---
_id: '3742'
abstract:
- lang: eng
  text: 'Recent work has shown that probabilistic models based on pairwise interactions-in
    the simplest case, the Ising model-provide surprisingly accurate descriptions
    of experiments on real biological networks ranging from neurons to genes. Finding
    these models requires us to solve an inverse problem: given experimentally measured
    expectation values, what are the parameters of the underlying Hamiltonian? This
    problem sits at the intersection of statistical physics and machine learning,
    and we suggest that more efficient solutions are possible by merging ideas from
    the two fields. We use a combination of recent coordinate descent algorithms with
    an adaptation of the histogram Monte Carlo method, and implement these techniques
    to take advantage of the sparseness found in data on real neurons. The resulting
    algorithm learns the parameters of an Ising model describing a network of forty
    neurons within a few minutes. This opens the possibility of analyzing much larger
    data sets now emerging, and thus testing hypotheses about the collective behaviors
    of these networks.'
author:
- first_name: Tamara
  full_name: Broderick,Tamara
  last_name: Broderick
- first_name: Miroslav
  full_name: Dudik,Miroslav
  last_name: Dudik
- first_name: Gasper
  full_name: Gasper Tkacik
  id: 3D494DCA-F248-11E8-B48F-1D18A9856A87
  last_name: Tkacik
  orcid: 0000-0002-6699-1455
- first_name: Robert
  full_name: Schapire,Robert E
  last_name: Schapire
- first_name: William
  full_name: Bialek, William S
  last_name: Bialek
citation:
  ama: Broderick T, Dudik M, Tkačik G, Schapire R, Bialek W. Faster solutions of the
    inverse pairwise Ising problem. <i>ArXiv</i>. 2007;q-QM.
  apa: Broderick, T., Dudik, M., Tkačik, G., Schapire, R., &#38; Bialek, W. (2007).
    Faster solutions of the inverse pairwise Ising problem. <i>ArXiv</i>. ArXiv.
  chicago: Broderick, Tamara, Miroslav Dudik, Gašper Tkačik, Robert Schapire, and
    William Bialek. “Faster Solutions of the Inverse Pairwise Ising Problem.” <i>ArXiv</i>.
    ArXiv, 2007.
  ieee: T. Broderick, M. Dudik, G. Tkačik, R. Schapire, and W. Bialek, “Faster solutions
    of the inverse pairwise Ising problem,” <i>ArXiv</i>, vol. q-QM. ArXiv, 2007.
  ista: Broderick T, Dudik M, Tkačik G, Schapire R, Bialek W. 2007. Faster solutions
    of the inverse pairwise Ising problem. ArXiv, q-QM, .
  mla: Broderick, Tamara, et al. “Faster Solutions of the Inverse Pairwise Ising Problem.”
    <i>ArXiv</i>, vol. q-QM, ArXiv, 2007.
  short: T. Broderick, M. Dudik, G. Tkačik, R. Schapire, W. Bialek, ArXiv q-QM (2007).
date_created: 2018-12-11T12:04:55Z
date_published: 2007-01-01T00:00:00Z
date_updated: 2021-01-12T07:51:52Z
day: '01'
extern: 1
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/0712.2437v2
month: '01'
oa: 1
publication: ArXiv
publication_status: published
publisher: ArXiv
publist_id: '2486'
quality_controlled: 0
status: public
title: Faster solutions of the inverse pairwise Ising problem
type: preprint
volume: q-bio.QM
year: '2007'
...
---
_id: '4234'
abstract:
- lang: eng
  text: We study a generalised model of population growth in which the state variable
    is population growth rate instead of population size. Stochastic parametric perturbations,
    modelling phenotypic variability, lead to a Langevin system with two sources of
    multiplicative noise. The stationary probability distributions have two characteristic
    power-law scales. Numerical simulations show that noise suppresses the explosion
    of the growth rate which occurs in the deterministic counterpart. Instead, in
    different parameter regimes populations will grow with &quot;anomalous&quot; stochastic
    rates and (i) stabilise at &quot;random carrying capacities&quot;, or (ii) go
    extinct in random times. Using logistic fits to reconstruct the simulated data,
    we find that even highly significant estimations do not recover or reflect information
    about the deterministic part of the process. Therefore, the logistic interpretation
    is not biologically meaningful. These results have implications for distinct model-aided
    calculations in biological situations because these kinds of estimations could
    lead to spurious conclusions. (c) 2006 Elsevier B.V. All rights reserved.
article_processing_charge: No
arxiv: 1
author:
- first_name: Harold
  full_name: de Vladar, Harold
  id: 2A181218-F248-11E8-B48F-1D18A9856A87
  last_name: de Vladar
  orcid: 0000-0002-5985-7653
- first_name: I.
