1). doi:10.1063/1.3670747
apa: Freiji, A., Hainzl, C., & Seiringer, R. (2012). The gap equation for spin-polarized
fermions. Journal of Mathematical Physics. American Institute of Physics.
https://doi.org/10.1063/1.3670747
chicago: Freiji, Abraham, Christian Hainzl, and Robert Seiringer. “The Gap Equation
for Spin-Polarized Fermions.” Journal of Mathematical Physics. American
Institute of Physics, 2012. https://doi.org/10.1063/1.3670747.
ieee: A. Freiji, C. Hainzl, and R. Seiringer, “The gap equation for spin-polarized
fermions,” Journal of Mathematical Physics, vol. 53, no. 1. American Institute
of Physics, 2012.
ista: Freiji A, Hainzl C, Seiringer R. 2012. The gap equation for spin-polarized
fermions. Journal of Mathematical Physics. 53(1).
mla: Freiji, Abraham, et al. “The Gap Equation for Spin-Polarized Fermions.” Journal
of Mathematical Physics, vol. 53, no. 1, American Institute of Physics, 2012,
doi:10.1063/1.3670747.
short: A. Freiji, C. Hainzl, R. Seiringer, Journal of Mathematical Physics 53 (2012).
date_created: 2018-12-11T11:57:25Z
date_published: 2012-01-01T00:00:00Z
date_updated: 2021-01-12T06:57:13Z
day: '01'
doi: 10.1063/1.3670747
extern: 1
intvolume: ' 53'
issue: '1'
month: '01'
publication: Journal of Mathematical Physics
publication_status: published
publisher: American Institute of Physics
publist_id: '4532'
quality_controlled: 0
status: public
title: The gap equation for spin-polarized fermions
type: journal_article
volume: 53
year: '2012'
...
---
_id: '2395'
abstract:
- lang: eng
text: 'We give the first rigorous derivation of the celebrated Ginzburg-Landau (GL)
theory, starting from the microscopic Bardeen-Cooper-Schrieffer (BCS) model. Close
to the critical temperature, GL arises as an effective theory on the macroscopic
scale. The relevant scaling limit is semiclassical in nature, and semiclassical
analysis, with minimal regularity assumptions, plays an important part in our
proof. '
author:
- first_name: Rupert
full_name: Frank, Rupert L
last_name: Frank
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Jan
full_name: Solovej, Jan P
last_name: Solovej
citation:
ama: Frank R, Hainzl C, Seiringer R, Solovej J. Microscopic derivation of Ginzburg-Landau
theory. Journal of the American Mathematical Society. 2012;25(3):667-713.
doi:10.1090/S0894-0347-2012-00735-8
apa: Frank, R., Hainzl, C., Seiringer, R., & Solovej, J. (2012). Microscopic
derivation of Ginzburg-Landau theory. Journal of the American Mathematical
Society. American Mathematical Society. https://doi.org/10.1090/S0894-0347-2012-00735-8
chicago: Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “Microscopic
Derivation of Ginzburg-Landau Theory.” Journal of the American Mathematical
Society. American Mathematical Society, 2012. https://doi.org/10.1090/S0894-0347-2012-00735-8.
ieee: R. Frank, C. Hainzl, R. Seiringer, and J. Solovej, “Microscopic derivation
of Ginzburg-Landau theory,” Journal of the American Mathematical Society,
vol. 25, no. 3. American Mathematical Society, pp. 667–713, 2012.
ista: Frank R, Hainzl C, Seiringer R, Solovej J. 2012. Microscopic derivation of
Ginzburg-Landau theory. Journal of the American Mathematical Society. 25(3), 667–713.
mla: Frank, Rupert, et al. “Microscopic Derivation of Ginzburg-Landau Theory.” Journal
of the American Mathematical Society, vol. 25, no. 3, American Mathematical
Society, 2012, pp. 667–713, doi:10.1090/S0894-0347-2012-00735-8.
short: R. Frank, C. Hainzl, R. Seiringer, J. Solovej, Journal of the American Mathematical
Society 25 (2012) 667–713.
date_created: 2018-12-11T11:57:25Z
date_published: 2012-01-01T00:00:00Z
date_updated: 2021-01-12T06:57:13Z
day: '01'
doi: 10.1090/S0894-0347-2012-00735-8
extern: 1
intvolume: ' 25'
issue: '3'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1102.4001
month: '01'
oa: 1
page: 667 - 713
publication: Journal of the American Mathematical Society
publication_status: published
publisher: American Mathematical Society
publist_id: '4531'
quality_controlled: 0
status: public
title: Microscopic derivation of Ginzburg-Landau theory
type: journal_article
volume: 25
year: '2012'
...
