---
_id: '2698'
abstract:
- lang: eng
  text: We consider non-interacting particles subject to a fixed external potential
    V and a self-generated magnetic field B. The total energy includes the field energy
    β∫B2 and we minimize over all particle states and magnetic fields. In the case
    of spin-1/2 particles this minimization leads to the coupled Maxwell-Pauli system.
    The parameter β tunes the coupling strength between the field and the particles
    and it effectively determines the strength of the field. We investigate the stability
    and the semiclassical asymptotics, h→0, of the total ground state energy E(β,h,V).
    The relevant parameter measuring the field strength in the semiclassical limit
    is κ=βh. We are not able to give the exact leading order semiclassical asymptotics
    uniformly in κ or even for fixed κ. We do however give upper and lower bounds
    on E with almost matching dependence on κ. In the simultaneous limit h→0 and κ→∞
    we show that the standard non-magnetic Weyl asymptotics holds. The same result
    also holds for the spinless case, i.e. where the Pauli operator is replaced by
    the Schrödinger operator.
arxiv: 1
author:
- first_name: László
  full_name: Erdös, László
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
- first_name: Søren
  full_name: Fournais, Søren
  last_name: Fournais
- first_name: Jan
  full_name: Solovej, Jan
  last_name: Solovej
citation:
  ama: Erdös L, Fournais S, Solovej J. Stability and semiclassics in self-generated
    fields. <i>Journal of the European Mathematical Society</i>. 2013;15(6):2093-2113.
    doi:<a href="https://doi.org/10.4171/JEMS/416">10.4171/JEMS/416</a>
  apa: Erdös, L., Fournais, S., &#38; Solovej, J. (2013). Stability and semiclassics
    in self-generated fields. <i>Journal of the European Mathematical Society</i>.
    European Mathematical Society. <a href="https://doi.org/10.4171/JEMS/416">https://doi.org/10.4171/JEMS/416</a>
  chicago: Erdös, László, Søren Fournais, and Jan Solovej. “Stability and Semiclassics
    in Self-Generated Fields.” <i>Journal of the European Mathematical Society</i>.
    European Mathematical Society, 2013. <a href="https://doi.org/10.4171/JEMS/416">https://doi.org/10.4171/JEMS/416</a>.
  ieee: L. Erdös, S. Fournais, and J. Solovej, “Stability and semiclassics in self-generated
    fields,” <i>Journal of the European Mathematical Society</i>, vol. 15, no. 6.
    European Mathematical Society, pp. 2093–2113, 2013.
  ista: Erdös L, Fournais S, Solovej J. 2013. Stability and semiclassics in self-generated
    fields. Journal of the European Mathematical Society. 15(6), 2093–2113.
  mla: Erdös, László, et al. “Stability and Semiclassics in Self-Generated Fields.”
    <i>Journal of the European Mathematical Society</i>, vol. 15, no. 6, European
    Mathematical Society, 2013, pp. 2093–113, doi:<a href="https://doi.org/10.4171/JEMS/416">10.4171/JEMS/416</a>.
  short: L. Erdös, S. Fournais, J. Solovej, Journal of the European Mathematical Society
    15 (2013) 2093–2113.
date_created: 2018-12-11T11:59:07Z
date_published: 2013-10-16T00:00:00Z
date_updated: 2021-01-12T06:59:07Z
day: '16'
department:
- _id: LaEr
doi: 10.4171/JEMS/416
external_id:
  arxiv:
  - '1105.0506'
intvolume: '        15'
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1105.0506
month: '10'
oa: 1
oa_version: Preprint
page: 2093 - 2113
publication: Journal of the European Mathematical Society
publication_status: published
publisher: European Mathematical Society
publist_id: '4198'
quality_controlled: '1'
status: public
title: Stability and semiclassics in self-generated fields
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 15
year: '2013'
...
---
_id: '2718'
abstract:
- lang: eng
  text: Even though both population and quantitative genetics, and evolutionary computation,
    deal with the same questions, they have developed largely independently of each
    other. I review key results from each field, emphasising those that apply independently
    of the (usually unknown) relation between genotype and phenotype. The infinitesimal
    model provides a simple framework for predicting the response of complex traits
    to selection, which in biology has proved remarkably successful. This allows one
    to choose the schedule of population sizes and selection intensities that will
    maximise the response to selection, given that the total number of individuals
    realised, C = ∑t Nt, is constrained. This argument shows that for an additive
    trait (i.e., determined by the sum of effects of the genes), the optimum population
    size and the maximum possible response (i.e., the total change in trait mean)
    are both proportional to √C.
author:
- first_name: Nicholas H
  full_name: Barton, Nicholas H
  id: 4880FE40-F248-11E8-B48F-1D18A9856A87
  last_name: Barton
  orcid: 0000-0002-8548-5240
- first_name: Tiago
  full_name: Paixao, Tiago
  id: 2C5658E6-F248-11E8-B48F-1D18A9856A87
  last_name: Paixao
  orcid: 0000-0003-2361-3953
citation:
  ama: 'Barton NH, Paixao T. Can quantitative and population genetics help us understand
    evolutionary computation? In: <i>Proceedings of the 15th Annual Conference on
    Genetic and Evolutionary Computation</i>. ACM; 2013:1573-1580. doi:<a href="https://doi.org/10.1145/2463372.2463568">10.1145/2463372.2463568</a>'
  apa: 'Barton, N. H., &#38; Paixao, T. (2013). Can quantitative and population genetics
    help us understand evolutionary computation? In <i>Proceedings of the 15th annual
    conference on Genetic and evolutionary computation</i> (pp. 1573–1580). Amsterdam,
    Netherlands: ACM. <a href="https://doi.org/10.1145/2463372.2463568">https://doi.org/10.1145/2463372.2463568</a>'
  chicago: Barton, Nicholas H, and Tiago Paixao. “Can Quantitative and Population
    Genetics Help Us Understand Evolutionary Computation?” In <i>Proceedings of the
    15th Annual Conference on Genetic and Evolutionary Computation</i>, 1573–80. ACM,
    2013. <a href="https://doi.org/10.1145/2463372.2463568">https://doi.org/10.1145/2463372.2463568</a>.
  ieee: N. H. Barton and T. Paixao, “Can quantitative and population genetics help
    us understand evolutionary computation?,” in <i>Proceedings of the 15th annual
    conference on Genetic and evolutionary computation</i>, Amsterdam, Netherlands,
    2013, pp. 1573–1580.
  ista: 'Barton NH, Paixao T. 2013. Can quantitative and population genetics help
    us understand evolutionary computation? Proceedings of the 15th annual conference
    on Genetic and evolutionary computation. GECCO: Genetic and evolutionary computation
    conference, 1573–1580.'
  mla: Barton, Nicholas H., and Tiago Paixao. “Can Quantitative and Population Genetics
    Help Us Understand Evolutionary Computation?” <i>Proceedings of the 15th Annual
    Conference on Genetic and Evolutionary Computation</i>, ACM, 2013, pp. 1573–80,
    doi:<a href="https://doi.org/10.1145/2463372.2463568">10.1145/2463372.2463568</a>.
  short: N.H. Barton, T. Paixao, in:, Proceedings of the 15th Annual Conference on
    Genetic and Evolutionary Computation, ACM, 2013, pp. 1573–1580.
conference:
  end_date: 2013-07-10
  location: Amsterdam, Netherlands
  name: 'GECCO: Genetic and evolutionary computation conference'
  start_date: 2013-07-06
date_created: 2018-12-11T11:59:14Z
date_published: 2013-07-01T00:00:00Z
date_updated: 2021-01-12T06:59:15Z
day: '01'
ddc:
- '570'
department:
- _id: NiBa
- _id: CaGu
doi: 10.1145/2463372.2463568
ec_funded: 1
file:
- access_level: open_access
  checksum: 9d9be9090ce5c20766e0eb076ace5b98
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:15:38Z
  date_updated: 2020-07-14T12:45:45Z
  file_id: '5159'
  file_name: IST-2016-564-v1+1_NickGECCO_2013_1_-1.pdf
  file_size: 475844
  relation: main_file
file_date_updated: 2020-07-14T12:45:45Z
has_accepted_license: '1'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Submitted Version
page: 1573 - 1580
project:
- _id: 25B07788-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '250152'
  name: Limits to selection in biology and in evolutionary computation
publication: Proceedings of the 15th annual conference on Genetic and evolutionary
  computation
publication_status: published
publisher: ACM
publist_id: '4174'
pubrep_id: '564'
quality_controlled: '1'
scopus_import: 1
status: public
title: Can quantitative and population genetics help us understand evolutionary computation?
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2013'
...
---
_id: '2719'
abstract:
- lang: eng
  text: Prediction of the evolutionary process is a long standing problem both in
    the theory of evolutionary biology and evolutionary computation (EC). It has long
    been realized that heritable variation is crucial to both the response to selection
    and the success of genetic algorithms. However, not all variation contributes
    in the same way to the response. Quantitative genetics has developed a large body
    of work trying to estimate and understand how different components of the variance
    in fitness in the population contribute to the response to selection. We illustrate
    how to apply some concepts of quantitative genetics to the analysis of genetic
    algorithms. In particular, we derive estimates for the short term prediction of
    the response to selection and we use variance decomposition to gain insight on
    local aspects of the landscape. Finally, we propose a new population based genetic
    algorithm that uses these methods to improve its operation.
author:
- first_name: Tiago
  full_name: Paixao, Tiago
  id: 2C5658E6-F248-11E8-B48F-1D18A9856A87
  last_name: Paixao
  orcid: 0000-0003-2361-3953
- first_name: Nicholas H
  full_name: Barton, Nicholas H
  id: 4880FE40-F248-11E8-B48F-1D18A9856A87
  last_name: Barton
  orcid: 0000-0002-8548-5240
citation:
  ama: 'Paixao T, Barton NH. A variance decomposition approach to the analysis of
    genetic algorithms. In: <i>Proceedings of the 15th Annual Conference on Genetic
    and Evolutionary Computation</i>. ACM; 2013:845-852. doi:<a href="https://doi.org/10.1145/2463372.2463470">10.1145/2463372.2463470</a>'
  apa: 'Paixao, T., &#38; Barton, N. H. (2013). A variance decomposition approach
    to the analysis of genetic algorithms. In <i>Proceedings of the 15th annual conference
    on Genetic and evolutionary computation</i> (pp. 845–852). Amsterdam, Netherlands:
    ACM. <a href="https://doi.org/10.1145/2463372.2463470">https://doi.org/10.1145/2463372.2463470</a>'
  chicago: Paixao, Tiago, and Nicholas H Barton. “A Variance Decomposition Approach
    to the Analysis of Genetic Algorithms.” In <i>Proceedings of the 15th Annual Conference
    on Genetic and Evolutionary Computation</i>, 845–52. ACM, 2013. <a href="https://doi.org/10.1145/2463372.2463470">https://doi.org/10.1145/2463372.2463470</a>.