  full_name: Pen, I.
  last_name: Pen
citation:
  ama: de Vladar H, Pen I. Determinism, noise, and spurious estimations in a generalised
    model of population growth. <i>Physica A</i>. 2007;373:477-485. doi:<a href="https://doi.org/10.1016/j.physa.2006.06.025">10.1016/j.physa.2006.06.025</a>
  apa: de Vladar, H., &#38; Pen, I. (2007). Determinism, noise, and spurious estimations
    in a generalised model of population growth. <i>Physica A</i>. Elsevier. <a href="https://doi.org/10.1016/j.physa.2006.06.025">https://doi.org/10.1016/j.physa.2006.06.025</a>
  chicago: Vladar, Harold de, and I. Pen. “Determinism, Noise, and Spurious Estimations
    in a Generalised Model of Population Growth.” <i>Physica A</i>. Elsevier, 2007.
    <a href="https://doi.org/10.1016/j.physa.2006.06.025">https://doi.org/10.1016/j.physa.2006.06.025</a>.
  ieee: H. de Vladar and I. Pen, “Determinism, noise, and spurious estimations in
    a generalised model of population growth,” <i>Physica A</i>, vol. 373. Elsevier,
    pp. 477–485, 2007.
  ista: de Vladar H, Pen I. 2007. Determinism, noise, and spurious estimations in
    a generalised model of population growth. Physica A. 373, 477–485.
  mla: de Vladar, Harold, and I. Pen. “Determinism, Noise, and Spurious Estimations
    in a Generalised Model of Population Growth.” <i>Physica A</i>, vol. 373, Elsevier,
    2007, pp. 477–85, doi:<a href="https://doi.org/10.1016/j.physa.2006.06.025">10.1016/j.physa.2006.06.025</a>.
  short: H. de Vladar, I. Pen, Physica A 373 (2007) 477–485.
date_created: 2018-12-11T12:07:45Z
date_published: 2007-01-01T00:00:00Z
date_updated: 2021-01-12T07:55:30Z
day: '01'
doi: 10.1016/j.physa.2006.06.025
extern: '1'
external_id:
  arxiv:
  - abs/q-bio/0602018
intvolume: '       373'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/q-bio/0602018
month: '01'
oa: 1
oa_version: Preprint
page: 477 - 485
publication: Physica A
publication_status: published
publisher: Elsevier
publist_id: '1881'
status: public
title: Determinism, noise, and spurious estimations in a generalised model of population
  growth
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 373
year: '2007'
...
---
_id: '2091'
abstract:
- lang: eng
  text: 'We present a novel multi-scale representation and acquisition method for
    the animation of high-resolution facial geometry and wrinkles. We first acquire
    a static scan of the face including reflectance data at the highest possible quality.
    We then augment a traditional marker-based facial motion-capture system by two
    synchronized video cameras to track expression wrinkles. The resulting model consists
    of high-resolution geometry, motion-capture data, and expression wrinkles in 2D
    parametric form. This combination represents the facial shape and its salient
    features at multiple scales. During motion synthesis the motion-capture data deforms
    the high-resolution geometry using a linear shell-based mesh-deformation method.
    The wrinkle geometry is added to the facial base mesh using nonlinear energy optimization.
    We present the results of our approach for performance replay as well as for wrinkle
    editing. '
acknowledgement: This research has been supported by the NCCR Co-Me of the Swiss National
  Science Foundation.
author:
- first_name: Bernd
  full_name: Bernd Bickel
  id: 49876194-F248-11E8-B48F-1D18A9856A87
  last_name: Bickel
  orcid: 0000-0001-6511-9385
- first_name: Mario
  full_name: Botsch, Mario
  last_name: Botsch
- first_name: Roland
  full_name: Angst, Roland
  last_name: Angst
- first_name: Wojciech
  full_name: Matusik, Wojciech
  last_name: Matusik
- first_name: Miguel
  full_name: Otaduy, Miguel A
  last_name: Otaduy
- first_name: Hanspeter
  full_name: Pfister, Hanspeter
  last_name: Pfister
- first_name: Markus
  full_name: Groß, Markus S
  last_name: Groß
citation:
  ama: 'Bickel B, Botsch M, Angst R, et al. Multi scale capture of facial geometry
    and motion. In: ACM; 2007. doi:<a href="https://doi.org/doi:10.1145/1275808.1276419">doi:10.1145/1275808.1276419</a>'
  apa: 'Bickel, B., Botsch, M., Angst, R., Matusik, W., Otaduy, M., Pfister, H., &#38;
    Groß, M. (2007). Multi scale capture of facial geometry and motion. Presented
    at the SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques,
    ACM. <a href="https://doi.org/doi:10.1145/1275808.1276419">https://doi.org/doi:10.1145/1275808.1276419</a>'
  chicago: Bickel, Bernd, Mario Botsch, Roland Angst, Wojciech Matusik, Miguel Otaduy,
    Hanspeter Pfister, and Markus Groß. “Multi Scale Capture of Facial Geometry and
    Motion.” ACM, 2007. <a href="https://doi.org/doi:10.1145/1275808.1276419">https://doi.org/doi:10.1145/1275808.1276419</a>.
