---
_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:<a href="http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x">http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x</a>'
  apa: 'Auzinger, T., Guthe, M., &#38; 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. <a href="http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x">http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x</a>'
  chicago: Auzinger, Thomas, Michael Guthe, and Stefan Jeschke. “Analytic Anti-Aliasing
    of Linear Functions on Polytopes,” 31:335–44. Wiley-Blackwell, 2012. <a href="http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x">http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x</a>.
  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. <i>Analytic Anti-Aliasing of Linear Functions on Polytopes</i>.
    Vol. 31, no. 121, Wiley-Blackwell, 2012, pp. 335–44, doi:<a href="http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x">http://dx.doi.org/10.1111/j.1467-8659.2012.03012.x</a>.
  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: '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:<a href="https://doi.org/10.1142/9789814449243_0045">10.1142/9789814449243_0045</a>'
  apa: 'Frank, R., Lieb, É., Seiringer, R., &#38; 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. <a href="https://doi.org/10.1142/9789814449243_0045">https://doi.org/10.1142/9789814449243_0045</a>'
  chicago: Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Ground
    State Properties of Multi-Polaron Systems,” 477–85. World Scientific Publishing,
    2012. <a href="https://doi.org/10.1142/9789814449243_0045">https://doi.org/10.1142/9789814449243_0045</a>.
  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. <i>Ground State Properties of Multi-Polaron Systems</i>.
    World Scientific Publishing, 2012, pp. 477–85, doi:<a href="https://doi.org/10.1142/9789814449243_0045">10.1142/9789814449243_0045</a>.
  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:<a href="https://doi.org/10.1142/9789814449243_0060">10.1142/9789814449243_0060</a>'
  apa: 'Frank, R., Hainzl, C., Seiringer, R., &#38; 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. <a
    href="https://doi.org/10.1142/9789814449243_0060">https://doi.org/10.1142/9789814449243_0060</a>'
  chicago: Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “Microscopic
    Derivation of the Ginzburg-Landau Model,” 575–83. World Scientific Publishing,
    2012. <a href="https://doi.org/10.1142/9789814449243_0060">https://doi.org/10.1142/9789814449243_0060</a>.
  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. <i>Microscopic Derivation of the Ginzburg-Landau Model</i>.
    World Scientific Publishing, 2012, pp. 575–83, doi:<a href="https://doi.org/10.1142/9789814449243_0060">10.1142/9789814449243_0060</a>.
  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. <i>Journal of Spectral Theory</i>. 2012;2(3):321-328. doi:<a href="https://doi.org/10.4171/JST/31">10.4171/JST/31</a>
  apa: Seiringer, R. (2012). Absence of bound states implies non-negativity of the
    scattering length. <i>Journal of Spectral Theory</i>. European Mathematical Society.
    <a href="https://doi.org/10.4171/JST/31">https://doi.org/10.4171/JST/31</a>
  chicago: Seiringer, Robert. “Absence of Bound States Implies Non-Negativity of the
    Scattering Length.” <i>Journal of Spectral Theory</i>. European Mathematical Society,
    2012. <a href="https://doi.org/10.4171/JST/31">https://doi.org/10.4171/JST/31</a>.
  ieee: R. Seiringer, “Absence of bound states implies non-negativity of the scattering
    length,” <i>Journal of Spectral Theory</i>, 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.” <i>Journal of Spectral Theory</i>, vol. 2, no. 3, European Mathematical
    Society, 2012, pp. 321–28, doi:<a href="https://doi.org/10.4171/JST/31">10.4171/JST/31</a>.
  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: '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. <i>Journal of the American Mathematical Society</i>. 2012;25(3):667-713.
    doi:<a href="https://doi.org/10.1090/S0894-0347-2012-00735-8">10.1090/S0894-0347-2012-00735-8</a>
  apa: Frank, R., Hainzl, C., Seiringer, R., &#38; Solovej, J. (2012). Microscopic
    derivation of Ginzburg-Landau theory. <i>Journal of the American Mathematical
    Society</i>. American Mathematical Society. <a href="https://doi.org/10.1090/S0894-0347-2012-00735-8">https://doi.org/10.1090/S0894-0347-2012-00735-8</a>
  chicago: Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “Microscopic
    Derivation of Ginzburg-Landau Theory.” <i>Journal of the American Mathematical
    Society</i>. American Mathematical Society, 2012. <a href="https://doi.org/10.1090/S0894-0347-2012-00735-8">https://doi.org/10.1090/S0894-0347-2012-00735-8</a>.
  ieee: R. Frank, C. Hainzl, R. Seiringer, and J. Solovej, “Microscopic derivation
    of Ginzburg-Landau theory,” <i>Journal of the American Mathematical Society</i>,
    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.” <i>Journal
    of the American Mathematical Society</i>, vol. 25, no. 3, American Mathematical
    Society, 2012, pp. 667–713, doi:<a href="https://doi.org/10.1090/S0894-0347-2012-00735-8">10.1090/S0894-0347-2012-00735-8</a>.
  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. <i>Letters
    in Mathematical Physics</i>. 2012;100(3):237-243. doi:<a href="https://doi.org/10.1007/s11005-012-0566-5">10.1007/s11005-012-0566-5</a>
  apa: Landon, B., &#38; Seiringer, R. (2012). The scattering length at positive temperature.