  ieee: T. Paixao and N. H. Barton, “A variance decomposition approach to the analysis
    of genetic algorithms,” in <i>Proceedings of the 15th annual conference on Genetic
    and evolutionary computation</i>, Amsterdam, Netherlands, 2013, pp. 845–852.
  ista: 'Paixao T, Barton NH. 2013. A variance decomposition approach to the analysis
    of genetic algorithms. Proceedings of the 15th annual conference on Genetic and
    evolutionary computation. GECCO: Genetic and evolutionary computation conference,
    845–852.'
  mla: Paixao, Tiago, and Nicholas H. Barton. “A Variance Decomposition Approach to
    the Analysis of Genetic Algorithms.” <i>Proceedings of the 15th Annual Conference
    on Genetic and Evolutionary Computation</i>, ACM, 2013, pp. 845–52, doi:<a href="https://doi.org/10.1145/2463372.2463470">10.1145/2463372.2463470</a>.
  short: T. Paixao, N.H. Barton, in:, Proceedings of the 15th Annual Conference on
    Genetic and Evolutionary Computation, ACM, 2013, pp. 845–852.
conference:
  end_date: 2013-07-10
  location: Amsterdam, Netherlands
  name: 'GECCO: Genetic and evolutionary computation conference'
  start_date: 2013-07-06
date_created: 2018-12-11T11:59:15Z
date_published: 2013-07-01T00:00:00Z
date_updated: 2021-01-12T06:59:15Z
day: '01'
department:
- _id: NiBa
- _id: CaGu
doi: 10.1145/2463372.2463470
ec_funded: 1
language:
- iso: eng
month: '07'
oa_version: None
page: 845 - 852
project:
- _id: 25B07788-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '250152'
  name: Limits to selection in biology and in evolutionary computation
publication: Proceedings of the 15th annual conference on Genetic and evolutionary
  computation
publication_status: published
publisher: ACM
publist_id: '4173'
quality_controlled: '1'
scopus_import: 1
status: public
title: A variance decomposition approach to the analysis of genetic algorithms
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2013'
...
---
_id: '2720'
abstract:
- lang: eng
  text: 'Knowledge of the rate and fitness effects of mutations is essential for understanding
    the process of evolution. Mutations are inherently difficult to study because
    they are rare and are frequently eliminated by natural selection. In the ciliate
    Tetrahymena thermophila, mutations can accumulate in the germline genome without
    being exposed to selection. We have conducted a mutation accumulation (MA) experiment
    in this species. Assuming that all mutations are deleterious and have the same
    effect, we estimate that the deleterious mutation rate per haploid germline genome
    per generation is U = 0.0047 (95% credible interval: 0.0015, 0.0125), and that
    germline mutations decrease fitness by s = 11% when expressed in a homozygous
    state (95% CI: 4.4%, 27%). We also estimate that deleterious mutations are partially
    recessive on average (h = 0.26; 95% CI: –0.022, 0.62) and that the rate of lethal
    mutations is &lt;10% of the deleterious mutation rate. Comparisons between the
    observed evolutionary responses in the germline and somatic genomes and the results
    from individual-based simulations of MA suggest that the two genomes have similar
    mutational parameters. These are the first estimates of the deleterious mutation
    rate and fitness effects from the eukaryotic supergroup Chromalveolata and are
    within the range of those of other eukaryotes.'
article_processing_charge: No
author:
- first_name: Hongan
  full_name: Long, Hongan
  last_name: Long
- first_name: Tiago
  full_name: Paixao, Tiago
  id: 2C5658E6-F248-11E8-B48F-1D18A9856A87
  last_name: Paixao
  orcid: 0000-0003-2361-3953
- first_name: Ricardo
  full_name: Azevedo, Ricardo
  last_name: Azevedo
- first_name: Rebecca
  full_name: Zufall, Rebecca
  last_name: Zufall
citation:
  ama: Long H, Paixao T, Azevedo R, Zufall R. Accumulation of spontaneous mutations
    in the ciliate Tetrahymena thermophila. <i>Genetics</i>. 2013;195(2):527-540.
    doi:<a href="https://doi.org/10.1534/genetics.113.153536">10.1534/genetics.113.153536</a>
  apa: Long, H., Paixao, T., Azevedo, R., &#38; Zufall, R. (2013). Accumulation of
    spontaneous mutations in the ciliate Tetrahymena thermophila. <i>Genetics</i>.
    Genetics Society of America. <a href="https://doi.org/10.1534/genetics.113.153536">https://doi.org/10.1534/genetics.113.153536</a>
  chicago: Long, Hongan, Tiago Paixao, Ricardo Azevedo, and Rebecca Zufall. “Accumulation
    of Spontaneous Mutations in the Ciliate Tetrahymena Thermophila.” <i>Genetics</i>.
    Genetics Society of America, 2013. <a href="https://doi.org/10.1534/genetics.113.153536">https://doi.org/10.1534/genetics.113.153536</a>.
  ieee: H. Long, T. Paixao, R. Azevedo, and R. Zufall, “Accumulation of spontaneous
    mutations in the ciliate Tetrahymena thermophila,” <i>Genetics</i>, vol. 195,
    no. 2. Genetics Society of America, pp. 527–540, 2013.
  ista: Long H, Paixao T, Azevedo R, Zufall R. 2013. Accumulation of spontaneous mutations
    in the ciliate Tetrahymena thermophila. Genetics. 195(2), 527–540.
  mla: Long, Hongan, et al. “Accumulation of Spontaneous Mutations in the Ciliate
    Tetrahymena Thermophila.” <i>Genetics</i>, vol. 195, no. 2, Genetics Society of
    America, 2013, pp. 527–40, doi:<a href="https://doi.org/10.1534/genetics.113.153536">10.1534/genetics.113.153536</a>.
  short: H. Long, T. Paixao, R. Azevedo, R. Zufall, Genetics 195 (2013) 527–540.
date_created: 2018-12-11T11:59:15Z
date_published: 2013-10-01T00:00:00Z
date_updated: 2021-01-12T06:59:16Z
day: '01'
department:
- _id: NiBa
- _id: CaGu
doi: 10.1534/genetics.113.153536
ec_funded: 1
external_id:
  pmid:
  - '23934880'
intvolume: '       195'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3781978/
month: '10'
oa: 1
oa_version: Submitted Version
page: 527-540
pmid: 1
project:
- _id: 25B07788-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '250152'
  name: Limits to selection in biology and in evolutionary computation
publication: Genetics
publication_status: published
publisher: Genetics Society of America
publist_id: '4172'
quality_controlled: '1'
scopus_import: 1
status: public
title: Accumulation of spontaneous mutations in the ciliate Tetrahymena thermophila
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 195
year: '2013'
...
---
_id: '2780'
abstract:
- lang: eng
  text: We consider a general class of random matrices whose entries are centred random
    variables, independent up to a symmetry constraint. We establish precise high-probability
    bounds on the averages of arbitrary monomials in the resolvent matrix entries.
    Our results generalize the previous results of Erdős et al. (Ann Probab, arXiv:1103.1919,
    2013; Commun Math Phys, arXiv:1103.3869, 2013; J Combin 1(2):15-85, 2011) which
    constituted a key step in the proof of the local semicircle law with optimal error
    bound in mean-field random matrix models. Our bounds apply to random band matrices
    and improve previous estimates from order 2 to order 4 in the cases relevant to
    applications. In particular, they lead to a proof of the diffusion approximation
    for the magnitude of the resolvent of random band matrices. This, in turn, implies
    new delocalization bounds on the eigenvectors. The applications are presented
    in a separate paper (Erdős et al., arXiv:1205.5669, 2013).
author:
- first_name: László
  full_name: László Erdös
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
- first_name: Antti
  full_name: Knowles, Antti
  last_name: Knowles
- first_name: Horng
  full_name: Yau, Horng-Tzer
  last_name: Yau
citation:
  ama: Erdös L, Knowles A, Yau H. Averaging fluctuations in resolvents of random band
    matrices. <i>Annales Henri Poincare</i>. 2013;14(8):1837-1926. doi:<a href="https://doi.org/10.1007/s00023-013-0235-y">10.1007/s00023-013-0235-y</a>
  apa: Erdös, L., Knowles, A., &#38; Yau, H. (2013). Averaging fluctuations in resolvents
    of random band matrices. <i>Annales Henri Poincare</i>. Birkhäuser. <a href="https://doi.org/10.1007/s00023-013-0235-y">https://doi.org/10.1007/s00023-013-0235-y</a>
  chicago: Erdös, László, Antti Knowles, and Horng Yau. “Averaging Fluctuations in
    Resolvents of Random Band Matrices.” <i>Annales Henri Poincare</i>. Birkhäuser,
    2013. <a href="https://doi.org/10.1007/s00023-013-0235-y">https://doi.org/10.1007/s00023-013-0235-y</a>.
  ieee: L. Erdös, A. Knowles, and H. Yau, “Averaging fluctuations in resolvents of
    random band matrices,” <i>Annales Henri Poincare</i>, vol. 14, no. 8. Birkhäuser,
    pp. 1837–1926, 2013.
  ista: Erdös L, Knowles A, Yau H. 2013. Averaging fluctuations in resolvents of random
    band matrices. Annales Henri Poincare. 14(8), 1837–1926.
  mla: Erdös, László, et al. “Averaging Fluctuations in Resolvents of Random Band
    Matrices.” <i>Annales Henri Poincare</i>, vol. 14, no. 8, Birkhäuser, 2013, pp.
    1837–926, doi:<a href="https://doi.org/10.1007/s00023-013-0235-y">10.1007/s00023-013-0235-y</a>.
  short: L. Erdös, A. Knowles, H. Yau, Annales Henri Poincare 14 (2013) 1837–1926.
date_created: 2018-12-11T11:59:33Z
date_published: 2013-12-01T00:00:00Z
date_updated: 2021-01-12T06:59:40Z
day: '01'
doi: 10.1007/s00023-013-0235-y
extern: 1
intvolume: '        14'
issue: '8'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1205.5664
month: '12'
oa: 1
page: 1837 - 1926
publication: Annales Henri Poincare
publication_status: published
publisher: Birkhäuser
publist_id: '4110'
quality_controlled: 0
status: public
title: Averaging fluctuations in resolvents of random band matrices
type: journal_article
volume: 14
year: '2013'
...