---
_id: '2396'
abstract:
- lang: eng
text: A positive temperature analogue of the scattering length of a potential V
can be defined via integrating the difference of the heat kernels of -Δ and, with
Δ the Laplacian. An upper bound on this quantity is a crucial input in the derivation
of a bound on the critical temperature of a dilute Bose gas (Seiringer and Ueltschi
in Phys Rev B 80:014502, 2009). In (Seiringer and Ueltschi in Phys Rev B 80:014502,
2009), a bound was given in the case of finite range potentials and sufficiently
low temperature. In this paper, we improve the bound and extend it to potentials
of infinite range.
author:
- first_name: Benjamin
full_name: Landon, Benjamin
last_name: Landon
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Landon B, Seiringer R. The scattering length at positive temperature. Letters
in Mathematical Physics. 2012;100(3):237-243. doi:10.1007/s11005-012-0566-5
apa: Landon, B., & Seiringer, R. (2012). The scattering length at positive temperature.
Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-012-0566-5
chicago: Landon, Benjamin, and Robert Seiringer. “The Scattering Length at Positive
Temperature.” Letters in Mathematical Physics. Springer, 2012. https://doi.org/10.1007/s11005-012-0566-5.
ieee: B. Landon and R. Seiringer, “The scattering length at positive temperature,”
Letters in Mathematical Physics, vol. 100, no. 3. Springer, pp. 237–243,
2012.
ista: Landon B, Seiringer R. 2012. The scattering length at positive temperature.
Letters in Mathematical Physics. 100(3), 237–243.
mla: Landon, Benjamin, and Robert Seiringer. “The Scattering Length at Positive
Temperature.” Letters in Mathematical Physics, vol. 100, no. 3, Springer,
2012, pp. 237–43, doi:10.1007/s11005-012-0566-5.
short: B. Landon, R. Seiringer, Letters in Mathematical Physics 100 (2012) 237–243.
date_created: 2018-12-11T11:57:25Z
date_published: 2012-06-01T00:00:00Z
date_updated: 2021-01-12T06:57:13Z
day: '01'
doi: 10.1007/s11005-012-0566-5
extern: 1
intvolume: ' 100'
issue: '3'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1111.1683
month: '06'
oa: 1
page: 237 - 243
publication: Letters in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4529'
quality_controlled: 0
status: public
title: The scattering length at positive temperature
type: journal_article
volume: 100
year: '2012'
...
---
_id: '2397'
abstract:
- lang: eng
text: We consider the low-density limit of a Fermi gas in the BCS approximation.
We show that if the interaction potential allows for a two-particle bound state,
the system at zero temperature is well approximated by the Gross-Pitaevskii functional,
describing a Bose-Einstein condensate of fermion pairs.
author:
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Hainzl C, Seiringer R. Low density limit of BCS theory and Bose-Einstein condensation
of Fermion pairs. Letters in Mathematical Physics. 2012;100(2):119-138.
doi:10.1007/s11005-011-0535-4
apa: Hainzl, C., & Seiringer, R. (2012). Low density limit of BCS theory and
Bose-Einstein condensation of Fermion pairs. Letters in Mathematical Physics.
Springer. https://doi.org/10.1007/s11005-011-0535-4
chicago: Hainzl, Christian, and Robert Seiringer. “Low Density Limit of BCS Theory
and Bose-Einstein Condensation of Fermion Pairs.” Letters in Mathematical Physics.