  ieee: 'B. Bickel <i>et al.</i>, “Multi scale capture of facial geometry and motion,”
    presented at the SIGGRAPH: Special Interest Group on Computer Graphics and Interactive
    Techniques, 2007.'
  ista: 'Bickel B, Botsch M, Angst R, Matusik W, Otaduy M, Pfister H, Groß M. 2007.
    Multi scale capture of facial geometry and motion. SIGGRAPH: Special Interest
    Group on Computer Graphics and Interactive Techniques.'
  mla: Bickel, Bernd, et al. <i>Multi Scale Capture of Facial Geometry and Motion</i>.
    ACM, 2007, doi:<a href="https://doi.org/doi:10.1145/1275808.1276419">doi:10.1145/1275808.1276419</a>.
  short: B. Bickel, M. Botsch, R. Angst, W. Matusik, M. Otaduy, H. Pfister, M. Groß,
    in:, ACM, 2007.
conference:
  name: 'SIGGRAPH: Special Interest Group on Computer Graphics and Interactive Techniques'
date_created: 2018-12-11T11:55:39Z
date_published: 2007-01-01T00:00:00Z
date_updated: 2021-01-12T06:55:15Z
day: '01'
doi: doi:10.1145/1275808.1276419
extern: 1
main_file_link:
- open_access: '1'
  url: http://nrs.harvard.edu/urn-3:HUL.InstRepos:4726184
month: '01'
oa: 1
publication_status: published
publisher: ACM
publist_id: '4942'
quality_controlled: 0
status: public
title: Multi scale capture of facial geometry and motion
type: conference
year: '2007'
...
---
_id: '2093'
abstract:
- lang: eng
  text: 'We present a novel multi-scale representation and acquisition method for
    the animation of high-resolution facial geometry and wrinkles. We first acquire
    a static scan of the face including reflectance data at the highest possible quality.
    We then augment a traditional marker-based facial motion-capture system by two
    synchronized video cameras to track expression wrinkles. The resulting model consists
    of high-resolution geometry, motion-capture data, and expression wrinkles in 2D
    parametric form. This combination represents the facial shape and its salient
    features at multiple scales. During motion synthesis the motion-capture data deforms
    the high-resolution geometry using a linear shell-based mesh-deformation method.
    The wrinkle geometry is added to the facial base mesh using nonlinear energy optimization.
    We present the results of our approach for performance replay as well as for wrinkle
    editing. '
acknowledgement: This research has been supported by the NCCR Co-Me of the Swiss National
  Science Foundation
author:
- first_name: Bernd
  full_name: Bernd Bickel
  id: 49876194-F248-11E8-B48F-1D18A9856A87
  last_name: Bickel
  orcid: 0000-0001-6511-9385
- first_name: Mario
  full_name: Botsch, Mario
  last_name: Botsch
- first_name: Roland
  full_name: Angst, Roland
  last_name: Angst
- first_name: Wojciech
  full_name: Matusik, Wojciech
  last_name: Matusik
- first_name: Miguel
  full_name: Otaduy, Miguel A
  last_name: Otaduy
- first_name: Hanspeter
  full_name: Pfister, Hanspeter
  last_name: Pfister
- first_name: Markus
  full_name: Groß, Markus S
  last_name: Groß
citation:
  ama: Bickel B, Botsch M, Angst R, et al. Multi scale capture of facial geometry
    and motion. <i>ACM Transactions on Graphics</i>. 2007;26(3). doi:<a href="https://doi.org/10.1145/1276377.1276419">10.1145/1276377.1276419</a>
  apa: Bickel, B., Botsch, M., Angst, R., Matusik, W., Otaduy, M., Pfister, H., &#38;
    Groß, M. (2007). Multi scale capture of facial geometry and motion. <i>ACM Transactions
    on Graphics</i>. ACM. <a href="https://doi.org/10.1145/1276377.1276419">https://doi.org/10.1145/1276377.1276419</a>
  chicago: Bickel, Bernd, Mario Botsch, Roland Angst, Wojciech Matusik, Miguel Otaduy,
    Hanspeter Pfister, and Markus Groß. “Multi Scale Capture of Facial Geometry and
    Motion.” <i>ACM Transactions on Graphics</i>. ACM, 2007. <a href="https://doi.org/10.1145/1276377.1276419">https://doi.org/10.1145/1276377.1276419</a>.