---
_id: '2781'
abstract:
- lang: eng
  text: 'We consider the ensemble of adjacency matrices of Erdős-Rényi random graphs,
    that is, graphs on N vertices where every edge is chosen independently and with
    probability p = p(N). We rescale the matrix so that its bulk eigenvalues are of
    order one. We prove that, as long as pN→∞(with a speed at least logarithmic in
    N), the density of eigenvalues of the Erdős-Rényi ensemble is given by the Wigner
    semicircle law for spectral windows of length larger than N-1 (up to logarithmic
    corrections). As a consequence, all eigenvectors are proved to be completely delocalized
    in the sense that the ℓ∞-norms of the ℓ2-normalized eigenvectors are at most of
    order N-1/2 with a very high probability. The estimates in this paper will be
    used in the companion paper [Spectral statistics of Erdős-Rényi graphs II: Eigenvalue
    spacing and the extreme eigenvalues (2011) Preprint] to prove the universality
    of eigenvalue distributions both in the bulk and at the spectral edges under the
    further restriction that pN »N2/3.'
author:
- first_name: László
  full_name: László Erdös
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
- first_name: Antti
  full_name: Knowles, Antti
  last_name: Knowles
- first_name: Horng
  full_name: Yau, Horng-Tzer
  last_name: Yau
- first_name: Jun
  full_name: Yin, Jun
  last_name: Yin
citation:
  ama: 'Erdös L, Knowles A, Yau H, Yin J. Spectral statistics of Erdős-Rényi graphs
    I: Local semicircle law. <i>Annals of Probability</i>. 2013;41(3 B):2279-2375.
    doi:<a href="https://doi.org/10.1214/11-AOP734">10.1214/11-AOP734</a>'
  apa: 'Erdös, L., Knowles, A., Yau, H., &#38; Yin, J. (2013). Spectral statistics
    of Erdős-Rényi graphs I: Local semicircle law. <i>Annals of Probability</i>. Institute
    of Mathematical Statistics. <a href="https://doi.org/10.1214/11-AOP734">https://doi.org/10.1214/11-AOP734</a>'
  chicago: 'Erdös, László, Antti Knowles, Horng Yau, and Jun Yin. “Spectral Statistics
    of Erdős-Rényi Graphs I: Local Semicircle Law.” <i>Annals of Probability</i>.
    Institute of Mathematical Statistics, 2013. <a href="https://doi.org/10.1214/11-AOP734">https://doi.org/10.1214/11-AOP734</a>.'
  ieee: 'L. Erdös, A. Knowles, H. Yau, and J. Yin, “Spectral statistics of Erdős-Rényi
    graphs I: Local semicircle law,” <i>Annals of Probability</i>, vol. 41, no. 3
    B. Institute of Mathematical Statistics, pp. 2279–2375, 2013.'
  ista: 'Erdös L, Knowles A, Yau H, Yin J. 2013. Spectral statistics of Erdős-Rényi
    graphs I: Local semicircle law. Annals of Probability. 41(3 B), 2279–2375.'
  mla: 'Erdös, László, et al. “Spectral Statistics of Erdős-Rényi Graphs I: Local
    Semicircle Law.” <i>Annals of Probability</i>, vol. 41, no. 3 B, Institute of
    Mathematical Statistics, 2013, pp. 2279–375, doi:<a href="https://doi.org/10.1214/11-AOP734">10.1214/11-AOP734</a>.'
  short: L. Erdös, A. Knowles, H. Yau, J. Yin, Annals of Probability 41 (2013) 2279–2375.
date_created: 2018-12-11T11:59:34Z
date_published: 2013-05-01T00:00:00Z
date_updated: 2021-01-12T06:59:41Z
day: '01'
doi: 10.1214/11-AOP734
extern: 1
intvolume: '        41'
issue: 3 B
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1103.1919
month: '05'
oa: 1
page: 2279 - 2375
publication: Annals of Probability
publication_status: published
publisher: Institute of Mathematical Statistics
publist_id: '4109'
quality_controlled: 0
status: public
title: 'Spectral statistics of Erdős-Rényi graphs I: Local semicircle law'
type: journal_article
volume: 41
year: '2013'
...
---
_id: '2782'
abstract:
- lang: eng
  text: We consider random n×n matrices of the form (XX*+YY*)^{-1/2}YY*(XX*+YY*)^{-1/2},
    where X and Y have independent entries with zero mean and variance one. These
    matrices are the natural generalization of the Gaussian case, which are known
    as MANOVA matrices and which have joint eigenvalue density given by the third
    classical ensemble, the Jacobi ensemble. We show that, away from the spectral
    edge, the eigenvalue density converges to the limiting density of the Jacobi ensemble
    even on the shortest possible scales of order 1/n (up to log n factors). This
    result is the analogue of the local Wigner semicircle law and the local Marchenko-Pastur
    law for general MANOVA matrices.
arxiv: 1
author:
- first_name: László
  full_name: Erdös, László
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
- first_name: Brendan
  full_name: Farrell, Brendan
  last_name: Farrell
citation:
  ama: Erdös L, Farrell B. Local eigenvalue density for general MANOVA matrices. <i>Journal
    of Statistical Physics</i>. 2013;152(6):1003-1032. doi:<a href="https://doi.org/10.1007/s10955-013-0807-8">10.1007/s10955-013-0807-8</a>
  apa: Erdös, L., &#38; Farrell, B. (2013). Local eigenvalue density for general MANOVA
    matrices. <i>Journal of Statistical Physics</i>. Springer. <a href="https://doi.org/10.1007/s10955-013-0807-8">https://doi.org/10.1007/s10955-013-0807-8</a>
  chicago: Erdös, László, and Brendan Farrell. “Local Eigenvalue Density for General
    MANOVA Matrices.” <i>Journal of Statistical Physics</i>. Springer, 2013. <a href="https://doi.org/10.1007/s10955-013-0807-8">https://doi.org/10.1007/s10955-013-0807-8</a>.
  ieee: L. Erdös and B. Farrell, “Local eigenvalue density for general MANOVA matrices,”
    <i>Journal of Statistical Physics</i>, vol. 152, no. 6. Springer, pp. 1003–1032,
    2013.
  ista: Erdös L, Farrell B. 2013. Local eigenvalue density for general MANOVA matrices.
    Journal of Statistical Physics. 152(6), 1003–1032.
  mla: Erdös, László, and Brendan Farrell. “Local Eigenvalue Density for General MANOVA
    Matrices.” <i>Journal of Statistical Physics</i>, vol. 152, no. 6, Springer, 2013,
    pp. 1003–32, doi:<a href="https://doi.org/10.1007/s10955-013-0807-8">10.1007/s10955-013-0807-8</a>.
  short: L. Erdös, B. Farrell, Journal of Statistical Physics 152 (2013) 1003–1032.
date_created: 2018-12-11T11:59:34Z
date_published: 2013-07-18T00:00:00Z
date_updated: 2021-01-12T06:59:41Z
day: '18'
department:
- _id: LaEr
doi: 10.1007/s10955-013-0807-8
external_id:
  arxiv:
  - '1207.0031'
intvolume: '       152'
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1207.0031
month: '07'
oa: 1
oa_version: Preprint
page: 1003 - 1032
publication: Journal of Statistical Physics
publication_status: published
publisher: Springer
publist_id: '4107'
quality_controlled: '1'
scopus_import: 1
status: public
title: Local eigenvalue density for general MANOVA matrices
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 152
year: '2013'
...
---
_id: '2805'
abstract:
- lang: eng
  text: Transition in shear flows is characterized by localized turbulent regions
    embedded in the surrounding laminar flow. These so-called turbulent spots or puffs
    are observed in a variety of shear flows and in certain Reynolds-number regimes,
    and they are advected by the flow while keeping their characteristic length. We
    show here for the case of pipe flow that this seemingly passive advection of turbulent
    puffs involves continuous entrainment and relaminarization of laminar and turbulent
    fluid across strongly convoluted interfaces. Surprisingly, interface areas are
    almost two orders of magnitude larger than the pipe cross-section, while local
    entrainment velocities are much smaller than the mean speed. Even though these
    velocities were shown to be small and proportional to the Kolmogorov velocity
    scale (in agreement with a prediction by Corrsin) in a flow without mean shear
    before, we find that, in pipe flow, local entrainment velocities are about an
    order of magnitude smaller than this scale. The Lagrangian method used to study
    the dynamics of the laminar-turbulent interfaces allows accurate determination
    of the leading and trailing edge speeds. However, to resolve the highly complex
    interface dynamics requires much higher numerical resolutions than for ordinary
    turbulent flows. This method also reveals that the volume flux across the leading
    edge has the same radial dependence but the opposite sign as that across the trailing
    edge, and it is this symmetry that is responsible for the puff shape remaining
    constant.
author:
- first_name: Markus
  full_name: Holzner, Markus
  last_name: Holzner
- first_name: Baofang
  full_name: Song, Baofang
  last_name: Song
- first_name: Marc
  full_name: Avila, Marc
  last_name: Avila
- first_name: Björn
  full_name: Björn Hof
  id: 3A374330-F248-11E8-B48F-1D18A9856A87
  last_name: Hof
  orcid: 0000-0003-2057-2754
citation:
  ama: Holzner M, Song B, Avila M, Hof B. Lagrangian approach to laminar-turbulent
    interfaces in transitional pipe flow. <i>Journal of Fluid Mechanics</i>. 2013;723:140-162.
    doi:<a href="https://doi.org/10.1017/jfm.2013.127">10.1017/jfm.2013.127</a>
  apa: Holzner, M., Song, B., Avila, M., &#38; Hof, B. (2013). Lagrangian approach
    to laminar-turbulent interfaces in transitional pipe flow. <i>Journal of Fluid
    Mechanics</i>. Cambridge University Press. <a href="https://doi.org/10.1017/jfm.2013.127">https://doi.org/10.1017/jfm.2013.127</a>
  chicago: Holzner, Markus, Baofang Song, Marc Avila, and Björn Hof. “Lagrangian Approach
    to Laminar-Turbulent Interfaces in Transitional Pipe Flow.” <i>Journal of Fluid
    Mechanics</i>. Cambridge University Press, 2013. <a href="https://doi.org/10.1017/jfm.2013.127">https://doi.org/10.1017/jfm.2013.127</a>.
  ieee: M. Holzner, B. Song, M. Avila, and B. Hof, “Lagrangian approach to laminar-turbulent
    interfaces in transitional pipe flow,” <i>Journal of Fluid Mechanics</i>, vol.
    723. Cambridge University Press, pp. 140–162, 2013.
  ista: Holzner M, Song B, Avila M, Hof B. 2013. Lagrangian approach to laminar-turbulent
    interfaces in transitional pipe flow. Journal of Fluid Mechanics. 723, 140–162.
  mla: Holzner, Markus, et al. “Lagrangian Approach to Laminar-Turbulent Interfaces
    in Transitional Pipe Flow.” <i>Journal of Fluid Mechanics</i>, vol. 723, Cambridge
    University Press, 2013, pp. 140–62, doi:<a href="https://doi.org/10.1017/jfm.2013.127">10.1017/jfm.2013.127</a>.
  short: M. Holzner, B. Song, M. Avila, B. Hof, Journal of Fluid Mechanics 723 (2013)
    140–162.
date_created: 2018-12-11T11:59:41Z
date_published: 2013-05-01T00:00:00Z
date_updated: 2021-01-12T06:59:50Z
day: '01'
doi: 10.1017/jfm.2013.127
extern: 1
intvolume: '       723'
month: '05'
page: 140 - 162
publication: Journal of Fluid Mechanics
publication_status: published
publisher: Cambridge University Press
publist_id: '4084'
quality_controlled: 0
status: public
title: Lagrangian approach to laminar-turbulent interfaces in transitional pipe flow
type: journal_article
volume: 723
year: '2013'
...