Springer, 2012. https://doi.org/10.1007/s11005-011-0535-4.
ieee: C. Hainzl and R. Seiringer, “Low density limit of BCS theory and Bose-Einstein
condensation of Fermion pairs,” Letters in Mathematical Physics, vol. 100,
no. 2. Springer, pp. 119–138, 2012.
ista: Hainzl C, Seiringer R. 2012. Low density limit of BCS theory and Bose-Einstein
condensation of Fermion pairs. Letters in Mathematical Physics. 100(2), 119–138.
mla: Hainzl, Christian, and Robert Seiringer. “Low Density Limit of BCS Theory and
Bose-Einstein Condensation of Fermion Pairs.” Letters in Mathematical Physics,
vol. 100, no. 2, Springer, 2012, pp. 119–38, doi:10.1007/s11005-011-0535-4.
short: C. Hainzl, R. Seiringer, Letters in Mathematical Physics 100 (2012) 119–138.
date_created: 2018-12-11T11:57:25Z
date_published: 2012-05-01T00:00:00Z
date_updated: 2021-01-12T06:57:14Z
day: '01'
doi: 10.1007/s11005-011-0535-4
extern: 1
intvolume: ' 100'
issue: '2'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1105.1100
month: '05'
oa: 1
page: 119 - 138
publication: Letters in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4530'
quality_controlled: 0
status: public
title: Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs
type: journal_article
volume: 100
year: '2012'
...
---
_id: '2398'
abstract:
- lang: eng
text: We extend the mathematical theory of quantum hypothesis testing to the general
W*-algebraic setting and explore its relation with recent developments in non-equilibrium
quantum statistical mechanics. In particular, we relate the large deviation principle
for the full counting statistics of entropy flow to quantum hypothesis testing
of the arrow of time.
author:
- first_name: Vojkan
full_name: Jakšić, Vojkan
last_name: Jakšić
- first_name: Yoshiko
full_name: Ogata, Yoshiko
last_name: Ogata
- first_name: Claude
full_name: Pillet, Claude A
last_name: Pillet
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Jakšić V, Ogata Y, Pillet C, Seiringer R. Quantum hypothesis testing and non-equilibrium
statistical mechanics. Reviews in Mathematical Physics. 2012;24(6). doi:10.1142/S0129055X12300026
apa: Jakšić, V., Ogata, Y., Pillet, C., & Seiringer, R. (2012). Quantum hypothesis
testing and non-equilibrium statistical mechanics. Reviews in Mathematical
Physics. World Scientific Publishing. https://doi.org/10.1142/S0129055X12300026
chicago: Jakšić, Vojkan, Yoshiko Ogata, Claude Pillet, and Robert Seiringer. “Quantum
Hypothesis Testing and Non-Equilibrium Statistical Mechanics.” Reviews in Mathematical
Physics. World Scientific Publishing, 2012. https://doi.org/10.1142/S0129055X12300026.
ieee: V. Jakšić, Y. Ogata, C. Pillet, and R. Seiringer, “Quantum hypothesis testing
and non-equilibrium statistical mechanics,” Reviews in Mathematical Physics,
vol. 24, no. 6. World Scientific Publishing, 2012.
ista: Jakšić V, Ogata Y, Pillet C, Seiringer R. 2012. Quantum hypothesis testing
and non-equilibrium statistical mechanics. Reviews in Mathematical Physics. 24(6).
mla: Jakšić, Vojkan, et al. “Quantum Hypothesis Testing and Non-Equilibrium Statistical
Mechanics.” Reviews in Mathematical Physics, vol. 24, no. 6, World Scientific
Publishing, 2012, doi:10.1142/S0129055X12300026.
short: V. Jakšić, Y. Ogata, C. Pillet, R. Seiringer, Reviews in Mathematical Physics
24 (2012).
date_created: 2018-12-11T11:57:26Z
date_published: 2012-07-01T00:00:00Z
date_updated: 2020-07-14T12:45:40Z
day: '01'
doi: 10.1142/S0129055X12300026
extern: 1
intvolume: ' 24'
issue: '6'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1109.3804
month: '07'
oa: 1
publication: Reviews in Mathematical Physics
publication_status: published
publisher: World Scientific Publishing
publist_id: '4528'
quality_controlled: 0
status: public
title: Quantum hypothesis testing and non-equilibrium statistical mechanics
type: review
volume: 24
year: '2012'
...