  ieee: B. Bickel <i>et al.</i>, “Multi scale capture of facial geometry and motion,”
    <i>ACM Transactions on Graphics</i>, vol. 26, no. 3. ACM, 2007.
  ista: Bickel B, Botsch M, Angst R, Matusik W, Otaduy M, Pfister H, Groß M. 2007.
    Multi scale capture of facial geometry and motion. ACM Transactions on Graphics.
    26(3).
  mla: Bickel, Bernd, et al. “Multi Scale Capture of Facial Geometry and Motion.”
    <i>ACM Transactions on Graphics</i>, vol. 26, no. 3, ACM, 2007, doi:<a href="https://doi.org/10.1145/1276377.1276419">10.1145/1276377.1276419</a>.
  short: B. Bickel, M. Botsch, R. Angst, W. Matusik, M. Otaduy, H. Pfister, M. Groß,
    ACM Transactions on Graphics 26 (2007).
date_created: 2018-12-11T11:55:40Z
date_published: 2007-01-01T00:00:00Z
date_updated: 2021-01-12T06:55:15Z
day: '01'
doi: 10.1145/1276377.1276419
extern: 1
intvolume: '        26'
issue: '3'
main_file_link:
- open_access: '1'
  url: http://nrs.harvard.edu/urn-3:HUL.InstRepos:4726184
month: '01'
oa: 1
publication: ACM Transactions on Graphics
publication_status: published
publisher: ACM
publist_id: '4944'
quality_controlled: 0
status: public
title: Multi scale capture of facial geometry and motion
type: journal_article
volume: 26
year: '2007'
...
---
_id: '2118'
abstract:
- lang: eng
  text: 'We extend to infinite dimensions an explicit formula of Chill, Fašangová,
    Metafune, and Pallara for the optimal angle of analyticity of analytic Ornstein-Uhlenbeck
    semigroups. The main ingredient is an abstract representation of the Ornstein-Uhlenbeck
    operator in divergence form. '
acknowledgement: The authors are supported by the ‘VIDI subsidie’ 639.032.201 of the
  Netherlands Organization for Scientific Research (NWO) and by the Research Training
  Network HPRN-CT-2002-00281.
author:
- first_name: Jan
  full_name: Jan Maas
  id: 4C5696CE-F248-11E8-B48F-1D18A9856A87
  last_name: Maas
  orcid: 0000-0002-0845-1338
- first_name: Jan
  full_name: van Neerven, Jan M
  last_name: Van Neerven
citation:
  ama: Maas J, Van Neerven J. On analytic Ornstein-Uhlenbeck semigroups in infinite
    dimensions. <i>Archiv der Mathematik</i>. 2007;89(3):226-236. doi:<a href="https://doi.org/10.1007/s00013-007-2082-x">10.1007/s00013-007-2082-x</a>
  apa: Maas, J., &#38; Van Neerven, J. (2007). On analytic Ornstein-Uhlenbeck semigroups
    in infinite dimensions. <i>Archiv Der Mathematik</i>. Birkhäuser. <a href="https://doi.org/10.1007/s00013-007-2082-x">https://doi.org/10.1007/s00013-007-2082-x</a>
  chicago: Maas, Jan, and Jan Van Neerven. “On Analytic Ornstein-Uhlenbeck Semigroups
    in Infinite Dimensions.” <i>Archiv Der Mathematik</i>. Birkhäuser, 2007. <a href="https://doi.org/10.1007/s00013-007-2082-x">https://doi.org/10.1007/s00013-007-2082-x</a>.
  ieee: J. Maas and J. Van Neerven, “On analytic Ornstein-Uhlenbeck semigroups in
    infinite dimensions,” <i>Archiv der Mathematik</i>, vol. 89, no. 3. Birkhäuser,
    pp. 226–236, 2007.
  ista: Maas J, Van Neerven J. 2007. On analytic Ornstein-Uhlenbeck semigroups in
    infinite dimensions. Archiv der Mathematik. 89(3), 226–236.
  mla: Maas, Jan, and Jan Van Neerven. “On Analytic Ornstein-Uhlenbeck Semigroups
    in Infinite Dimensions.” <i>Archiv Der Mathematik</i>, vol. 89, no. 3, Birkhäuser,
    2007, pp. 226–36, doi:<a href="https://doi.org/10.1007/s00013-007-2082-x">10.1007/s00013-007-2082-x</a>.