---
_id: '2806'
abstract:
- lang: eng
  text: A novel Taylor-Couette system has been constructed for investigations of transitional
    as well as high Reynolds number turbulent flows in very large aspect ratios. The
    flexibility of the setup enables studies of a variety of problems regarding hydrodynamic
    instabilities and turbulence in rotating flows. The inner and outer cylinders
    and the top and bottom endplates can be rotated independently with rotation rates
    of up to 30 Hz, thereby covering five orders of magnitude in Reynolds numbers
    (Re = 101-106). The radius ratio can be easily changed, the highest realized one
    is η = 0.98 corresponding to an aspect ratio of 260 gap width in the vertical
    and 300 in the azimuthal direction. For η &lt; 0.98 the aspect ratio can be dynamically
    changed during measurements and complete transparency in the radial direction
    over the full length of the cylinders is provided by the usage of a precision
    glass inner cylinder. The temperatures of both cylinders are controlled independently.
    Overall this apparatus combines an unmatched variety in geometry, rotation rates,
    and temperatures, which is provided by a sophisticated high-precision bearing
    system. Possible applications are accurate studies of the onset of turbulence
    and spatio-temporal intermittent flow patterns in very large domains, transport
    processes of turbulence at high Re, the stability of Keplerian flows for different
    boundary conditions, and studies of baroclinic instabilities.
article_number: '065106'
author:
- first_name: Kerstin
  full_name: Avila, Kerstin
  last_name: Avila
- first_name: Björn
  full_name: Hof, Björn
  id: 3A374330-F248-11E8-B48F-1D18A9856A87
  last_name: Hof
  orcid: 0000-0003-2057-2754
citation:
  ama: Avila K, Hof B. High-precision Taylor-Couette experiment to study subcritical
    transitions and the role of boundary conditions and size effects. <i>Review of
    Scientific Instruments</i>. 2013;84(6). doi:<a href="https://doi.org/10.1063/1.4807704">10.1063/1.4807704</a>
  apa: Avila, K., &#38; Hof, B. (2013). High-precision Taylor-Couette experiment to
    study subcritical transitions and the role of boundary conditions and size effects.
    <i>Review of Scientific Instruments</i>. American Institute of Physics. <a href="https://doi.org/10.1063/1.4807704">https://doi.org/10.1063/1.4807704</a>
  chicago: Avila, Kerstin, and Björn Hof. “High-Precision Taylor-Couette Experiment
    to Study Subcritical Transitions and the Role of Boundary Conditions and Size
    Effects.” <i>Review of Scientific Instruments</i>. American Institute of Physics,
    2013. <a href="https://doi.org/10.1063/1.4807704">https://doi.org/10.1063/1.4807704</a>.
  ieee: K. Avila and B. Hof, “High-precision Taylor-Couette experiment to study subcritical
    transitions and the role of boundary conditions and size effects,” <i>Review of
    Scientific Instruments</i>, vol. 84, no. 6. American Institute of Physics, 2013.
  ista: Avila K, Hof B. 2013. High-precision Taylor-Couette experiment to study subcritical
    transitions and the role of boundary conditions and size effects. Review of Scientific
    Instruments. 84(6), 065106.
  mla: Avila, Kerstin, and Björn Hof. “High-Precision Taylor-Couette Experiment to
    Study Subcritical Transitions and the Role of Boundary Conditions and Size Effects.”
    <i>Review of Scientific Instruments</i>, vol. 84, no. 6, 065106, American Institute
    of Physics, 2013, doi:<a href="https://doi.org/10.1063/1.4807704">10.1063/1.4807704</a>.
  short: K. Avila, B. Hof, Review of Scientific Instruments 84 (2013).
date_created: 2018-12-11T11:59:42Z
date_published: 2013-06-06T00:00:00Z
date_updated: 2021-01-12T06:59:50Z
day: '06'
department:
- _id: BjHo
doi: 10.1063/1.4807704
intvolume: '        84'
issue: '6'
language:
- iso: eng
month: '06'
oa_version: None
publication: Review of Scientific Instruments
publication_status: published
publisher: American Institute of Physics
publist_id: '4081'
quality_controlled: '1'
scopus_import: 1
status: public
title: High-precision Taylor-Couette experiment to study subcritical transitions and
  the role of boundary conditions and size effects
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 84
year: '2013'
...
---
_id: '2807'
abstract:
- lang: eng
  text: 'We consider several basic problems of algebraic topology, with connections
    to combinatorial and geometric questions, from the point of view of computational
    complexity. The extension problem asks, given topological spaces X; Y , a subspace
    A ⊆ X, and a (continuous) map f : A → Y , whether f can be extended to a map X
    → Y . For computational purposes, we assume that X and Y are represented as finite
    simplicial complexes, A is a subcomplex of X, and f is given as a simplicial map.
    In this generality the problem is undecidable, as follows from Novikov''s result
    from the 1950s on uncomputability of the fundamental group π1(Y ). We thus study
    the problem under the assumption that, for some k ≥ 2, Y is (k - 1)-connected;
    informally, this means that Y has \no holes up to dimension k-1&quot; (a basic
    example of such a Y is the sphere Sk). We prove that, on the one hand, this problem
    is still undecidable for dimX = 2k. On the other hand, for every fixed k ≥ 2,
    we obtain an algorithm that solves the extension problem in polynomial time assuming
    Y (k - 1)-connected and dimX ≤ 2k - 1. For dimX ≤ 2k - 2, the algorithm also provides
    a classification of all extensions up to homotopy (continuous deformation). This
    relies on results of our SODA 2012 paper, and the main new ingredient is a machinery
    of objects with polynomial-time homology, which is a polynomial-time analog of
    objects with effective homology developed earlier by Sergeraert et al. We also
    consider the computation of the higher homotopy groups πk(Y ), k ≥ 2, for a 1-connected
    Y . Their computability was established by Brown in 1957; we show that πk(Y )
    can be computed in polynomial time for every fixed k ≥ 2. On the other hand, Anick
    proved in 1989 that computing πk(Y ) is #P-hard if k is a part of input, where
    Y is a cell complex with certain rather compact encoding. We strengthen his result
    to #P-hardness for Y given as a simplicial complex. '
author:
- first_name: Martin
  full_name: Čadek, Martin
  last_name: Čadek
- first_name: Marek
  full_name: Krcál, Marek
  id: 33E21118-F248-11E8-B48F-1D18A9856A87
  last_name: Krcál
- first_name: Jiří
  full_name: Matoušek, Jiří
  last_name: Matoušek
- first_name: Lukáš
  full_name: Vokřínek, Lukáš
  last_name: Vokřínek
- first_name: Uli
  full_name: Wagner, Uli
  id: 36690CA2-F248-11E8-B48F-1D18A9856A87
  last_name: Wagner
  orcid: 0000-0002-1494-0568
citation:
  ama: 'Čadek M, Krcál M, Matoušek J, Vokřínek L, Wagner U. Extending continuous maps:
    Polynomiality and undecidability. In: <i>45th Annual ACM Symposium on Theory of
    Computing</i>. ACM; 2013:595-604. doi:<a href="https://doi.org/10.1145/2488608.2488683">10.1145/2488608.2488683</a>'
  apa: 'Čadek, M., Krcál, M., Matoušek, J., Vokřínek, L., &#38; Wagner, U. (2013).
    Extending continuous maps: Polynomiality and undecidability. In <i>45th Annual
    ACM Symposium on theory of computing</i> (pp. 595–604). Palo Alto, CA, United
    States: ACM. <a href="https://doi.org/10.1145/2488608.2488683">https://doi.org/10.1145/2488608.2488683</a>'
  chicago: 'Čadek, Martin, Marek Krcál, Jiří Matoušek, Lukáš Vokřínek, and Uli Wagner.
    “Extending Continuous Maps: Polynomiality and Undecidability.” In <i>45th Annual
    ACM Symposium on Theory of Computing</i>, 595–604. ACM, 2013. <a href="https://doi.org/10.1145/2488608.2488683">https://doi.org/10.1145/2488608.2488683</a>.'
  ieee: 'M. Čadek, M. Krcál, J. Matoušek, L. Vokřínek, and U. Wagner, “Extending continuous
    maps: Polynomiality and undecidability,” in <i>45th Annual ACM Symposium on theory
    of computing</i>, Palo Alto, CA, United States, 2013, pp. 595–604.'
  ista: 'Čadek M, Krcál M, Matoušek J, Vokřínek L, Wagner U. 2013. Extending continuous
    maps: Polynomiality and undecidability. 45th Annual ACM Symposium on theory of
    computing. STOC: Symposium on the Theory of Computing, 595–604.'
  mla: 'Čadek, Martin, et al. “Extending Continuous Maps: Polynomiality and Undecidability.”
    <i>45th Annual ACM Symposium on Theory of Computing</i>, ACM, 2013, pp. 595–604,
    doi:<a href="https://doi.org/10.1145/2488608.2488683">10.1145/2488608.2488683</a>.'
  short: M. Čadek, M. Krcál, J. Matoušek, L. Vokřínek, U. Wagner, in:, 45th Annual
    ACM Symposium on Theory of Computing, ACM, 2013, pp. 595–604.
conference:
  end_date: 2013-06-04
  location: Palo Alto, CA, United States
  name: 'STOC: Symposium on the Theory of Computing'
  start_date: 2013-06-01
date_created: 2018-12-11T11:59:42Z
date_published: 2013-06-01T00:00:00Z
date_updated: 2021-01-12T06:59:51Z
day: '01'
ddc:
- '510'
department:
- _id: UlWa
- _id: HeEd
doi: 10.1145/2488608.2488683
file:
- access_level: open_access
  checksum: 06c2ce5c1135fbc1f71ca15eeb242dcf
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:14:29Z
  date_updated: 2020-07-14T12:45:48Z
  file_id: '5081'
  file_name: IST-2016-533-v1+1_Extending_continuous_maps_polynomiality_and_undecidability.pdf
  file_size: 447945
  relation: main_file
file_date_updated: 2020-07-14T12:45:48Z
has_accepted_license: '1'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Submitted Version
page: 595 - 604
publication: 45th Annual ACM Symposium on theory of computing
publication_status: published
publisher: ACM
publist_id: '4078'
pubrep_id: '533'
quality_controlled: '1'
scopus_import: 1
status: public
title: 'Extending continuous maps: Polynomiality and undecidability'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2013'
...
---
_id: '2808'
abstract:
- lang: eng
  text: In order to establish a reference for analysis of the function of auxin and
    the auxin biosynthesis regulators SHORT INTERNODE/ STYLISH (SHI/STY) during Physcomitrella
    patens reproductive development, we have described male (antheridial) and female
    (archegonial) development in detail, including temporal and positional information
    of organ initiation. This has allowed us to define discrete stages of organ morphogenesis
    and to show that reproductive organ development in P. patens is highly organized
    and that organ phyllotaxis differs between vegetative and reproductive development.