    <i>Letters in Mathematical Physics</i>. Springer. <a href="https://doi.org/10.1007/s11005-012-0566-5">https://doi.org/10.1007/s11005-012-0566-5</a>
  chicago: Landon, Benjamin, and Robert Seiringer. “The Scattering Length at Positive
    Temperature.” <i>Letters in Mathematical Physics</i>. Springer, 2012. <a href="https://doi.org/10.1007/s11005-012-0566-5">https://doi.org/10.1007/s11005-012-0566-5</a>.
  ieee: B. Landon and R. Seiringer, “The scattering length at positive temperature,”
    <i>Letters in Mathematical Physics</i>, 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.” <i>Letters in Mathematical Physics</i>, vol. 100, no. 3, Springer,
    2012, pp. 237–43, doi:<a href="https://doi.org/10.1007/s11005-012-0566-5">10.1007/s11005-012-0566-5</a>.
  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. <i>Letters in Mathematical Physics</i>. 2012;100(2):119-138.
    doi:<a href="https://doi.org/10.1007/s11005-011-0535-4">10.1007/s11005-011-0535-4</a>
  apa: Hainzl, C., &#38; Seiringer, R. (2012). Low density limit of BCS theory and
    Bose-Einstein condensation of Fermion pairs. <i>Letters in Mathematical Physics</i>.
    Springer. <a href="https://doi.org/10.1007/s11005-011-0535-4">https://doi.org/10.1007/s11005-011-0535-4</a>
  chicago: Hainzl, Christian, and Robert Seiringer. “Low Density Limit of BCS Theory
    and Bose-Einstein Condensation of Fermion Pairs.” <i>Letters in Mathematical Physics</i>.
    Springer, 2012. <a href="https://doi.org/10.1007/s11005-011-0535-4">https://doi.org/10.1007/s11005-011-0535-4</a>.
  ieee: C. Hainzl and R. Seiringer, “Low density limit of BCS theory and Bose-Einstein
    condensation of Fermion pairs,” <i>Letters in Mathematical Physics</i>, 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.” <i>Letters in Mathematical Physics</i>,
    vol. 100, no. 2, Springer, 2012, pp. 119–38, doi:<a href="https://doi.org/10.1007/s11005-011-0535-4">10.1007/s11005-011-0535-4</a>.
  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. <i>Reviews in Mathematical Physics</i>. 2012;24(6). doi:<a
    href="https://doi.org/10.1142/S0129055X12300026">10.1142/S0129055X12300026</a>
  apa: Jakšić, V., Ogata, Y., Pillet, C., &#38; Seiringer, R. (2012). Quantum hypothesis
    testing and non-equilibrium statistical mechanics. <i>Reviews in Mathematical
    Physics</i>. World Scientific Publishing. <a href="https://doi.org/10.1142/S0129055X12300026">https://doi.org/10.1142/S0129055X12300026</a>
  chicago: Jakšić, Vojkan, Yoshiko Ogata, Claude Pillet, and Robert Seiringer. “Quantum
    Hypothesis Testing and Non-Equilibrium Statistical Mechanics.” <i>Reviews in Mathematical
    Physics</i>. World Scientific Publishing, 2012. <a href="https://doi.org/10.1142/S0129055X12300026">https://doi.org/10.1142/S0129055X12300026</a>.
  ieee: V. Jakšić, Y. Ogata, C. Pillet, and R. Seiringer, “Quantum hypothesis testing
    and non-equilibrium statistical mechanics,” <i>Reviews in Mathematical Physics</i>,
    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.” <i>Reviews in Mathematical Physics</i>, vol. 24, no. 6, World Scientific
    Publishing, 2012, doi:<a href="https://doi.org/10.1142/S0129055X12300026">10.1142/S0129055X12300026</a>.
  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: '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. <i>Communications
    in Mathematical Physics</i>. 2012;313(2):405-424. doi:<a href="https://doi.org/10.1007/s00220-012-1436-9">10.1007/s00220-012-1436-9</a>
  apa: Frank, R., Lieb, É., &#38; Seiringer, R. (2012). Binding of polarons and atoms
    at threshold. <i>Communications in Mathematical Physics</i>. Springer. <a href="https://doi.org/10.1007/s00220-012-1436-9">https://doi.org/10.1007/s00220-012-1436-9</a>
  chicago: Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Binding of Polarons
    and Atoms at Threshold.” <i>Communications in Mathematical Physics</i>. Springer,
    2012. <a href="https://doi.org/10.1007/s00220-012-1436-9">https://doi.org/10.1007/s00220-012-1436-9</a>.
  ieee: R. Frank, É. Lieb, and R. Seiringer, “Binding of polarons and atoms at threshold,”
    <i>Communications in Mathematical Physics</i>, 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.” <i>Communications
    in Mathematical Physics</i>, vol. 313, no. 2, Springer, 2012, pp. 405–24, doi:<a
    href="https://doi.org/10.1007/s00220-012-1436-9">10.1007/s00220-012-1436-9</a>.
  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.
    <i>Journal of Statistical Physics</i>. 2012;149(1):86-91. doi:<a href="https://doi.org/10.1007/s10955-012-0585-8">10.1007/s10955-012-0585-8</a>
  apa: Lieb, É., &#38; Seiringer, R. (2012). Further implications of the Bessis-Moussa-Villani
    conjecture. <i>Journal of Statistical Physics</i>. Springer. <a href="https://doi.org/10.1007/s10955-012-0585-8">https://doi.org/10.1007/s10955-012-0585-8</a>
  chicago: Lieb, Élliott, and Robert Seiringer. “Further Implications of the Bessis-Moussa-Villani
    Conjecture.” <i>Journal of Statistical Physics</i>. Springer, 2012. <a href="https://doi.org/10.1007/s10955-012-0585-8">https://doi.org/10.1007/s10955-012-0585-8</a>.
  ieee: É. Lieb and R. Seiringer, “Further implications of the Bessis-Moussa-Villani
    conjecture,” <i>Journal of Statistical Physics</i>, 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.” <i>Journal of Statistical Physics</i>, vol. 149, no. 1, Springer,
    2012, pp. 86–91, doi:<a href="https://doi.org/10.1007/s10955-012-0585-8">10.1007/s10955-012-0585-8</a>.