  short: J. Maas, J. Van Neerven, Archiv Der Mathematik 89 (2007) 226–236.
date_created: 2018-12-11T11:55:49Z
date_published: 2007-08-06T00:00:00Z
date_updated: 2021-01-12T06:55:25Z
day: '06'
doi: 10.1007/s00013-007-2082-x
extern: 1
intvolume: '        89'
issue: '3'
main_file_link:
- open_access: '1'
  url: http://repository.tudelft.nl/view/ir/uuid:c2cc3bd8-822b-4e72-ae42-1da0424e8a22/
month: '08'
oa: 1
page: 226 - 236
publication: Archiv der Mathematik
publication_status: published
publisher: Birkhäuser
publist_id: '4916'
quality_controlled: 0
status: public
title: On analytic Ornstein-Uhlenbeck semigroups in infinite dimensions
type: journal_article
volume: 89
year: '2007'
...
---
_id: '221'
arxiv: 1
author:
- first_name: Régis
  full_name: De La Bretèche, Régis
  last_name: De La Bretèche
- first_name: Timothy D
  full_name: Browning, Timothy D
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
citation:
  ama: De La Bretèche R, Browning TD. On Manin’s conjecture for singular del Pezzo
    surfaces of degree four, I. <i>Michigan Mathematical Journal</i>. 2007;55(1):51-80.
    doi:<a href="https://doi.org/10.1307/mmj/1177681985">10.1307/mmj/1177681985</a>
  apa: De La Bretèche, R., &#38; Browning, T. D. (2007). On Manin’s conjecture for
    singular del Pezzo surfaces of degree four, I. <i>Michigan Mathematical Journal</i>.
    Project Euclid. <a href="https://doi.org/10.1307/mmj/1177681985">https://doi.org/10.1307/mmj/1177681985</a>
  chicago: De La Bretèche, Régis, and Timothy D Browning. “On Manin’s Conjecture for
    Singular Del Pezzo Surfaces of Degree Four, I.” <i>Michigan Mathematical Journal</i>.
    Project Euclid, 2007. <a href="https://doi.org/10.1307/mmj/1177681985">https://doi.org/10.1307/mmj/1177681985</a>.
  ieee: R. De La Bretèche and T. D. Browning, “On Manin’s conjecture for singular
    del Pezzo surfaces of degree four, I,” <i>Michigan Mathematical Journal</i>, vol.
    55, no. 1. Project Euclid, pp. 51–80, 2007.
  ista: De La Bretèche R, Browning TD. 2007. On Manin’s conjecture for singular del
    Pezzo surfaces of degree four, I. Michigan Mathematical Journal. 55(1), 51–80.
  mla: De La Bretèche, Régis, and Timothy D. Browning. “On Manin’s Conjecture for
    Singular Del Pezzo Surfaces of Degree Four, I.” <i>Michigan Mathematical Journal</i>,
    vol. 55, no. 1, Project Euclid, 2007, pp. 51–80, doi:<a href="https://doi.org/10.1307/mmj/1177681985">10.1307/mmj/1177681985</a>.
  short: R. De La Bretèche, T.D. Browning, Michigan Mathematical Journal 55 (2007)
    51–80.
date_created: 2018-12-11T11:45:17Z
date_published: 2007-04-27T00:00:00Z
date_updated: 2021-01-12T06:56:00Z
day: '27'
ddc:
- '510'
doi: 10.1307/mmj/1177681985
extern: '1'
external_id:
  arxiv:
  - math/0412086
file:
- access_level: open_access
  checksum: 37663dde30b00d2af8a2606c6630a82f
  content_type: application/pdf
  creator: dernst
  date_created: 2019-04-30T08:27:34Z
  date_updated: 2020-07-14T12:45:32Z
  file_id: '6361'
  file_name: 2007_MichiganMath_Breteche.pdf
  file_size: 256111
  relation: main_file
file_date_updated: 2020-07-14T12:45:32Z
has_accepted_license: '1'
intvolume: '        55'
issue: '1'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
page: 51 - 80
publication: Michigan Mathematical Journal
publication_status: published
publisher: Project Euclid
publist_id: '7691'
quality_controlled: '1'
status: public
title: On Manin's conjecture for singular del Pezzo surfaces of degree four, I
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 55
year: '2007'
...