    Using the PpSHI1 and PpSHI2 reporter and knockout lines, the auxin reporters GmGH3pro:GUS
    and PpPINApro:GFP-GUS, and the auxin-conjugating transgene PpSHI2pro:IAAL, we
    could show that the PpSHI genes, and by inference also auxin, play important roles
    for reproductive organ development in moss. The PpSHI genes are required for the
    apical opening of the reproductive organs, the final differentiation of the egg
    cell, and the progression of canal cells into a cell death program. The apical
    cells of the archegonium, the canal cells, and the egg cell are also sites of
    auxin responsiveness and are affected by reduced levels of active auxin, suggesting
    that auxin mediates PpSHI function in the reproductive organs.
author:
- first_name: Katarina
  full_name: Landberg, Katarina
  last_name: Landberg
- first_name: Eric
  full_name: Pederson, Eric
  last_name: Pederson
- first_name: Tom
  full_name: Viaene, Tom
  last_name: Viaene
- first_name: Behruz
  full_name: Bozorg, Behruz
  last_name: Bozorg
- first_name: Jirí
  full_name: Friml, Jirí
  id: 4159519E-F248-11E8-B48F-1D18A9856A87
  last_name: Friml
  orcid: 0000-0002-8302-7596
- first_name: Henrik
  full_name: Jönsson, Henrik
  last_name: Jönsson
- first_name: Mattias
  full_name: Thelander, Mattias
  last_name: Thelander
- first_name: Eva
  full_name: Sundberg, Eva
  last_name: Sundberg
citation:
  ama: Landberg K, Pederson E, Viaene T, et al. The moss physcomitrella patens reproductive
    organ development is highly organized, affected by the two SHI/STY genes and by
    the level of active auxin in the SHI/STY expression domain. <i>Plant Physiology</i>.
    2013;162(3):1406-1419. doi:<a href="https://doi.org/10.1104/pp.113.214023">10.1104/pp.113.214023</a>
  apa: Landberg, K., Pederson, E., Viaene, T., Bozorg, B., Friml, J., Jönsson, H.,
    … Sundberg, E. (2013). The moss physcomitrella patens reproductive organ development
    is highly organized, affected by the two SHI/STY genes and by the level of active
    auxin in the SHI/STY expression domain. <i>Plant Physiology</i>. American Society
    of Plant Biologists. <a href="https://doi.org/10.1104/pp.113.214023">https://doi.org/10.1104/pp.113.214023</a>
  chicago: Landberg, Katarina, Eric Pederson, Tom Viaene, Behruz Bozorg, Jiří Friml,
    Henrik Jönsson, Mattias Thelander, and Eva Sundberg. “The Moss Physcomitrella
    Patens Reproductive Organ Development Is Highly Organized, Affected by the Two
    SHI/STY Genes and by the Level of Active Auxin in the SHI/STY Expression Domain.”
    <i>Plant Physiology</i>. American Society of Plant Biologists, 2013. <a href="https://doi.org/10.1104/pp.113.214023">https://doi.org/10.1104/pp.113.214023</a>.
  ieee: K. Landberg <i>et al.</i>, “The moss physcomitrella patens reproductive organ
    development is highly organized, affected by the two SHI/STY genes and by the
    level of active auxin in the SHI/STY expression domain,” <i>Plant Physiology</i>,
    vol. 162, no. 3. American Society of Plant Biologists, pp. 1406–1419, 2013.
  ista: Landberg K, Pederson E, Viaene T, Bozorg B, Friml J, Jönsson H, Thelander
    M, Sundberg E. 2013. The moss physcomitrella patens reproductive organ development
    is highly organized, affected by the two SHI/STY genes and by the level of active
    auxin in the SHI/STY expression domain. Plant Physiology. 162(3), 1406–1419.
  mla: Landberg, Katarina, et al. “The Moss Physcomitrella Patens Reproductive Organ
    Development Is Highly Organized, Affected by the Two SHI/STY Genes and by the
    Level of Active Auxin in the SHI/STY Expression Domain.” <i>Plant Physiology</i>,
    vol. 162, no. 3, American Society of Plant Biologists, 2013, pp. 1406–19, doi:<a
    href="https://doi.org/10.1104/pp.113.214023">10.1104/pp.113.214023</a>.
  short: K. Landberg, E. Pederson, T. Viaene, B. Bozorg, J. Friml, H. Jönsson, M.
    Thelander, E. Sundberg, Plant Physiology 162 (2013) 1406–1419.
date_created: 2018-12-11T11:59:42Z
date_published: 2013-07-03T00:00:00Z
date_updated: 2021-01-12T06:59:51Z
day: '03'
department:
- _id: JiFr
doi: 10.1104/pp.113.214023
external_id:
  pmid:
  - '23669745'
intvolume: '       162'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3707547/
month: '07'
oa: 1
oa_version: Submitted Version
page: 1406 - 1419
pmid: 1
publication: Plant Physiology
publication_status: published
publisher: American Society of Plant Biologists
publist_id: '4079'
quality_controlled: '1'
scopus_import: 1
status: public
title: The moss physcomitrella patens reproductive organ development is highly organized,
  affected by the two SHI/STY genes and by the level of active auxin in the SHI/STY
  expression domain
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 162
year: '2013'
...
---
_id: '2810'
abstract:
- lang: eng
  text: The epistatic interactions that underlie evolutionary constraint have mainly
    been studied for constant external conditions. However, environmental changes
    may modulate epistasis and hence affect genetic constraints. Here we investigate
    genetic constraints in the adaptive evolution of a novel regulatory function in
    variable environments, using the lac repressor, LacI, as a model system. We have
    systematically reconstructed mutational trajectories from wild type LacI to three
    different variants that each exhibit an inverse response to the inducing ligand
    IPTG, and analyzed the higher-order interactions between genetic and environmental
    changes. We find epistasis to depend strongly on the environment. As a result,
    mutational steps essential to inversion but inaccessible by positive selection
    in one environment, become accessible in another. We present a graphical method
    to analyze the observed complex higher-order interactions between multiple mutations
    and environmental change, and show how the interactions can be explained by a
    combination of mutational effects on allostery and thermodynamic stability. This
    dependency of genetic constraint on the environment should fundamentally affect
    evolutionary dynamics and affects the interpretation of phylogenetic data.
article_number: e1003580
author:
- first_name: Marjon
  full_name: De Vos, Marjon
  id: 3111FFAC-F248-11E8-B48F-1D18A9856A87
  last_name: De Vos
- first_name: Frank
  full_name: Poelwijk, Frank
  last_name: Poelwijk
- first_name: Nico
  full_name: Battich, Nico
  last_name: Battich
- first_name: Joseph
  full_name: Ndika, Joseph
  last_name: Ndika
- first_name: Sander
  full_name: Tans, Sander
  last_name: Tans
citation:
  ama: de Vos M, Poelwijk F, Battich N, Ndika J, Tans S. Environmental dependence
    of genetic constraint. <i>PLoS Genetics</i>. 2013;9(6). doi:<a href="https://doi.org/10.1371/journal.pgen.1003580">10.1371/journal.pgen.1003580</a>
  apa: de Vos, M., Poelwijk, F., Battich, N., Ndika, J., &#38; Tans, S. (2013). Environmental
    dependence of genetic constraint. <i>PLoS Genetics</i>. Public Library of Science.
    <a href="https://doi.org/10.1371/journal.pgen.1003580">https://doi.org/10.1371/journal.pgen.1003580</a>
  chicago: Vos, Marjon de, Frank Poelwijk, Nico Battich, Joseph Ndika, and Sander
    Tans. “Environmental Dependence of Genetic Constraint.” <i>PLoS Genetics</i>.
    Public Library of Science, 2013. <a href="https://doi.org/10.1371/journal.pgen.1003580">https://doi.org/10.1371/journal.pgen.1003580</a>.
  ieee: M. de Vos, F. Poelwijk, N. Battich, J. Ndika, and S. Tans, “Environmental
    dependence of genetic constraint,” <i>PLoS Genetics</i>, vol. 9, no. 6. Public
    Library of Science, 2013.
  ista: de Vos M, Poelwijk F, Battich N, Ndika J, Tans S. 2013. Environmental dependence
    of genetic constraint. PLoS Genetics. 9(6), e1003580.
  mla: de Vos, Marjon, et al. “Environmental Dependence of Genetic Constraint.” <i>PLoS
    Genetics</i>, vol. 9, no. 6, e1003580, Public Library of Science, 2013, doi:<a
    href="https://doi.org/10.1371/journal.pgen.1003580">10.1371/journal.pgen.1003580</a>.
  short: M. de Vos, F. Poelwijk, N. Battich, J. Ndika, S. Tans, PLoS Genetics 9 (2013).
date_created: 2018-12-11T11:59:43Z
date_published: 2013-06-27T00:00:00Z
date_updated: 2021-01-12T06:59:52Z
day: '27'
ddc:
- '570'
department:
- _id: ToBo
doi: 10.1371/journal.pgen.1003580
file:
- access_level: open_access
  checksum: 7a4736dd80496d29ff6908b6f2329b4e
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:08:51Z
  date_updated: 2020-07-14T12:45:48Z
  file_id: '4713'
  file_name: IST-2016-412-v1+1_journal.pgen.1003580.pdf
  file_size: 474655
  relation: main_file
file_date_updated: 2020-07-14T12:45:48Z
has_accepted_license: '1'
intvolume: '         9'
issue: '6'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '06'
oa: 1
oa_version: Published Version
publication: PLoS Genetics
publication_status: published
publisher: Public Library of Science
publist_id: '4075'
pubrep_id: '412'
quality_controlled: '1'
scopus_import: 1
status: public
title: Environmental dependence of genetic constraint
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: 9
year: '2013'
...
---
_id: '2811'
abstract:
- lang: eng
  text: 'In pipe, channel, and boundary layer flows turbulence first occurs intermittently
    in space and time: at moderate Reynolds numbers domains of disordered turbulent
    motion are separated by quiescent laminar regions. Based on direct numerical simulations
    of pipe flow we argue here that the spatial intermittency has its origin in a
    nearest neighbor interaction between turbulent regions. We further show that in
    this regime turbulent flows are intrinsically intermittent with a well-defined
    equilibrium turbulent fraction but without ever assuming a steady pattern. This
    transition scenario is analogous to that found in simple models such as coupled
    map lattices. The scaling observed implies that laminar intermissions of the turbulent
    flow will persist to arbitrarily large Reynolds numbers.'
article_number: '063012'
arxiv: 1
author:
- first_name: Marc
  full_name: Avila, Marc
  last_name: Avila
- first_name: Björn
  full_name: Hof, Björn
  id: 3A374330-F248-11E8-B48F-1D18A9856A87
  last_name: Hof
  orcid: 0000-0003-2057-2754
citation:
  ama: Avila M, Hof B. Nature of laminar-turbulence intermittency in shear flows.