  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. <i>Journal of Mathematical Physics</i>. 2012;53(9). doi:<a
    href="https://doi.org/10.1063/1.3697416">10.1063/1.3697416</a>
  apa: Frank, R., &#38; Seiringer, R. (2012). Lieb-Thirring inequality for a model
    of particles with point interactions. <i>Journal of Mathematical Physics</i>.
    American Institute of Physics. <a href="https://doi.org/10.1063/1.3697416">https://doi.org/10.1063/1.3697416</a>
  chicago: Frank, Rupert, and Robert Seiringer. “Lieb-Thirring Inequality for a Model
    of Particles with Point Interactions.” <i>Journal of Mathematical Physics</i>.
    American Institute of Physics, 2012. <a href="https://doi.org/10.1063/1.3697416">https://doi.org/10.1063/1.3697416</a>.
  ieee: R. Frank and R. Seiringer, “Lieb-Thirring inequality for a model of particles
    with point interactions,” <i>Journal of Mathematical Physics</i>, 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.” <i>Journal of Mathematical Physics</i>,
    vol. 53, no. 9, American Institute of Physics, 2012, doi:<a href="https://doi.org/10.1063/1.3697416">10.1063/1.3697416</a>.
  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. <i>Journal of Statistical Mechanics Theory
    and Experiment</i>. 2012;2012(11). doi:<a href="https://doi.org/10.1088/1742-5468/2012/11/P11007">10.1088/1742-5468/2012/11/P11007</a>
  apa: Seiringer, R., Yngvason, J., &#38; Zagrebnov, V. (2012). Disordered Bose-Einstein
    condensates with interaction in one dimension. <i>Journal of Statistical Mechanics
    Theory and Experiment</i>. IOP Publishing Ltd. <a href="https://doi.org/10.1088/1742-5468/2012/11/P11007">https://doi.org/10.1088/1742-5468/2012/11/P11007</a>
  chicago: Seiringer, Robert, Jakob Yngvason, and Valentin Zagrebnov. “Disordered
    Bose-Einstein Condensates with Interaction in One Dimension.” <i>Journal of Statistical
    Mechanics Theory and Experiment</i>. IOP Publishing Ltd., 2012. <a href="https://doi.org/10.1088/1742-5468/2012/11/P11007">https://doi.org/10.1088/1742-5468/2012/11/P11007</a>.
  ieee: R. Seiringer, J. Yngvason, and V. Zagrebnov, “Disordered Bose-Einstein condensates
    with interaction in one dimension,” <i>Journal of Statistical Mechanics Theory
    and Experiment</i>, 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.” <i>Journal of Statistical Mechanics Theory and Experiment</i>,
    vol. 2012, no. 11, IOP Publishing Ltd., 2012, doi:<a href="https://doi.org/10.1088/1742-5468/2012/11/P11007">10.1088/1742-5468/2012/11/P11007</a>.
  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'
...
---
_id: '2411'
abstract:
- lang: eng
  text: The kingdom of fungi provides model organisms for biotechnology, cell biology,
    genetics, and life sciences in general. Only when their phylogenetic relationships
    are stably resolved, can individual results from fungal research be integrated
    into a holistic picture of biology. However, and despite recent progress, many
    deep relationships within the fungi remain unclear. Here, we present the first
    phylogenomic study of an entire eukaryotic kingdom that uses a consistency criterion
    to strengthen phylogenetic conclusions. We reason that branches (splits) recovered
    with independent data and different tree reconstruction methods are likely to
    reflect true evolutionary relationships. Two complementary phylogenomic data sets
    based on 99 fungal genomes and 109 fungal expressed sequence tag (EST) sets analyzed
    with four different tree reconstruction methods shed light from different angles
    on the fungal tree of life. Eleven additional data sets address specifically the
    phylogenetic position of Blastocladiomycota, Ustilaginomycotina, and Dothideomycetes,
    respectively. The combined evidence from the resulting trees supports the deep-level
    stability of the fungal groups toward a comprehensive natural system of the fungi.
    In addition, our analysis reveals methodologically interesting aspects. Enrichment
    for EST encoded data-a common practice in phylogenomic analyses-introduces a strong
    bias toward slowly evolving and functionally correlated genes. Consequently, the
    generalization of phylogenomic data sets as collections of randomly selected genes
    cannot be taken for granted. A thorough characterization of the data to assess
    possible influences on the tree reconstruction should therefore become a standard
    in phylogenomic analyses.
author:
- first_name: Ingo
  full_name: Ebersberger, Ingo
  last_name: Ebersberger
- first_name: Ricardo
  full_name: De Matos Simoes, Ricardo
  last_name: De Matos Simoes
- first_name: Anne
  full_name: Kupczok, Anne
  id: 2BB22BC2-F248-11E8-B48F-1D18A9856A87
  last_name: Kupczok
- first_name: Matthias
  full_name: Gube, Matthias
  last_name: Gube
- first_name: Erika
  full_name: Kothe, Erika
  last_name: Kothe
- first_name: Kerstin
  full_name: Voigt, Kerstin
  last_name: Voigt
- first_name: Arndt
  full_name: Von Haeseler, Arndt
  last_name: Von Haeseler
citation:
  ama: Ebersberger I, De Matos Simoes R, Kupczok A, et al. A consistent phylogenetic
    backbone for the fungi. <i>Molecular Biology and Evolution</i>. 2012;29(5):1319-1334.