---
_id: '2399'
abstract:
- lang: eng
text: |
Bose–Einstein condensation (BEC) in cold atomic gases was first achieved experimentally in 1995 [1, 6]. After initial failed attempts with spin-polarized atomic hydrogen, the first successful demonstrations of this phenomenon used gases of rubidium and sodium atoms, respectively. Since then there has been a surge of activity in this field, with ingenious experiments putting forth more and more astonishing results about the behavior of matter at very cold temperatures.
alternative_title:
- Lecture Notes in Mathematics
author:
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: 'Seiringer R. Cold quantum gases and bose einstein condensation. In: Rivasseau
V, Seiringer R, Solovej J, Spencer T, eds. Quantum Many Body Systems. Vol
2051. Springer; 2012:55-92. doi:10.1007/978-3-642-29511-9_2'
apa: Seiringer, R. (2012). Cold quantum gases and bose einstein condensation. In
V. Rivasseau, R. Seiringer, J. Solovej, & T. Spencer (Eds.), Quantum Many
Body Systems (Vol. 2051, pp. 55–92). Springer. https://doi.org/10.1007/978-3-642-29511-9_2
chicago: Seiringer, Robert. “Cold Quantum Gases and Bose Einstein Condensation.”
In Quantum Many Body Systems, edited by Vincent Rivasseau, Robert Seiringer,
Jan Solovej, and Thomas Spencer, 2051:55–92. Springer, 2012. https://doi.org/10.1007/978-3-642-29511-9_2.
ieee: R. Seiringer, “Cold quantum gases and bose einstein condensation,” in Quantum
Many Body Systems, vol. 2051, V. Rivasseau, R. Seiringer, J. Solovej, and
T. Spencer, Eds. Springer, 2012, pp. 55–92.
ista: 'Seiringer R. 2012.Cold quantum gases and bose einstein condensation. In:
Quantum Many Body Systems. Lecture Notes in Mathematics, vol. 2051, 55–92.'
mla: Seiringer, Robert. “Cold Quantum Gases and Bose Einstein Condensation.” Quantum
Many Body Systems, edited by Vincent Rivasseau et al., vol. 2051, Springer,
2012, pp. 55–92, doi:10.1007/978-3-642-29511-9_2.
short: R. Seiringer, in:, V. Rivasseau, R. Seiringer, J. Solovej, T. Spencer (Eds.),
Quantum Many Body Systems, Springer, 2012, pp. 55–92.
date_created: 2018-12-11T11:57:26Z
date_published: 2012-01-01T00:00:00Z
date_updated: 2021-01-12T06:57:14Z
day: '01'
doi: 10.1007/978-3-642-29511-9_2
editor:
- first_name: Vincent
full_name: Rivasseau, Vincent
last_name: Rivasseau
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Jan
full_name: Solovej, Jan P
last_name: Solovej
- first_name: Thomas
full_name: Spencer, Thomas
last_name: Spencer
extern: 1
intvolume: ' 2051'
month: '01'
page: 55 - 92
publication: Quantum Many Body Systems
publication_status: published
publisher: Springer
publist_id: '4526'
quality_controlled: 0
status: public
title: Cold quantum gases and bose einstein condensation
type: book_chapter
volume: 2051
year: '2012'
...
---
_id: '240'
abstract:
- lang: eng
text: We investigate the frequency of positive squareful numbers x, y, z≤B for which
x+y=z and present a conjecture concerning its asymptotic behavior.
acknowledgement: "EP/E053262/1\tEngineering and Physical Sciences Research Council"
author:
- first_name: Timothy D
full_name: Timothy Browning
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
- first_name: K Van
full_name: Valckenborgh, K Van
last_name: Valckenborgh
citation:
ama: Browning TD, Valckenborgh KV. Sums of three squareful numbers. Experimental
Mathematics. 2012;21(2):204-211. doi:10.1080/10586458.2011.605733
apa: Browning, T. D., & Valckenborgh, K. V. (2012). Sums of three squareful
numbers. Experimental Mathematics. Taylor & Francis. https://doi.org/10.1080/10586458.2011.605733
chicago: Browning, Timothy D, and K Van Valckenborgh. “Sums of Three Squareful Numbers.”