---
_id: '222'
abstract:
- lang: eng
  text: Acknowledgements. The authors are grateful to Ulrich Derenthal and Brendan
    Hassett for several useful conversations relating to universal torsors for singular
    del Pezzo surfaces. Special thanks are due to Roger Heath–Brown whose ideas led
    us to the proof of Lemma 6. The paper was finalised while the first author was
    at the École Normale Supérieure, and the second author was at Oxford University
    supported by EPSRC grant number GR/R93155/01. The hospitality and financial support
    of these institutions is gratefully acknowledged. Finally, the authors would like
    to thank the anonymous referee for his careful reading of the manuscript and numerous
    useful suggestions.
acknowledgement: GR/R93155/01
author:
- first_name: Régis
  full_name: de la Bretèche, Régis
  last_name: De La Bretèche
- first_name: Timothy D
  full_name: Timothy Browning
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
citation:
  ama: De La Bretèche R, Browning TD. On Manin’s conjecture for singular del Pezzo
    surfaces of degree four, II. <i>Mathematical Proceedings of the Cambridge Philosophical
    Society</i>. 2007;143(3):579-605. doi:<a href="https://doi.org/10.1017/S0305004107000205">10.1017/S0305004107000205</a>
  apa: De La Bretèche, R., &#38; Browning, T. D. (2007). On Manin’s conjecture for
    singular del Pezzo surfaces of degree four, II. <i>Mathematical Proceedings of
    the Cambridge Philosophical Society</i>. Unknown. <a href="https://doi.org/10.1017/S0305004107000205">https://doi.org/10.1017/S0305004107000205</a>
  chicago: De La Bretèche, Régis, and Timothy D Browning. “On Manin’s Conjecture for
    Singular Del Pezzo Surfaces of Degree Four, II.” <i>Mathematical Proceedings of
    the Cambridge Philosophical Society</i>. Unknown, 2007. <a href="https://doi.org/10.1017/S0305004107000205">https://doi.org/10.1017/S0305004107000205</a>.
  ieee: R. De La Bretèche and T. D. Browning, “On Manin’s conjecture for singular
    del Pezzo surfaces of degree four, II,” <i>Mathematical Proceedings of the Cambridge
    Philosophical Society</i>, vol. 143, no. 3. Unknown, pp. 579–605, 2007.
  ista: De La Bretèche R, Browning TD. 2007. On Manin’s conjecture for singular del
    Pezzo surfaces of degree four, II. Mathematical Proceedings of the Cambridge Philosophical
    Society. 143(3), 579–605.
  mla: De La Bretèche, Régis, and Timothy D. Browning. “On Manin’s Conjecture for
    Singular Del Pezzo Surfaces of Degree Four, II.” <i>Mathematical Proceedings of
    the Cambridge Philosophical Society</i>, vol. 143, no. 3, Unknown, 2007, pp. 579–605,
    doi:<a href="https://doi.org/10.1017/S0305004107000205">10.1017/S0305004107000205</a>.
  short: R. De La Bretèche, T.D. Browning, Mathematical Proceedings of the Cambridge
    Philosophical Society 143 (2007) 579–605.
date_created: 2018-12-11T11:45:17Z
date_published: 2007-01-01T00:00:00Z
date_updated: 2021-01-12T06:56:05Z
day: '01'
doi: 10.1017/S0305004107000205
extern: 1
intvolume: '       143'
issue: '3'
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/math/0502510v4
month: '01'
oa: 1
page: 579 - 605
publication: Mathematical Proceedings of the Cambridge Philosophical Society
publication_status: published
publisher: Unknown
publist_id: '7689'
quality_controlled: 0
status: public
title: On Manin's conjecture for singular del Pezzo surfaces of degree four, II
type: journal_article
volume: 143
year: '2007'
...
---
_id: '223'
abstract:
- lang: eng
  text: Let Q be a non-singular diagonal quadratic form in at least four variables.
    We provide upper bounds for the number of integer solutions to the equation Q
    = 0, which lie in a box with sides of length 2B, as B → ∞. The estimates obtained
    are completely uniform in the coefficients of the form, and become sharper as
    they grow larger in modulus.
author:
- first_name: Timothy D
  full_name: Timothy Browning
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
citation:
  ama: Browning TD. Density of integer solutions to diagonal quadratic forms. <i>Monatshefte
    fur Mathematik</i>. 2007;152(1):13-38. doi:<a href="https://doi.org/10.1007/s00605-007-0457-5">10.1007/s00605-007-0457-5</a>
  apa: Browning, T. D. (2007). Density of integer solutions to diagonal quadratic
    forms. <i>Monatshefte Fur Mathematik</i>. Springer. <a href="https://doi.org/10.1007/s00605-007-0457-5">https://doi.org/10.1007/s00605-007-0457-5</a>
  chicago: Browning, Timothy D. “Density of Integer Solutions to Diagonal Quadratic
    Forms.” <i>Monatshefte Fur Mathematik</i>. Springer, 2007. <a href="https://doi.org/10.1007/s00605-007-0457-5">https://doi.org/10.1007/s00605-007-0457-5</a>.
  ieee: T. D. Browning, “Density of integer solutions to diagonal quadratic forms,”
    <i>Monatshefte fur Mathematik</i>, vol. 152, no. 1. Springer, pp. 13–38, 2007.
  ista: Browning TD. 2007. Density of integer solutions to diagonal quadratic forms.