    doi:<a href="https://doi.org/10.1093/molbev/msr285">10.1093/molbev/msr285</a>
  apa: Ebersberger, I., De Matos Simoes, R., Kupczok, A., Gube, M., Kothe, E., Voigt,
    K., &#38; Von Haeseler, A. (2012). A consistent phylogenetic backbone for the
    fungi. <i>Molecular Biology and Evolution</i>. Oxford University Press. <a href="https://doi.org/10.1093/molbev/msr285">https://doi.org/10.1093/molbev/msr285</a>
  chicago: Ebersberger, Ingo, Ricardo De Matos Simoes, Anne Kupczok, Matthias Gube,
    Erika Kothe, Kerstin Voigt, and Arndt Von Haeseler. “A Consistent Phylogenetic
    Backbone for the Fungi.” <i>Molecular Biology and Evolution</i>. Oxford University
    Press, 2012. <a href="https://doi.org/10.1093/molbev/msr285">https://doi.org/10.1093/molbev/msr285</a>.
  ieee: I. Ebersberger <i>et al.</i>, “A consistent phylogenetic backbone for the
    fungi,” <i>Molecular Biology and Evolution</i>, vol. 29, no. 5. Oxford University
    Press, pp. 1319–1334, 2012.
  ista: Ebersberger I, De Matos Simoes R, Kupczok A, Gube M, Kothe E, Voigt K, Von
    Haeseler A. 2012. A consistent phylogenetic backbone for the fungi. Molecular
    Biology and Evolution. 29(5), 1319–1334.
  mla: Ebersberger, Ingo, et al. “A Consistent Phylogenetic Backbone for the Fungi.”
    <i>Molecular Biology and Evolution</i>, vol. 29, no. 5, Oxford University Press,
    2012, pp. 1319–34, doi:<a href="https://doi.org/10.1093/molbev/msr285">10.1093/molbev/msr285</a>.
  short: I. Ebersberger, R. De Matos Simoes, A. Kupczok, M. Gube, E. Kothe, K. Voigt,
    A. Von Haeseler, Molecular Biology and Evolution 29 (2012) 1319–1334.
date_created: 2018-12-11T11:57:30Z
date_published: 2012-05-01T00:00:00Z
date_updated: 2021-01-12T06:57:19Z
day: '01'
ddc:
- '570'
- '576'
department:
- _id: JoBo
doi: 10.1093/molbev/msr285
file:
- access_level: open_access
  checksum: d565dcac27d1736c0c378ea6fcf22d69
  content_type: application/pdf
  creator: system
  date_created: 2018-12-12T10:13:30Z
  date_updated: 2020-07-14T12:45:40Z
  file_id: '5013'
  file_name: IST-2015-384-v1+1_Mol_Biol_Evol-2012-Ebersberger-1319-34.pdf
  file_size: 754922
  relation: main_file
file_date_updated: 2020-07-14T12:45:40Z
has_accepted_license: '1'
intvolume: '        29'
issue: '5'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc/4.0/
month: '05'
oa: 1
oa_version: Published Version
page: 1319 - 1334
publication: Molecular Biology and Evolution
publication_status: published
publisher: Oxford University Press
publist_id: '4515'
pubrep_id: '384'
quality_controlled: '1'
scopus_import: 1
status: public
title: A consistent phylogenetic backbone for the fungi
tmp:
  image: /images/cc_by_nc.png
  legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
  short: CC BY-NC (4.0)
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 29
year: '2012'
...
---
_id: '242'
abstract:
- lang: eng
  text: We investigate the first and second moments of shifted convolutions of the
    generalized divisor function d 3(n).
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
- first_name: Gihan
  full_name: Marasingha, Gihan
  last_name: Marasingha
- first_name: Liangyi
  full_name: Zhao, Liangyi
  last_name: Zhao
citation:
  ama: Baier S, Browning TD, Marasingha G, Zhao L. Averages of shifted convolutions
    of d3 (n). <i>Proceedings of the Edinburgh Mathematical Society</i>. 2012;55(3):551-576.
    doi:<a href="https://doi.org/10.1017/S001309151100037X">10.1017/S001309151100037X</a>
  apa: Baier, S., Browning, T. D., Marasingha, G., &#38; Zhao, L. (2012). Averages
    of shifted convolutions of d3 (n). <i>Proceedings of the Edinburgh Mathematical
    Society</i>. Cambridge University Press. <a href="https://doi.org/10.1017/S001309151100037X">https://doi.org/10.1017/S001309151100037X</a>
  chicago: Baier, Stephan, Timothy D Browning, Gihan Marasingha, and Liangyi Zhao.