Experimental Mathematics. Taylor & Francis, 2012. https://doi.org/10.1080/10586458.2011.605733.
ieee: T. D. Browning and K. V. Valckenborgh, “Sums of three squareful numbers,”
Experimental Mathematics, vol. 21, no. 2. Taylor & Francis, pp. 204–211,
2012.
ista: Browning TD, Valckenborgh KV. 2012. Sums of three squareful numbers. Experimental
Mathematics. 21(2), 204–211.
mla: Browning, Timothy D., and K. Van Valckenborgh. “Sums of Three Squareful Numbers.”
Experimental Mathematics, vol. 21, no. 2, Taylor & Francis, 2012, pp.
204–11, doi:10.1080/10586458.2011.605733.
short: T.D. Browning, K.V. Valckenborgh, Experimental Mathematics 21 (2012) 204–211.
date_created: 2018-12-11T11:45:23Z
date_published: 2012-05-23T00:00:00Z
date_updated: 2021-01-12T06:57:15Z
day: '23'
doi: 10.1080/10586458.2011.605733
extern: 1
intvolume: ' 21'
issue: '2'
month: '05'
page: 204 - 211
publication: Experimental Mathematics
publication_status: published
publisher: Taylor & Francis
publist_id: '7664'
quality_controlled: 0
status: public
title: Sums of three squareful numbers
type: journal_article
volume: 21
year: '2012'
...
---
_id: '2400'
abstract:
- lang: eng
text: If the polaron coupling constant α is large enough, bipolarons or multi-polarons
will form. When passing through the critical α c from above, does the radius of
the system simply get arbitrarily large or does it reach a maximum and then explode?
We prove that it is always the latter. We also prove the analogous statement for
the Pekar-Tomasevich (PT) approximation to the energy, in which case there is
a solution to the PT equation at α c. Similarly, we show that the same phenomenon
occurs for atoms, e. g., helium, at the critical value of the nuclear charge.
Our proofs rely only on energy estimates, not on a detailed analysis of the Schrödinger
equation, and are very general. They use the fact that the Coulomb repulsion decays
like 1/r, while 'uncertainty principle' localization energies decay more rapidly,
as 1/r 2.
author:
- first_name: Rupert
full_name: Frank, Rupert L
last_name: Frank
- first_name: Élliott
full_name: Lieb, Élliott H
last_name: Lieb
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Frank R, Lieb É, Seiringer R. Binding of polarons and atoms at threshold. Communications
in Mathematical Physics. 2012;313(2):405-424. doi:10.1007/s00220-012-1436-9
apa: Frank, R., Lieb, É., & Seiringer, R. (2012). Binding of polarons and atoms
at threshold. Communications in Mathematical Physics. Springer. https://doi.org/10.1007/s00220-012-1436-9
chicago: Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Binding of Polarons
and Atoms at Threshold.” Communications in Mathematical Physics. Springer,
2012. https://doi.org/10.1007/s00220-012-1436-9.
ieee: R. Frank, É. Lieb, and R. Seiringer, “Binding of polarons and atoms at threshold,”
Communications in Mathematical Physics, vol. 313, no. 2. Springer, pp.
405–424, 2012.
ista: Frank R, Lieb É, Seiringer R. 2012. Binding of polarons and atoms at threshold.
Communications in Mathematical Physics. 313(2), 405–424.
mla: Frank, Rupert, et al. “Binding of Polarons and Atoms at Threshold.” Communications
in Mathematical Physics, vol. 313, no. 2, Springer, 2012, pp. 405–24, doi:10.1007/s00220-012-1436-9.
short: R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 313
(2012) 405–424.
date_created: 2018-12-11T11:57:27Z
date_published: 2012-07-01T00:00:00Z
date_updated: 2021-01-12T06:57:15Z
day: '01'
doi: 10.1007/s00220-012-1436-9
extern: 1
intvolume: ' 313'
issue: '2'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1106.0729
month: '07'
oa: 1
page: 405 - 424
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4527'
quality_controlled: 0
status: public
title: Binding of polarons and atoms at threshold
type: journal_article
volume: 313
year: '2012'
...