    Monatshefte fur Mathematik. 152(1), 13–38.
  mla: Browning, Timothy D. “Density of Integer Solutions to Diagonal Quadratic Forms.”
    <i>Monatshefte Fur Mathematik</i>, vol. 152, no. 1, Springer, 2007, pp. 13–38,
    doi:<a href="https://doi.org/10.1007/s00605-007-0457-5">10.1007/s00605-007-0457-5</a>.
  short: T.D. Browning, Monatshefte Fur Mathematik 152 (2007) 13–38.
date_created: 2018-12-11T11:45:17Z
date_published: 2007-09-01T00:00:00Z
date_updated: 2021-01-12T06:56:09Z
day: '01'
doi: 10.1007/s00605-007-0457-5
extern: 1
intvolume: '       152'
issue: '1'
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/math/0603569
month: '09'
oa: 1
page: 13 - 38
publication: Monatshefte fur Mathematik
publication_status: published
publisher: Springer
publist_id: '7690'
quality_controlled: 0
status: public
title: Density of integer solutions to diagonal quadratic forms
type: journal_article
volume: 152
year: '2007'
...
---
_id: '2367'
abstract:
- lang: eng
  text: It was recently shown by Hansen that the Wigner-Yanase entropy is, for general
    states of quantum systems, not subadditive with respect to decomposition into
    two subsystems, although this property is known to hold for pure states. We investigate
    the question whether the weaker property of subadditivity for pure states with
    respect to decomposition into more than two subsystems holds. This property would
    have interesting applications in quantum chemistry. We show, however, that it
    does not hold in general, and provide a counterexample.
author:
- first_name: Robert
  full_name: Robert Seiringer
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Seiringer R. On the failure of subadditivity of the Wigner-Yanase entropy.
    <i>Letters in Mathematical Physics</i>. 2007;80(3):285-288. doi:<a href="https://doi.org/10.1007/s11005-007-0159-x">10.1007/s11005-007-0159-x</a>
  apa: Seiringer, R. (2007). On the failure of subadditivity of the Wigner-Yanase
    entropy. <i>Letters in Mathematical Physics</i>. Springer. <a href="https://doi.org/10.1007/s11005-007-0159-x">https://doi.org/10.1007/s11005-007-0159-x</a>
  chicago: Seiringer, Robert. “On the Failure of Subadditivity of the Wigner-Yanase
    Entropy.” <i>Letters in Mathematical Physics</i>. Springer, 2007. <a href="https://doi.org/10.1007/s11005-007-0159-x">https://doi.org/10.1007/s11005-007-0159-x</a>.
  ieee: R. Seiringer, “On the failure of subadditivity of the Wigner-Yanase entropy,”
    <i>Letters in Mathematical Physics</i>, vol. 80, no. 3. Springer, pp. 285–288,
    2007.
  ista: Seiringer R. 2007. On the failure of subadditivity of the Wigner-Yanase entropy.
    Letters in Mathematical Physics. 80(3), 285–288.
  mla: Seiringer, Robert. “On the Failure of Subadditivity of the Wigner-Yanase Entropy.”
    <i>Letters in Mathematical Physics</i>, vol. 80, no. 3, Springer, 2007, pp. 285–88,
    doi:<a href="https://doi.org/10.1007/s11005-007-0159-x">10.1007/s11005-007-0159-x</a>.
  short: R. Seiringer, Letters in Mathematical Physics 80 (2007) 285–288.
date_created: 2018-12-11T11:57:15Z
date_published: 2007-06-01T00:00:00Z
date_updated: 2021-01-12T06:57:03Z
day: '01'
doi: 10.1007/s11005-007-0159-x
extern: 1
intvolume: '        80'
issue: '3'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/0704.1435
month: '06'
oa: 1
page: 285 - 288
publication: Letters in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4557'
quality_controlled: 0
status: public
title: On the failure of subadditivity of the Wigner-Yanase entropy
type: journal_article
volume: 80
year: '2007'
...