    “Averages of Shifted Convolutions of D3 (N).” <i>Proceedings of the Edinburgh
    Mathematical Society</i>. Cambridge University Press, 2012. <a href="https://doi.org/10.1017/S001309151100037X">https://doi.org/10.1017/S001309151100037X</a>.
  ieee: S. Baier, T. D. Browning, G. Marasingha, and L. Zhao, “Averages of shifted
    convolutions of d3 (n),” <i>Proceedings of the Edinburgh Mathematical Society</i>,
    vol. 55, no. 3. Cambridge University Press, pp. 551–576, 2012.
  ista: Baier S, Browning TD, Marasingha G, Zhao L. 2012. Averages of shifted convolutions
    of d3 (n). Proceedings of the Edinburgh Mathematical Society. 55(3), 551–576.
  mla: Baier, Stephan, et al. “Averages of Shifted Convolutions of D3 (N).” <i>Proceedings
    of the Edinburgh Mathematical Society</i>, vol. 55, no. 3, Cambridge University
    Press, 2012, pp. 551–76, doi:<a href="https://doi.org/10.1017/S001309151100037X">10.1017/S001309151100037X</a>.
  short: S. Baier, T.D. Browning, G. Marasingha, L. Zhao, Proceedings of the Edinburgh
    Mathematical Society 55 (2012) 551–576.
date_created: 2018-12-11T11:45:23Z
date_published: 2012-10-01T00:00:00Z
date_updated: 2021-01-12T06:57:23Z
day: '01'
doi: 10.1017/S001309151100037X
extern: 1
intvolume: '        55'
issue: '3'
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1101.5464
month: '10'
oa: 1
page: 551 - 576
publication: Proceedings of the Edinburgh Mathematical Society
publication_status: published
publisher: Cambridge University Press
publist_id: '7662'
quality_controlled: 0
status: public
title: Averages of shifted convolutions of d3 (n)
type: journal_article
volume: 55
year: '2012'
...
---
_id: '244'
abstract:
- lang: eng
  text: We investigate the solubility of the congruence xy ≡ 1 (mod p), where p is
    a prime and x, y are restricted to lie in suitable short intervals. Our work relies
    on a mean value theorem for incomplete Kloosterman sums.
acknowledgement: "EP/E053262/1\tEngineering and Physical Sciences Research Council\tEPSRC,\nEP/J00149X/1\tEngineering
  and Physical Sciences Research Council\tEPSRC\t"
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: Alan
  full_name: Haynes, Alan K
  last_name: Haynes
citation:
  ama: Browning TD, Haynes A. Incomplete kloosterman sums and multiplicative inverses
    in short intervals. <i>International Journal of Number Theory</i>. 2012;9(2):481-486.
    doi:<a href="https://doi.org/ https://doi.org/10.1142/S1793042112501448"> https://doi.org/10.1142/S1793042112501448</a>
  apa: Browning, T. D., &#38; Haynes, A. (2012). Incomplete kloosterman sums and multiplicative
    inverses in short intervals. <i>International Journal of Number Theory</i>. World
    Scientific Publishing. <a href="https://doi.org/ https://doi.org/10.1142/S1793042112501448">https://doi.org/
    https://doi.org/10.1142/S1793042112501448</a>
  chicago: Browning, Timothy D, and Alan Haynes. “Incomplete Kloosterman Sums and
    Multiplicative Inverses in Short Intervals.” <i>International Journal of Number
    Theory</i>. World Scientific Publishing, 2012. <a href="https://doi.org/ https://doi.org/10.1142/S1793042112501448">https://doi.org/
    https://doi.org/10.1142/S1793042112501448</a>.
  ieee: T. D. Browning and A. Haynes, “Incomplete kloosterman sums and multiplicative
    inverses in short intervals,” <i>International Journal of Number Theory</i>, vol.
    9, no. 2. World Scientific Publishing, pp. 481–486, 2012.
  ista: Browning TD, Haynes A. 2012. Incomplete kloosterman sums and multiplicative
    inverses in short intervals. International Journal of Number Theory. 9(2), 481–486.
  mla: Browning, Timothy D., and Alan Haynes. “Incomplete Kloosterman Sums and Multiplicative
    Inverses in Short Intervals.” <i>International Journal of Number Theory</i>, vol.
    9, no. 2, World Scientific Publishing, 2012, pp. 481–86, doi:<a href="https://doi.org/
    https://doi.org/10.1142/S1793042112501448"> https://doi.org/10.1142/S1793042112501448</a>.
  short: T.D. Browning, A. Haynes, International Journal of Number Theory 9 (2012)
    481–486.
date_created: 2018-12-11T11:45:24Z
date_published: 2012-11-30T00:00:00Z
date_updated: 2021-01-12T06:57:30Z
day: '30'
doi: ' https://doi.org/10.1142/S1793042112501448'
extern: 1
intvolume: '         9'
issue: '2'
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1204.6374
month: '11'
oa: 1
page: 481 - 486
publication: International Journal of Number Theory
publication_status: published
publisher: World Scientific Publishing
publist_id: '7660'
quality_controlled: 0
status: public
title: Incomplete kloosterman sums and multiplicative inverses in short intervals
type: journal_article
volume: 9
year: '2012'
...
---
_id: '2459'
abstract:
- lang: eng
  text: Coordinated, subcellular trafficking of proteins is one of the fundamental
    properties of the multicellular eukaryotic organisms. Trafficking involves a large
    diversity of compartments, pathways, cargo molecules, and vesicle-sorting events.