    <i>Physical Review E</i>. 2013;87(6). doi:<a href="https://doi.org/10.1103/PhysRevE.87.063012">10.1103/PhysRevE.87.063012</a>
  apa: Avila, M., &#38; Hof, B. (2013). Nature of laminar-turbulence intermittency
    in shear flows. <i>Physical Review E</i>. American Institute of Physics. <a href="https://doi.org/10.1103/PhysRevE.87.063012">https://doi.org/10.1103/PhysRevE.87.063012</a>
  chicago: Avila, Marc, and Björn Hof. “Nature of Laminar-Turbulence Intermittency
    in Shear Flows.” <i>Physical Review E</i>. American Institute of Physics, 2013.
    <a href="https://doi.org/10.1103/PhysRevE.87.063012">https://doi.org/10.1103/PhysRevE.87.063012</a>.
  ieee: M. Avila and B. Hof, “Nature of laminar-turbulence intermittency in shear
    flows,” <i>Physical Review E</i>, vol. 87, no. 6. American Institute of Physics,
    2013.
  ista: Avila M, Hof B. 2013. Nature of laminar-turbulence intermittency in shear
    flows. Physical Review E. 87(6), 063012.
  mla: Avila, Marc, and Björn Hof. “Nature of Laminar-Turbulence Intermittency in
    Shear Flows.” <i>Physical Review E</i>, vol. 87, no. 6, 063012, American Institute
    of Physics, 2013, doi:<a href="https://doi.org/10.1103/PhysRevE.87.063012">10.1103/PhysRevE.87.063012</a>.
  short: M. Avila, B. Hof, Physical Review E 87 (2013).
date_created: 2018-12-11T11:59:43Z
date_published: 2013-06-18T00:00:00Z
date_updated: 2021-01-12T06:59:53Z
day: '18'
department:
- _id: BjHo
doi: 10.1103/PhysRevE.87.063012
ec_funded: 1
external_id:
  arxiv:
  - '1306.5890'
intvolume: '        87'
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1306.5890
month: '06'
oa: 1
oa_version: Preprint
project:
- _id: 25152F3A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '306589'
  name: Decoding the complexity of turbulence at its origin
publication: Physical Review E
publication_status: published
publisher: American Institute of Physics
publist_id: '4074'
quality_controlled: '1'
scopus_import: 1
status: public
title: Nature of laminar-turbulence intermittency in shear flows
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 87
year: '2013'
...
---
_id: '2812'
abstract:
- lang: eng
  text: 'We consider the problem of deciding whether the persistent homology group
    of a simplicial pair (K, L) can be realized as the homology H* (X) of some complex
    X with L ⊂ X ⊂ K. We show that this problem is NP-complete even if K is embedded
    in ℝ3. As a consequence, we show that it is NP-hard to simplify level and sublevel
    sets of scalar functions on S3 within a given tolerance constraint. This problem
    has relevance to the visualization of medical images by isosurfaces. We also show
    an implication to the theory of well groups of scalar functions: not every well
    group can be realized by some level set, and deciding whether a well group can
    be realized is NP-hard.'
acknowledgement: Some of the authors were partially supported by the GIGA ANR grant
  (contract ANR-09-BLAN-0331-01) and the European project CG-Learning (contract 255827).
author:
- first_name: Dominique
  full_name: Attali, Dominique
  last_name: Attali
- first_name: Ulrich
  full_name: Bauer, Ulrich
  id: 2ADD483A-F248-11E8-B48F-1D18A9856A87
  last_name: Bauer
  orcid: 0000-0002-9683-0724
- first_name: Olivier
  full_name: Devillers, Olivier
  last_name: Devillers
- first_name: Marc
  full_name: Glisse, Marc
  last_name: Glisse
- first_name: André
  full_name: Lieutier, André
  last_name: Lieutier
citation:
  ama: 'Attali D, Bauer U, Devillers O, Glisse M, Lieutier A. Homological reconstruction
    and simplification in R3. In: <i>Proceedings of the 29th Annual Symposium on Computational
    Geometry</i>. ACM; 2013:117-125. doi:<a href="https://doi.org/10.1145/2462356.2462373">10.1145/2462356.2462373</a>'
  apa: 'Attali, D., Bauer, U., Devillers, O., Glisse, M., &#38; Lieutier, A. (2013).
    Homological reconstruction and simplification in R3. In <i>Proceedings of the
    29th annual symposium on Computational Geometry</i> (pp. 117–125). Rio de Janeiro,
    Brazil: ACM. <a href="https://doi.org/10.1145/2462356.2462373">https://doi.org/10.1145/2462356.2462373</a>'
  chicago: Attali, Dominique, Ulrich Bauer, Olivier Devillers, Marc Glisse, and André
    Lieutier. “Homological Reconstruction and Simplification in R3.” In <i>Proceedings
    of the 29th Annual Symposium on Computational Geometry</i>, 117–25. ACM, 2013.
    <a href="https://doi.org/10.1145/2462356.2462373">https://doi.org/10.1145/2462356.2462373</a>.
  ieee: D. Attali, U. Bauer, O. Devillers, M. Glisse, and A. Lieutier, “Homological
    reconstruction and simplification in R3,” in <i>Proceedings of the 29th annual
    symposium on Computational Geometry</i>, Rio de Janeiro, Brazil, 2013, pp. 117–125.
  ista: 'Attali D, Bauer U, Devillers O, Glisse M, Lieutier A. 2013. Homological reconstruction
    and simplification in R3. Proceedings of the 29th annual symposium on Computational
    Geometry. SoCG: Symposium on Computational Geometry, 117–125.'
  mla: Attali, Dominique, et al. “Homological Reconstruction and Simplification in
    R3.” <i>Proceedings of the 29th Annual Symposium on Computational Geometry</i>,
    ACM, 2013, pp. 117–25, doi:<a href="https://doi.org/10.1145/2462356.2462373">10.1145/2462356.2462373</a>.
  short: D. Attali, U. Bauer, O. Devillers, M. Glisse, A. Lieutier, in:, Proceedings
    of the 29th Annual Symposium on Computational Geometry, ACM, 2013, pp. 117–125.
conference:
  end_date: 2013-06-20
  location: Rio de Janeiro, Brazil
  name: 'SoCG: Symposium on Computational Geometry'
  start_date: 2013-06-17
date_created: 2018-12-11T11:59:44Z
date_published: 2013-06-01T00:00:00Z
date_updated: 2023-02-23T10:15:15Z
day: '01'
department:
- _id: HeEd
doi: 10.1145/2462356.2462373
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://hal.archives-ouvertes.fr/hal-00833791/
month: '06'
oa: 1
oa_version: Submitted Version
page: 117 - 125
publication: Proceedings of the 29th annual symposium on Computational Geometry
publication_status: published
publisher: ACM
publist_id: '4072'
quality_controlled: '1'
related_material:
  record:
  - id: '1805'
    relation: later_version
    status: public
scopus_import: 1
status: public
title: Homological reconstruction and simplification in R3
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2013'
...
---
_id: '2813'
abstract:
- lang: eng
  text: Turbulence is ubiquitous in nature, yet even for the case of ordinary Newtonian
    fluids like water, our understanding of this phenomenon is limited. Many liquids
    of practical importance are more complicated (e.g., blood, polymer melts, paints),
    however; they exhibit elastic as well as viscous characteristics, and the relation
    between stress and strain is nonlinear. We demonstrate here for a model system
    of such complex fluids that at high shear rates, turbulence is not simply modified
    as previously believed but is suppressed and replaced by a different type of disordered
    motion, elasto-inertial turbulence. Elasto-inertial turbulence is found to occur
    at much lower Reynolds numbers than Newtonian turbulence, and the dynamical properties
    differ significantly. The friction scaling observed coincides with the so-called
    &quot;maximum drag reduction&quot; asymptote, which is exhibited by a wide range
    of viscoelastic fluids.
author:
- first_name: Devranjan
  full_name: Samanta, Devranjan
  last_name: Samanta
- first_name: Yves
  full_name: Dubief, Yves
  last_name: Dubief
- first_name: Markus
  full_name: Holzner, Markus
  last_name: Holzner
- first_name: Christof
  full_name: Schäfer, Christof
  last_name: Schäfer
- first_name: Alexander
  full_name: Morozov, Alexander
  last_name: Morozov
- first_name: Christian
  full_name: Wagner, Christian
  last_name: Wagner
- first_name: Björn
  full_name: Hof, Björn
  id: 3A374330-F248-11E8-B48F-1D18A9856A87
  last_name: Hof
  orcid: 0000-0003-2057-2754
citation:
  ama: Samanta D, Dubief Y, Holzner M, et al. Elasto-inertial turbulence. <i>PNAS</i>.
    2013;110(26):10557-10562. doi:<a href="https://doi.org/10.1073/pnas.1219666110">10.1073/pnas.1219666110</a>
  apa: Samanta, D., Dubief, Y., Holzner, M., Schäfer, C., Morozov, A., Wagner, C.,
    &#38; Hof, B. (2013). Elasto-inertial turbulence. <i>PNAS</i>. National Academy
    of Sciences. <a href="https://doi.org/10.1073/pnas.1219666110">https://doi.org/10.1073/pnas.1219666110</a>
  chicago: Samanta, Devranjan, Yves Dubief, Markus Holzner, Christof Schäfer, Alexander
    Morozov, Christian Wagner, and Björn Hof. “Elasto-Inertial Turbulence.” <i>PNAS</i>.
    National Academy of Sciences, 2013. <a href="https://doi.org/10.1073/pnas.1219666110">https://doi.org/10.1073/pnas.1219666110</a>.
  ieee: D. Samanta <i>et al.</i>, “Elasto-inertial turbulence,” <i>PNAS</i>, vol.
    110, no. 26. National Academy of Sciences, pp. 10557–10562, 2013.
  ista: Samanta D, Dubief Y, Holzner M, Schäfer C, Morozov A, Wagner C, Hof B. 2013.
    Elasto-inertial turbulence. PNAS. 110(26), 10557–10562.
  mla: Samanta, Devranjan, et al. “Elasto-Inertial Turbulence.” <i>PNAS</i>, vol.
    110, no. 26, National Academy of Sciences, 2013, pp. 10557–62, doi:<a href="https://doi.org/10.1073/pnas.1219666110">10.1073/pnas.1219666110</a>.
  short: D. Samanta, Y. Dubief, M. Holzner, C. Schäfer, A. Morozov, C. Wagner, B.
    Hof, PNAS 110 (2013) 10557–10562.
date_created: 2018-12-11T11:59:44Z
date_published: 2013-06-25T00:00:00Z
date_updated: 2021-01-12T06:59:54Z
day: '25'
department:
- _id: BjHo
doi: 10.1073/pnas.1219666110
external_id:
  pmid:
  - '23757498'
intvolume: '       110'
issue: '26'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3696777/
month: '06'
oa: 1
oa_version: Submitted Version
page: 10557 - 10562
pmid: 1
publication: PNAS
publication_status: published
publisher: National Academy of Sciences
publist_id: '4073'
quality_controlled: '1'
scopus_import: 1
status: public
title: Elasto-inertial turbulence
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 110
year: '2013'
...