---
_id: '2401'
abstract:
- lang: eng
text: We find further implications of the BMV conjecture, which states that for
hermitian matrices B≥0 and A, the function λ {mapping} Tr exp(A - λB) is the Laplace
transform of a positive measure supported on [0,∞].
author:
- first_name: Élliott
full_name: Lieb, Élliott H
last_name: Lieb
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Lieb É, Seiringer R. Further implications of the Bessis-Moussa-Villani conjecture.
Journal of Statistical Physics. 2012;149(1):86-91. doi:10.1007/s10955-012-0585-8
apa: Lieb, É., & Seiringer, R. (2012). Further implications of the Bessis-Moussa-Villani
conjecture. Journal of Statistical Physics. Springer. https://doi.org/10.1007/s10955-012-0585-8
chicago: Lieb, Élliott, and Robert Seiringer. “Further Implications of the Bessis-Moussa-Villani
Conjecture.” Journal of Statistical Physics. Springer, 2012. https://doi.org/10.1007/s10955-012-0585-8.
ieee: É. Lieb and R. Seiringer, “Further implications of the Bessis-Moussa-Villani
conjecture,” Journal of Statistical Physics, vol. 149, no. 1. Springer,
pp. 86–91, 2012.
ista: Lieb É, Seiringer R. 2012. Further implications of the Bessis-Moussa-Villani
conjecture. Journal of Statistical Physics. 149(1), 86–91.
mla: Lieb, Élliott, and Robert Seiringer. “Further Implications of the Bessis-Moussa-Villani
Conjecture.” Journal of Statistical Physics, vol. 149, no. 1, Springer,
2012, pp. 86–91, doi:10.1007/s10955-012-0585-8.
short: É. Lieb, R. Seiringer, Journal of Statistical Physics 149 (2012) 86–91.
date_created: 2018-12-11T11:57:27Z
date_published: 2012-10-01T00:00:00Z
date_updated: 2021-01-12T06:57:16Z
day: '01'
doi: 10.1007/s10955-012-0585-8
extern: 1
intvolume: ' 149'
issue: '1'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1206.0460
month: '10'
oa: 1
page: 86 - 91
publication: Journal of Statistical Physics
publication_status: published
publisher: Springer
publist_id: '4525'
quality_controlled: 0
status: public
title: Further implications of the Bessis-Moussa-Villani conjecture
type: journal_article
volume: 149
year: '2012'
...
---
_id: '2402'
abstract:
- lang: eng
text: We consider a model of quantum-mechanical particles interacting via point
interactions of infinite scattering length. In the case of fermions we prove a
Lieb-Thirring inequality for the energy, i.e., we show that the energy is bounded
from below by a constant times the integral of the particle density to the power.
author:
- first_name: Rupert
full_name: Frank, Rupert L
last_name: Frank
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Frank R, Seiringer R. Lieb-Thirring inequality for a model of particles with
point interactions. Journal of Mathematical Physics. 2012;53(9). doi:10.1063/1.3697416
apa: Frank, R., & Seiringer, R. (2012). Lieb-Thirring inequality for a model
of particles with point interactions. Journal of Mathematical Physics.
American Institute of Physics. https://doi.org/10.1063/1.3697416
chicago: Frank, Rupert, and Robert Seiringer. “Lieb-Thirring Inequality for a Model
of Particles with Point Interactions.” Journal of Mathematical Physics.
American Institute of Physics, 2012. https://doi.org/10.1063/1.3697416.
ieee: R. Frank and R. Seiringer, “Lieb-Thirring inequality for a model of particles
with point interactions,” Journal of Mathematical Physics, vol. 53, no.