    It is also crucial in regulating the localization and, thus, the activity of various
    proteins, but the process is still poorly genetically defined in plants. In the
    past, forward genetics screens had been used to determine the function of genes
    by searching for a specific morphological phenotype in the organism population
    in which mutations had been induced chemically or by irradiation. Unfortunately,
    these straightforward genetic screens turned out to be limited in identifying
    new regulators of intracellular protein transport, because mutations affecting
    essential trafficking pathways often lead to lethality. In addition, the use of
    these approaches has been restricted by functional redundancy among trafficking
    regulators. Screens for mutants that rely on the observation of changes in the
    cellular localization or dynamics of fluorescent subcellular markers enable, at
    least partially, to circumvent these issues. Hence, such image-based screens provide
    the possibility to identify either alleles with weak effects or components of
    the subcellular trafficking machinery that have no strong impact on the plant
    growth.
article_number: '97'
author:
- first_name: Marta
  full_name: Zwiewka, Marta
  last_name: Zwiewka
- first_name: Jirí
  full_name: Friml, Jirí
  id: 4159519E-F248-11E8-B48F-1D18A9856A87
  last_name: Friml
  orcid: 0000-0002-8302-7596
citation:
  ama: Zwiewka M, Friml J. Fluorescence imaging-based forward genetic screens to identify
    trafficking regulators in plants. <i>Frontiers in Plant Science</i>. 2012;3(May).
    doi:<a href="https://doi.org/10.3389/fpls.2012.00097">10.3389/fpls.2012.00097</a>
  apa: Zwiewka, M., &#38; Friml, J. (2012). Fluorescence imaging-based forward genetic
    screens to identify trafficking regulators in plants. <i>Frontiers in Plant Science</i>.
    Frontiers Research Foundation. <a href="https://doi.org/10.3389/fpls.2012.00097">https://doi.org/10.3389/fpls.2012.00097</a>
  chicago: Zwiewka, Marta, and Jiří Friml. “Fluorescence Imaging-Based Forward Genetic
    Screens to Identify Trafficking Regulators in Plants.” <i>Frontiers in Plant Science</i>.
    Frontiers Research Foundation, 2012. <a href="https://doi.org/10.3389/fpls.2012.00097">https://doi.org/10.3389/fpls.2012.00097</a>.
  ieee: M. Zwiewka and J. Friml, “Fluorescence imaging-based forward genetic screens
    to identify trafficking regulators in plants,” <i>Frontiers in Plant Science</i>,
    vol. 3, no. May. Frontiers Research Foundation, 2012.
  ista: Zwiewka M, Friml J. 2012. Fluorescence imaging-based forward genetic screens
    to identify trafficking regulators in plants. Frontiers in Plant Science. 3(May),
    97.
  mla: Zwiewka, Marta, and Jiří Friml. “Fluorescence Imaging-Based Forward Genetic
    Screens to Identify Trafficking Regulators in Plants.” <i>Frontiers in Plant Science</i>,
    vol. 3, no. May, 97, Frontiers Research Foundation, 2012, doi:<a href="https://doi.org/10.3389/fpls.2012.00097">10.3389/fpls.2012.00097</a>.
  short: M. Zwiewka, J. Friml, Frontiers in Plant Science 3 (2012).
date_created: 2018-12-11T11:57:47Z
date_published: 2012-05-24T00:00:00Z
date_updated: 2021-01-12T06:57:36Z
day: '24'
ddc:
- '580'
doi: 10.3389/fpls.2012.00097
extern: '1'
file:
- access_level: open_access
  checksum: ab4e9487ccdb83a7a0a9ee6811521844
  content_type: application/pdf
  creator: kschuh
  date_created: 2019-04-26T06:49:26Z
  date_updated: 2020-07-14T12:45:41Z
  file_id: '6346'
  file_name: 2012_frontiers_Zwiewka.pdf
  file_size: 1468230
  relation: main_file
file_date_updated: 2020-07-14T12:45:41Z
has_accepted_license: '1'
intvolume: '         3'
issue: May
language:
- iso: eng
month: '05'
oa: 1
oa_version: Published Version
publication: Frontiers in Plant Science
publication_status: published
publisher: Frontiers Research Foundation
publist_id: '4444'
quality_controlled: '1'
status: public
title: Fluorescence imaging-based forward genetic screens to identify trafficking
  regulators in plants
tmp:
  image: /images/cc_by_nc.png
  legal_code_url: https://creativecommons.org/licenses/by-nc/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0)
  short: CC BY-NC (4.0)
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 3
year: '2012'
...
---
_id: '2696'
author:
- first_name: László
  full_name: László Erdös
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
citation:
  ama: Erdös L. Universality for random matrices and log-gases. <i>ArXiv</i>. 2012.
  apa: Erdös, L. (2012). Universality for random matrices and log-gases. <i>ArXiv</i>.
    ArXiv.
  chicago: Erdös, László. “Universality for Random Matrices and Log-Gases.” <i>ArXiv</i>.
    ArXiv, 2012.
  ieee: L. Erdös, “Universality for random matrices and log-gases,” <i>ArXiv</i>.
    ArXiv, 2012.
  ista: Erdös L. 2012. Universality for random matrices and log-gases. ArXiv, .
  mla: Erdös, László. “Universality for Random Matrices and Log-Gases.” <i>ArXiv</i>,
    ArXiv, 2012.
  short: L. Erdös, ArXiv (2012).
date_created: 2018-12-11T11:59:07Z
date_published: 2012-12-04T00:00:00Z
date_updated: 2021-01-12T06:59:06Z
day: '04'
extern: 1
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1212.0839
month: '12'
oa: 1
publication: ArXiv
publication_status: published
publisher: ArXiv
publist_id: '4201'
quality_controlled: 0
status: public
title: Universality for random matrices and log-gases
type: preprint
year: '2012'
...