---
_id: '2814'
abstract:
- lang: eng
  text: We study the problem of generating a test sequence that achieves maximal coverage
    for a reactive system under test. We formulate the problem as a repeated game
    between the tester and the system, where the system state space is partitioned
    according to some coverage criterion and the objective of the tester is to maximize
    the set of partitions (or coverage goals) visited during the game. We show the
    complexity of the maximal coverage problem for non-deterministic systems is PSPACE-complete,
    but is NP-complete for deterministic systems. For the special case of non-deterministic
    systems with a re-initializing &quot;reset&quot; action, which represent running
    a new test input on a re-initialized system, we show that the complexity is coNP-complete.
    Our proof technique for reset games uses randomized testing strategies that circumvent
    the exponentially large memory requirement of deterministic testing strategies.
    We also discuss the memory requirement for deterministic strategies and extensions
    of our results to other models, such as pushdown systems and timed systems.
arxiv: 1
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Luca
  full_name: Alfaro, Luca
  last_name: Alfaro
- first_name: Ritankar
  full_name: Majumdar, Ritankar
  last_name: Majumdar
citation:
  ama: Chatterjee K, Alfaro L, Majumdar R. The complexity of coverage. <i>International
    Journal of Foundations of Computer Science</i>. 2013;24(2):165-185. doi:<a href="https://doi.org/10.1142/S0129054113400066">10.1142/S0129054113400066</a>
  apa: Chatterjee, K., Alfaro, L., &#38; Majumdar, R. (2013). The complexity of coverage.
    <i>International Journal of Foundations of Computer Science</i>. World Scientific
    Publishing. <a href="https://doi.org/10.1142/S0129054113400066">https://doi.org/10.1142/S0129054113400066</a>
  chicago: Chatterjee, Krishnendu, Luca Alfaro, and Ritankar Majumdar. “The Complexity
    of Coverage.” <i>International Journal of Foundations of Computer Science</i>.
    World Scientific Publishing, 2013. <a href="https://doi.org/10.1142/S0129054113400066">https://doi.org/10.1142/S0129054113400066</a>.
  ieee: K. Chatterjee, L. Alfaro, and R. Majumdar, “The complexity of coverage,” <i>International
    Journal of Foundations of Computer Science</i>, vol. 24, no. 2. World Scientific
    Publishing, pp. 165–185, 2013.
  ista: Chatterjee K, Alfaro L, Majumdar R. 2013. The complexity of coverage. International
    Journal of Foundations of Computer Science. 24(2), 165–185.
  mla: Chatterjee, Krishnendu, et al. “The Complexity of Coverage.” <i>International
    Journal of Foundations of Computer Science</i>, vol. 24, no. 2, World Scientific
    Publishing, 2013, pp. 165–85, doi:<a href="https://doi.org/10.1142/S0129054113400066">10.1142/S0129054113400066</a>.
  short: K. Chatterjee, L. Alfaro, R. Majumdar, International Journal of Foundations
    of Computer Science 24 (2013) 165–185.
date_created: 2018-12-11T11:59:44Z
date_published: 2013-02-01T00:00:00Z
date_updated: 2021-01-12T06:59:54Z
day: '01'
department:
- _id: KrCh
doi: 10.1142/S0129054113400066
ec_funded: 1
external_id:
  arxiv:
  - '0804.4525'
intvolume: '        24'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/0804.4525
month: '02'
oa: 1
oa_version: Preprint
page: 165 - 185
project:
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
  name: Microsoft Research Faculty Fellowship
publication: International Journal of Foundations of Computer Science
publication_status: published
publisher: World Scientific Publishing
publist_id: '4070'
quality_controlled: '1'
scopus_import: 1
status: public
title: The complexity of coverage
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 24
year: '2013'
...
---
_id: '2815'
abstract:
- lang: eng
  text: The fact that a sum of isotropic Gaussian kernels can have more modes than
    kernels is surprising. Extra (ghost) modes do not exist in ℝ1 and are generally
    not well studied in higher dimensions. We study a configuration of n+1 Gaussian
    kernels for which there are exactly n+2 modes. We show that all modes lie on a
    finite set of lines, which we call axes, and study the restriction of the Gaussian
    mixture to these axes in order to discover that there are an exponential number
    of critical points in this configuration. Although the existence of ghost modes
    remained unknown due to the difficulty of finding examples in ℝ2, we show that
    the resilience of ghost modes grows like the square root of the dimension. In
    addition, we exhibit finite configurations of isotropic Gaussian kernels with
    superlinearly many modes.
acknowledgement: This research is partially supported by the National Science Foundation
  (NSF) under Grant DBI-0820624, by the European Science Foundation under the Research
  Networking Programme, and the Russian Government Project 11.G34.31.0053.
article_processing_charge: No
article_type: original
author:
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Brittany Terese
  full_name: Fasy, Brittany Terese
  id: F65D502E-E68D-11E9-9252-C644099818F6
  last_name: Fasy
- first_name: Günter
  full_name: Rote, Günter
  last_name: Rote
citation:
  ama: 'Edelsbrunner H, Fasy BT, Rote G. Add isotropic Gaussian kernels at own risk:
    More and more resilient modes in higher dimensions. <i>Discrete &#38; Computational
    Geometry</i>. 2013;49(4):797-822. doi:<a href="https://doi.org/10.1007/s00454-013-9517-x">10.1007/s00454-013-9517-x</a>'
  apa: 'Edelsbrunner, H., Fasy, B. T., &#38; Rote, G. (2013). Add isotropic Gaussian
    kernels at own risk: More and more resilient modes in higher dimensions. <i>Discrete
    &#38; Computational Geometry</i>. Springer. <a href="https://doi.org/10.1007/s00454-013-9517-x">https://doi.org/10.1007/s00454-013-9517-x</a>'
  chicago: 'Edelsbrunner, Herbert, Brittany Terese Fasy, and Günter Rote. “Add Isotropic
    Gaussian Kernels at Own Risk: More and More Resilient Modes in Higher Dimensions.”
    <i>Discrete &#38; Computational Geometry</i>. Springer, 2013. <a href="https://doi.org/10.1007/s00454-013-9517-x">https://doi.org/10.1007/s00454-013-9517-x</a>.'
  ieee: 'H. Edelsbrunner, B. T. Fasy, and G. Rote, “Add isotropic Gaussian kernels
    at own risk: More and more resilient modes in higher dimensions,” <i>Discrete
    &#38; Computational Geometry</i>, vol. 49, no. 4. Springer, pp. 797–822, 2013.'
  ista: 'Edelsbrunner H, Fasy BT, Rote G. 2013. Add isotropic Gaussian kernels at
    own risk: More and more resilient modes in higher dimensions. Discrete &#38; Computational
    Geometry. 49(4), 797–822.'
  mla: 'Edelsbrunner, Herbert, et al. “Add Isotropic Gaussian Kernels at Own Risk:
    More and More Resilient Modes in Higher Dimensions.” <i>Discrete &#38; Computational
    Geometry</i>, vol. 49, no. 4, Springer, 2013, pp. 797–822, doi:<a href="https://doi.org/10.1007/s00454-013-9517-x">10.1007/s00454-013-9517-x</a>.'
  short: H. Edelsbrunner, B.T. Fasy, G. Rote, Discrete &#38; Computational Geometry
    49 (2013) 797–822.
date_created: 2018-12-11T11:59:44Z
date_published: 2013-06-01T00:00:00Z
date_updated: 2023-02-23T11:13:49Z
day: '01'
department:
- _id: HeEd
doi: 10.1007/s00454-013-9517-x
intvolume: '        49'
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1007/s00454-013-9517-x
month: '06'
oa: 1
oa_version: Published Version
page: 797 - 822
publication: Discrete & Computational Geometry
publication_identifier:
  eissn:
  - 1432-0444
  issn:
  - 0179-5376
publication_status: published
publisher: Springer
publist_id: '3991'
quality_controlled: '1'
related_material:
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  - id: '3134'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: 'Add isotropic Gaussian kernels at own risk: More and more resilient modes
  in higher dimensions'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 49
year: '2013'
...
---
_id: '2816'
abstract:
- lang: eng
  text: In solid tumors, targeted treatments can lead to dramatic regressions, but
    responses are often short-lived because resistant cancer cells arise. The major
    strategy proposed for overcoming resistance is combination therapy. We present
    a mathematical model describing the evolutionary dynamics of lesions in response
    to treatment. We first studied 20 melanoma patients receiving vemurafenib. We
    then applied our model to an independent set of pancreatic, colorectal, and melanoma
    cancer patients with metastatic disease. We find that dual therapy results in
    long-term disease control for most patients, if there are no single mutations
    that cause cross-resistance to both drugs; in patients with large disease burden,
    triple therapy is needed. We also find that simultaneous therapy with two drugs
    is much more effective than sequential therapy. Our results provide realistic
    expectations for the efficacy of new drug combinations and inform the design of
    trials for new cancer therapeutics.
article_number: e00747
author:
- first_name: Ivana
  full_name: Božić, Ivana
  last_name: Božić
- first_name: Johannes
  full_name: Reiter, Johannes
  id: 4A918E98-F248-11E8-B48F-1D18A9856A87
  last_name: Reiter
  orcid: 0000-0002-0170-7353
- first_name: Benjamin
  full_name: Allen, Benjamin
  last_name: Allen
- first_name: Tibor
  full_name: Antal, Tibor
  last_name: Antal
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Preya
  full_name: Shah, Preya
  last_name: Shah
- first_name: Yo
  full_name: Moon, Yo
  last_name: Moon
- first_name: Amin
  full_name: Yaqubie, Amin
  last_name: Yaqubie
- first_name: Nicole
  full_name: Kelly, Nicole
  last_name: Kelly
- first_name: Dung
  full_name: Le, Dung
  last_name: Le
- first_name: Evan
  full_name: Lipson, Evan
  last_name: Lipson
- first_name: Paul
  full_name: Chapman, Paul
  last_name: Chapman
- first_name: Luis
  full_name: Diaz, Luis
  last_name: Diaz
- first_name: Bert
  full_name: Vogelstein, Bert
  last_name: Vogelstein
- first_name: Martin
  full_name: Nowak, Martin
  last_name: Nowak
citation:
  ama: Božić I, Reiter J, Allen B, et al. Evolutionary dynamics of cancer in response
    to targeted combination therapy. <i>eLife</i>. 2013;2. doi:<a href="https://doi.org/10.7554/eLife.00747">10.7554/eLife.00747</a>
  apa: Božić, I., Reiter, J., Allen, B., Antal, T., Chatterjee, K., Shah, P., … Nowak,
    M. (2013). Evolutionary dynamics of cancer in response to targeted combination
    therapy. <i>ELife</i>. eLife Sciences Publications. <a href="https://doi.org/10.7554/eLife.00747">https://doi.org/10.7554/eLife.00747</a>
  chicago: Božić, Ivana, Johannes Reiter, Benjamin Allen, Tibor Antal, Krishnendu
    Chatterjee, Preya Shah, Yo Moon, et al. “Evolutionary Dynamics of Cancer in Response
    to Targeted Combination Therapy.” <i>ELife</i>. eLife Sciences Publications, 2013.