9. American Institute of Physics, 2012.
ista: Frank R, Seiringer R. 2012. Lieb-Thirring inequality for a model of particles
with point interactions. Journal of Mathematical Physics. 53(9).
mla: Frank, Rupert, and Robert Seiringer. “Lieb-Thirring Inequality for a Model
of Particles with Point Interactions.” Journal of Mathematical Physics,
vol. 53, no. 9, American Institute of Physics, 2012, doi:10.1063/1.3697416.
short: R. Frank, R. Seiringer, Journal of Mathematical Physics 53 (2012).
date_created: 2018-12-11T11:57:27Z
date_published: 2012-09-28T00:00:00Z
date_updated: 2021-01-12T06:57:16Z
day: '28'
doi: 10.1063/1.3697416
extern: 1
intvolume: ' 53'
issue: '9'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1112.5617
month: '09'
oa: 1
publication: Journal of Mathematical Physics
publication_status: published
publisher: American Institute of Physics
publist_id: '4524'
quality_controlled: 0
status: public
title: Lieb-Thirring inequality for a model of particles with point interactions
type: journal_article
volume: 53
year: '2012'
...
---
_id: '2403'
abstract:
- lang: eng
text: We study the effects of random scatterers on the ground state of the one-dimensional
Lieb-Liniger model of interacting bosons on the unit interval in the Gross-Pitaevskii
regime. We prove that Bose-Einstein condensation survives even a strong random
potential with a high density of scatterers. The character of the wavefunction
of the condensate, however, depends in an essential way on the interplay between
randomness and the strength of the two-body interaction. For low density of scatterers
and strong interactions the wavefunction extends over the whole interval. A high
density of scatterers and weak interactions, on the other hand, lead to localization
of the wavefunction in a fragmented subset of the interval.
author:
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Jakob
full_name: Yngvason, Jakob
last_name: Yngvason
- first_name: Valentin
full_name: Zagrebnov, Valentin A
last_name: Zagrebnov
citation:
ama: Seiringer R, Yngvason J, Zagrebnov V. Disordered Bose-Einstein condensates
with interaction in one dimension. Journal of Statistical Mechanics Theory
and Experiment. 2012;2012(11). doi:10.1088/1742-5468/2012/11/P11007
apa: Seiringer, R., Yngvason, J., & Zagrebnov, V. (2012). Disordered Bose-Einstein
condensates with interaction in one dimension. Journal of Statistical Mechanics
Theory and Experiment. IOP Publishing Ltd. https://doi.org/10.1088/1742-5468/2012/11/P11007
chicago: Seiringer, Robert, Jakob Yngvason, and Valentin Zagrebnov. “Disordered
Bose-Einstein Condensates with Interaction in One Dimension.” Journal of Statistical
Mechanics Theory and Experiment. IOP Publishing Ltd., 2012. https://doi.org/10.1088/1742-5468/2012/11/P11007.
ieee: R. Seiringer, J. Yngvason, and V. Zagrebnov, “Disordered Bose-Einstein condensates
with interaction in one dimension,” Journal of Statistical Mechanics Theory
and Experiment, vol. 2012, no. 11. IOP Publishing Ltd., 2012.
ista: Seiringer R, Yngvason J, Zagrebnov V. 2012. Disordered Bose-Einstein condensates
with interaction in one dimension. Journal of Statistical Mechanics Theory and
Experiment. 2012(11).
mla: Seiringer, Robert, et al. “Disordered Bose-Einstein Condensates with Interaction
in One Dimension.” Journal of Statistical Mechanics Theory and Experiment,
vol. 2012, no. 11, IOP Publishing Ltd., 2012, doi:10.1088/1742-5468/2012/11/P11007.
short: R. Seiringer, J. Yngvason, V. Zagrebnov, Journal of Statistical Mechanics
Theory and Experiment 2012 (2012).
date_created: 2018-12-11T11:57:28Z
date_published: 2012-11-01T00:00:00Z
date_updated: 2021-01-12T06:57:16Z
day: '01'
doi: 10.1088/1742-5468/2012/11/P11007
extern: 1
intvolume: ' 2012'
issue: '11'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/1207.7054
month: '11'
oa: 1
publication: Journal of Statistical Mechanics Theory and Experiment
publication_status: published
publisher: IOP Publishing Ltd.
publist_id: '4523'
quality_controlled: 0
status: public
title: Disordered Bose-Einstein condensates with interaction in one dimension
type: journal_article
volume: 2012
year: '2012'
...