---
_id: '2700'
alternative_title:
- Quantum Theory from Small to Large Scales
author:
- first_name: László
  full_name: László Erdös
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
citation:
  ama: 'Erdös L. Lecture notes on quantum Brownian motion. In: Vol 95. Oxford University
    Press; 2012:3-98.'
  apa: Erdös, L. (2012). Lecture notes on quantum Brownian motion (Vol. 95, pp. 3–98).
    Presented at the Les Houches Summer School 2010, Oxford University Press.
  chicago: Erdös, László. “Lecture Notes on Quantum Brownian Motion,” 95:3–98. Oxford
    University Press, 2012.
  ieee: L. Erdös, “Lecture notes on quantum Brownian motion,” presented at the Les
    Houches Summer School 2010, 2012, vol. 95, pp. 3–98.
  ista: Erdös L. 2012. Lecture notes on quantum Brownian motion. Les Houches Summer
    School 2010, Quantum Theory from Small to Large Scales, vol. 95, 3–98.
  mla: Erdös, László. <i>Lecture Notes on Quantum Brownian Motion</i>. Vol. 95, Oxford
    University Press, 2012, pp. 3–98.
  short: L. Erdös, in:, Oxford University Press, 2012, pp. 3–98.
conference:
  name: Les Houches Summer School 2010
date_created: 2018-12-11T11:59:08Z
date_published: 2012-05-24T00:00:00Z
date_updated: 2021-01-12T06:59:08Z
day: '24'
extern: 1
intvolume: '        95'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1009.0843
month: '05'
oa: 1
page: 3 - 98
publication_status: published
publisher: Oxford University Press
publist_id: '4196'
quality_controlled: 0
status: public
title: Lecture notes on quantum Brownian motion
type: conference
volume: 95
year: '2012'
...
---
_id: '2715'
abstract:
- lang: eng
  text: 'We consider Markov decision processes (MDPs) with specifications given as
    Büchi (liveness) objectives. We consider the problem of computing the set of almost-sure
    winning vertices from where the objective can be ensured with probability 1. We
    study for the first time the average case complexity of the classical algorithm
    for computing the set of almost-sure winning vertices for MDPs with Büchi objectives.
    Our contributions are as follows: First, we show that for MDPs with constant out-degree
    the expected number of iterations is at most logarithmic and the average case
    running time is linear (as compared to the worst case linear number of iterations
    and quadratic time complexity). Second, for the average case analysis over all
    MDPs we show that the expected number of iterations is constant and the average
    case running time is linear (again as compared to the worst case linear number
    of iterations and quadratic time complexity). Finally we also show that given
    that all MDPs are equally likely, the probability that the classical algorithm
    requires more than constant number of iterations is exponentially small.'
alternative_title:
- LIPIcs
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Manas
  full_name: Joglekar, Manas
  last_name: Joglekar
- first_name: Nisarg
  full_name: Shah, Nisarg
  last_name: Shah
citation:
  ama: 'Chatterjee K, Joglekar M, Shah N. Average case analysis of the classical algorithm
    for Markov decision processes with Büchi objectives. In: Vol 18. Schloss Dagstuhl
    - Leibniz-Zentrum für Informatik; 2012:461-473. doi:<a href="https://doi.org/10.4230/LIPIcs.FSTTCS.2012.461">10.4230/LIPIcs.FSTTCS.2012.461</a>'
  apa: 'Chatterjee, K., Joglekar, M., &#38; Shah, N. (2012). Average case analysis
    of the classical algorithm for Markov decision processes with Büchi objectives
    (Vol. 18, pp. 461–473). Presented at the FSTTCS: Foundations of Software Technology
    and Theoretical Computer Science, Hyderabad, India: Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik. <a href="https://doi.org/10.4230/LIPIcs.FSTTCS.2012.461">https://doi.org/10.4230/LIPIcs.FSTTCS.2012.461</a>'
  chicago: Chatterjee, Krishnendu, Manas Joglekar, and Nisarg Shah. “Average Case
    Analysis of the Classical Algorithm for Markov Decision Processes with Büchi Objectives,”
    18:461–73. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2012. <a href="https://doi.org/10.4230/LIPIcs.FSTTCS.2012.461">https://doi.org/10.4230/LIPIcs.FSTTCS.2012.461</a>.
  ieee: 'K. Chatterjee, M. Joglekar, and N. Shah, “Average case analysis of the classical
    algorithm for Markov decision processes with Büchi objectives,” presented at the
    FSTTCS: Foundations of Software Technology and Theoretical Computer Science, Hyderabad,
    India, 2012, vol. 18, pp. 461–473.'
  ista: 'Chatterjee K, Joglekar M, Shah N. 2012. Average case analysis of the classical
    algorithm for Markov decision processes with Büchi objectives. FSTTCS: Foundations
    of Software Technology and Theoretical Computer Science, LIPIcs, vol. 18, 461–473.'
  mla: Chatterjee, Krishnendu, et al. <i>Average Case Analysis of the Classical Algorithm
    for Markov Decision Processes with Büchi Objectives</i>. Vol. 18, Schloss Dagstuhl
    - Leibniz-Zentrum für Informatik, 2012, pp. 461–73, doi:<a href="https://doi.org/10.4230/LIPIcs.FSTTCS.2012.461">10.4230/LIPIcs.FSTTCS.2012.461</a>.
  short: K. Chatterjee, M. Joglekar, N. Shah, in:, Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2012, pp. 461–473.