    <a href="https://doi.org/10.7554/eLife.00747">https://doi.org/10.7554/eLife.00747</a>.
  ieee: I. Božić <i>et al.</i>, “Evolutionary dynamics of cancer in response to targeted
    combination therapy,” <i>eLife</i>, vol. 2. eLife Sciences Publications, 2013.
  ista: Božić I, Reiter J, Allen B, Antal T, Chatterjee K, Shah P, Moon Y, Yaqubie
    A, Kelly N, Le D, Lipson E, Chapman P, Diaz L, Vogelstein B, Nowak M. 2013. Evolutionary
    dynamics of cancer in response to targeted combination therapy. eLife. 2, e00747.
  mla: Božić, Ivana, et al. “Evolutionary Dynamics of Cancer in Response to Targeted
    Combination Therapy.” <i>ELife</i>, vol. 2, e00747, eLife Sciences Publications,
    2013, doi:<a href="https://doi.org/10.7554/eLife.00747">10.7554/eLife.00747</a>.
  short: I. Božić, J. Reiter, B. Allen, T. Antal, K. Chatterjee, P. Shah, Y. Moon,
    A. Yaqubie, N. Kelly, D. Le, E. Lipson, P. Chapman, L. Diaz, B. Vogelstein, M.
    Nowak, ELife 2 (2013).
date_created: 2018-12-11T11:59:45Z
date_published: 2013-06-25T00:00:00Z
date_updated: 2023-09-07T11:40:43Z
day: '25'
ddc:
- '570'
- '610'
department:
- _id: KrCh
doi: 10.7554/eLife.00747
file:
- access_level: open_access
  checksum: 2c38c47815eacd8fa66cb8b404cf7c61
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:12:48Z
  date_updated: 2020-07-14T12:45:49Z
  file_id: '4967'
  file_name: IST-2013-134-v1+1_e00747.full.pdf
  file_size: 3358321
  relation: main_file
file_date_updated: 2020-07-14T12:45:49Z
has_accepted_license: '1'
intvolume: '         2'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
publication: eLife
publication_status: published
publisher: eLife Sciences Publications
publist_id: '3985'
pubrep_id: '134'
quality_controlled: '1'
related_material:
  record:
  - id: '1400'
    relation: dissertation_contains
    status: public
scopus_import: 1
status: public
title: Evolutionary dynamics of cancer in response to targeted combination therapy
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: 2
year: '2013'
...
---
_id: '2817'
abstract:
- lang: eng
  text: The basic idea of evolutionary game theory is that payoff determines reproductive
    rate. Successful individuals have a higher payoff and produce more offspring.
    But in evolutionary and ecological situations there is not only reproductive rate
    but also carrying capacity. Individuals may differ in their exposure to density
    limiting effects. Here we explore an alternative approach to evolutionary game
    theory by assuming that the payoff from the game determines the carrying capacity
    of individual phenotypes. Successful strategies are less affected by density limitation
    (crowding) and reach higher equilibrium abundance. We demonstrate similarities
    and differences between our framework and the standard replicator equation. Our
    equation is defined on the positive orthant, instead of the simplex, but has the
    same equilibrium points as the replicator equation. Linear stability analysis
    produces the classical conditions for asymptotic stability of pure strategies,
    but the stability properties of internal equilibria can differ in the two frameworks.
    For example, in a two-strategy game with an internal equilibrium that is always
    stable under the replicator equation, the corresponding equilibrium can be unstable
    in the new framework resulting in a limit cycle.
author:
- first_name: Sebastian
  full_name: Novak, Sebastian
  id: 461468AE-F248-11E8-B48F-1D18A9856A87
  last_name: Novak
  orcid: 0000-0002-2519-824X
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Martin
  full_name: Nowak, Martin
  last_name: Nowak
citation:
  ama: Novak S, Chatterjee K, Nowak M. Density games. <i>Journal of Theoretical Biology</i>.
    2013;334:26-34. doi:<a href="https://doi.org/10.1016/j.jtbi.2013.05.029">10.1016/j.jtbi.2013.05.029</a>
  apa: Novak, S., Chatterjee, K., &#38; Nowak, M. (2013). Density games. <i>Journal
    of Theoretical Biology</i>. Elsevier. <a href="https://doi.org/10.1016/j.jtbi.2013.05.029">https://doi.org/10.1016/j.jtbi.2013.05.029</a>
  chicago: Novak, Sebastian, Krishnendu Chatterjee, and Martin Nowak. “Density Games.”
    <i>Journal of Theoretical Biology</i>. Elsevier, 2013. <a href="https://doi.org/10.1016/j.jtbi.2013.05.029">https://doi.org/10.1016/j.jtbi.2013.05.029</a>.
  ieee: S. Novak, K. Chatterjee, and M. Nowak, “Density games,” <i>Journal of Theoretical
    Biology</i>, vol. 334. Elsevier, pp. 26–34, 2013.
  ista: Novak S, Chatterjee K, Nowak M. 2013. Density games. Journal of Theoretical
    Biology. 334, 26–34.
  mla: Novak, Sebastian, et al. “Density Games.” <i>Journal of Theoretical Biology</i>,
    vol. 334, Elsevier, 2013, pp. 26–34, doi:<a href="https://doi.org/10.1016/j.jtbi.2013.05.029">10.1016/j.jtbi.2013.05.029</a>.
  short: S. Novak, K. Chatterjee, M. Nowak, Journal of Theoretical Biology 334 (2013)
    26–34.
date_created: 2018-12-11T11:59:45Z
date_published: 2013-10-07T00:00:00Z
date_updated: 2025-05-28T11:42:43Z
day: '07'
ddc:
- '000'
department:
- _id: NiBa
- _id: KrCh
doi: 10.1016/j.jtbi.2013.05.029
ec_funded: 1
file:
- access_level: open_access
  checksum: 3c29059ab03a4b8f97a07646b817ddbb
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:14:54Z
  date_updated: 2020-07-14T12:45:49Z
  file_id: '5110'
  file_name: IST-2016-400-v1+1_1-s2.0-S0022519313002609-main.pdf
  file_size: 834604
  relation: main_file
file_date_updated: 2020-07-14T12:45:49Z
has_accepted_license: '1'
intvolume: '       334'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
page: 26 - 34
project:
- _id: 25B07788-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '250152'
  name: Limits to selection in biology and in evolutionary computation
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 25863FF4-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S11407
  name: Game Theory
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 2587B514-B435-11E9-9278-68D0E5697425
  name: Microsoft Research Faculty Fellowship
publication: Journal of Theoretical Biology
publication_status: published
publisher: Elsevier
publist_id: '3984'
pubrep_id: '400'
quality_controlled: '1'
scopus_import: 1
status: public
title: Density games
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: 334
year: '2013'
...
---
_id: '2818'
abstract:
- lang: eng
  text: Models of neural responses to stimuli with complex spatiotemporal correlation
    structure often assume that neurons are selective for only a small number of linear
    projections of a potentially high-dimensional input. In this review, we explore
    recent modeling approaches where the neural response depends on the quadratic
    form of the input rather than on its linear projection, that is, the neuron is
    sensitive to the local covariance structure of the signal preceding the spike.
    To infer this quadratic dependence in the presence of arbitrary (e.g., naturalistic)
    stimulus distribution, we review several inference methods, focusing in particular
    on two information theory–based approaches (maximization of stimulus energy and
    of noise entropy) and two likelihood-based approaches (Bayesian spike-triggered
    covariance and extensions of generalized linear models). We analyze the formal
    relationship between the likelihood-based and information-based approaches to
    demonstrate how they lead to consistent inference. We demonstrate the practical
    feasibility of these procedures by using model neurons responding to a flickering
    variance stimulus.
arxiv: 1
author:
- first_name: Kanaka
  full_name: Rajan, Kanaka
  last_name: Rajan
- first_name: Olivier
  full_name: Marre, Olivier
  last_name: Marre
- first_name: Gasper
  full_name: Tkacik, Gasper
  id: 3D494DCA-F248-11E8-B48F-1D18A9856A87
  last_name: Tkacik
  orcid: 0000-0002-6699-1455
citation:
  ama: Rajan K, Marre O, Tkačik G. Learning quadratic receptive fields from neural
    responses to natural stimuli. <i>Neural Computation</i>. 2013;25(7):1661-1692.
    doi:<a href="https://doi.org/10.1162/NECO_a_00463">10.1162/NECO_a_00463</a>
  apa: Rajan, K., Marre, O., &#38; Tkačik, G. (2013). Learning quadratic receptive
    fields from neural responses to natural stimuli. <i>Neural Computation</i>. MIT
    Press . <a href="https://doi.org/10.1162/NECO_a_00463">https://doi.org/10.1162/NECO_a_00463</a>
  chicago: Rajan, Kanaka, Olivier Marre, and Gašper Tkačik. “Learning Quadratic Receptive
    Fields from Neural Responses to Natural Stimuli.” <i>Neural Computation</i>. MIT
    Press , 2013. <a href="https://doi.org/10.1162/NECO_a_00463">https://doi.org/10.1162/NECO_a_00463</a>.
  ieee: K. Rajan, O. Marre, and G. Tkačik, “Learning quadratic receptive fields from
    neural responses to natural stimuli,” <i>Neural Computation</i>, vol. 25, no.
    7. MIT Press , pp. 1661–1692, 2013.
  ista: Rajan K, Marre O, Tkačik G. 2013. Learning quadratic receptive fields from
    neural responses to natural stimuli. Neural Computation. 25(7), 1661–1692.
  mla: Rajan, Kanaka, et al. “Learning Quadratic Receptive Fields from Neural Responses
    to Natural Stimuli.” <i>Neural Computation</i>, vol. 25, no. 7, MIT Press , 2013,
    pp. 1661–92, doi:<a href="https://doi.org/10.1162/NECO_a_00463">10.1162/NECO_a_00463</a>.
  short: K. Rajan, O. Marre, G. Tkačik, Neural Computation 25 (2013) 1661–1692.
date_created: 2018-12-11T11:59:45Z
date_published: 2013-07-01T00:00:00Z
date_updated: 2021-01-12T06:59:56Z
day: '01'
department:
- _id: GaTk
doi: 10.1162/NECO_a_00463
external_id:
  arxiv:
  - '1209.0121'
intvolume: '        25'
issue: '7'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1209.0121
month: '07'
oa: 1
oa_version: Preprint
page: 1661 - 1692
publication: Neural Computation
publication_status: published
publisher: 'MIT Press '
publist_id: '3983'
quality_controlled: '1'
scopus_import: 1
status: public
title: Learning quadratic receptive fields from neural responses to natural stimuli
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 25
year: '2013'
...