conference:
  end_date: 2012-12-17
  location: Hyderabad, India
  name: 'FSTTCS: Foundations of Software Technology and Theoretical Computer Science'
  start_date: 2012-12-15
date_created: 2018-12-11T11:59:13Z
date_published: 2012-12-10T00:00:00Z
date_updated: 2023-02-23T10:06:04Z
day: '10'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.FSTTCS.2012.461
ec_funded: 1
file:
- access_level: open_access
  checksum: d4d644ed1a885dbfc4fa1ef4c5724dab
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  date_created: 2018-12-12T10:13:53Z
  date_updated: 2020-07-14T12:45:45Z
  file_id: '5040'
  file_name: IST-2016-525-v1+1_42_1_.pdf
  file_size: 519040
  relation: main_file
file_date_updated: 2020-07-14T12:45:45Z
has_accepted_license: '1'
intvolume: '        18'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-nc-nd/4.0/
month: '12'
oa: 1
oa_version: Published Version
page: 461 - 473
project:
- _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_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '4180'
pubrep_id: '525'
quality_controlled: '1'
related_material:
  record:
  - id: '1598'
    relation: later_version
    status: public
scopus_import: 1
status: public
title: Average case analysis of the classical algorithm for Markov decision processes
  with Büchi objectives
tmp:
  image: /images/cc_by_nc_nd.png
  legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
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  short: CC BY-NC-ND (4.0)
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 18
year: '2012'
...
---
_id: '2848'
abstract:
- lang: eng
  text: We study evolutionary game theory in a setting where individuals learn from
    each other. We extend the traditional approach by assuming that a population contains
    individuals with different learning abilities. In particular, we explore the situation
    where individuals have different search spaces, when attempting to learn the strategies
    of others. The search space of an individual specifies the set of strategies learnable
    by that individual. The search space is genetically given and does not change
    under social evolutionary dynamics. We introduce a general framework and study
    a specific example in the context of direct reciprocity. For this example, we
    obtain the counter intuitive result that cooperation can only evolve for intermediate
    benefit-to-cost ratios, while small and large benefit-to-cost ratios favor defection.
    Our paper is a step toward making a connection between computational learning
    theory and evolutionary game dynamics.
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Damien
  full_name: Zufferey, Damien
  id: 4397AC76-F248-11E8-B48F-1D18A9856A87
  last_name: Zufferey
  orcid: 0000-0002-3197-8736
- first_name: Martin
  full_name: Nowak, Martin
  last_name: Nowak
citation:
  ama: Chatterjee K, Zufferey D, Nowak M. Evolutionary game dynamics in populations
    with different learners. <i>Journal of Theoretical Biology</i>. 2012;301:161-173.
    doi:<a href="https://doi.org/10.1016/j.jtbi.2012.02.021">10.1016/j.jtbi.2012.02.021</a>
  apa: Chatterjee, K., Zufferey, D., &#38; Nowak, M. (2012). Evolutionary game dynamics
    in populations with different learners. <i>Journal of Theoretical Biology</i>.
    Elsevier. <a href="https://doi.org/10.1016/j.jtbi.2012.02.021">https://doi.org/10.1016/j.jtbi.2012.02.021</a>
  chicago: Chatterjee, Krishnendu, Damien Zufferey, and Martin Nowak. “Evolutionary
    Game Dynamics in Populations with Different Learners.” <i>Journal of Theoretical
    Biology</i>. Elsevier, 2012. <a href="https://doi.org/10.1016/j.jtbi.2012.02.021">https://doi.org/10.1016/j.jtbi.2012.02.021</a>.
  ieee: K. Chatterjee, D. Zufferey, and M. Nowak, “Evolutionary game dynamics in populations
    with different learners,” <i>Journal of Theoretical Biology</i>, vol. 301. Elsevier,
    pp. 161–173, 2012.
  ista: Chatterjee K, Zufferey D, Nowak M. 2012. Evolutionary game dynamics in populations
    with different learners. Journal of Theoretical Biology. 301, 161–173.
  mla: Chatterjee, Krishnendu, et al. “Evolutionary Game Dynamics in Populations with
    Different Learners.” <i>Journal of Theoretical Biology</i>, vol. 301, Elsevier,
    2012, pp. 161–73, doi:<a href="https://doi.org/10.1016/j.jtbi.2012.02.021">10.1016/j.jtbi.2012.02.021</a>.
  short: K. Chatterjee, D. Zufferey, M. Nowak, Journal of Theoretical Biology 301
    (2012) 161–173.
date_created: 2018-12-11T11:59:55Z
date_published: 2012-05-21T00:00:00Z
date_updated: 2021-01-12T07:00:12Z
day: '21'
department:
- _id: KrCh
- _id: ToHe
doi: 10.1016/j.jtbi.2012.02.021
ec_funded: 1
external_id:
  pmid:
  - '22394652'
intvolume: '       301'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3322297/
month: '05'
oa: 1
oa_version: Submitted Version
page: 161 - 173
pmid: 1
project:
- _id: 2581B60A-B435-11E9-9278-68D0E5697425
  call_identifier: FP7
  grant_number: '279307'
  name: 'Quantitative Graph Games: Theory and Applications'
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: S 11407_N23
  name: Rigorous Systems Engineering
- _id: 2584A770-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: P 23499-N23
  name: Modern Graph Algorithmic Techniques in Formal Verification
- _id: 2587B514-B435-11E9-9278-68D0E5697425
  name: Microsoft Research Faculty Fellowship
publication: Journal of Theoretical Biology
publication_status: published
publisher: Elsevier
publist_id: '3946'
quality_controlled: '1'
scopus_import: 1
status: public
title: Evolutionary game dynamics in populations with different learners
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 301
year: '2012'
...