---
_id: '2370'
abstract:
- lang: eng
  text: After recalling briefly the connection between spontaneous symmetry breaking
    and off-diagonal long-range order for models of magnets a general proof of spontaneous
    breaking of gauge symmetry as a consequence of Bose-Einstein condensation is presented.
    The proof is based on a rigorous validation of Bogoliubov's c-number substitution
    for the k = 0 mode operator α0.
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
- first_name: Jakob
  full_name: Yngvason, Jakob
  last_name: Yngvason
citation:
  ama: Lieb É, Seiringer R, Yngvason J. Bose-Einstein condensation and spontaneous
    symmetry breaking. <i>Reports on Mathematical Physics</i>. 2007;59(3):389-399.
    doi:<a href="https://doi.org/10.1016/S0034-4877(07)80074-7">10.1016/S0034-4877(07)80074-7</a>
  apa: Lieb, É., Seiringer, R., &#38; Yngvason, J. (2007). Bose-Einstein condensation
    and spontaneous symmetry breaking. <i>Reports on Mathematical Physics</i>. Elsevier.
    <a href="https://doi.org/10.1016/S0034-4877(07)80074-7">https://doi.org/10.1016/S0034-4877(07)80074-7</a>
  chicago: Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Bose-Einstein Condensation
    and Spontaneous Symmetry Breaking.” <i>Reports on Mathematical Physics</i>. Elsevier,
    2007. <a href="https://doi.org/10.1016/S0034-4877(07)80074-7">https://doi.org/10.1016/S0034-4877(07)80074-7</a>.
  ieee: É. Lieb, R. Seiringer, and J. Yngvason, “Bose-Einstein condensation and spontaneous
    symmetry breaking,” <i>Reports on Mathematical Physics</i>, vol. 59, no. 3. Elsevier,
    pp. 389–399, 2007.
  ista: Lieb É, Seiringer R, Yngvason J. 2007. Bose-Einstein condensation and spontaneous
    symmetry breaking. Reports on Mathematical Physics. 59(3), 389–399.
  mla: Lieb, Élliott, et al. “Bose-Einstein Condensation and Spontaneous Symmetry
    Breaking.” <i>Reports on Mathematical Physics</i>, vol. 59, no. 3, Elsevier, 2007,
    pp. 389–99, doi:<a href="https://doi.org/10.1016/S0034-4877(07)80074-7">10.1016/S0034-4877(07)80074-7</a>.
  short: É. Lieb, R. Seiringer, J. Yngvason, Reports on Mathematical Physics 59 (2007)
    389–399.
date_created: 2018-12-11T11:57:16Z
date_published: 2007-06-01T00:00:00Z
date_updated: 2021-01-12T06:57:04Z
day: '01'
doi: 10.1016/S0034-4877(07)80074-7
extern: 1
intvolume: '        59'
issue: '3'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/math-ph/0610034
month: '06'
oa: 1
page: 389 - 399
publication: Reports on Mathematical Physics
publication_status: published
publisher: Elsevier
publist_id: '4556'
quality_controlled: 0
status: public
title: Bose-Einstein condensation and spontaneous symmetry breaking
type: journal_article
volume: 59
year: '2007'
...
---
_id: '2371'
abstract:
- lang: eng
  text: We give a proof of stability of relativistic matter with magnetic fields all
    the way up to the critical value of the nuclear charge Zα = 2/π.
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. Stability of relativistic matter with magnetic
    fields for nuclear charges up to the critical value. <i>Communications in Mathematical
    Physics</i>. 2007;275(2):479-489. doi:<a href="https://doi.org/10.1007/s00220-007-0307-2">10.1007/s00220-007-0307-2</a>
  apa: Frank, R., Lieb, É., &#38; Seiringer, R. (2007). Stability of relativistic
    matter with magnetic fields for nuclear charges up to the critical value. <i>Communications
    in Mathematical Physics</i>. Springer. <a href="https://doi.org/10.1007/s00220-007-0307-2">https://doi.org/10.1007/s00220-007-0307-2</a>
  chicago: Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Stability of Relativistic
    Matter with Magnetic Fields for Nuclear Charges up to the Critical Value.” <i>Communications
    in Mathematical Physics</i>. Springer, 2007. <a href="https://doi.org/10.1007/s00220-007-0307-2">https://doi.org/10.1007/s00220-007-0307-2</a>.
  ieee: R. Frank, É. Lieb, and R. Seiringer, “Stability of relativistic matter with
    magnetic fields for nuclear charges up to the critical value,” <i>Communications
    in Mathematical Physics</i>, vol. 275, no. 2. Springer, pp. 479–489, 2007.
  ista: Frank R, Lieb É, Seiringer R. 2007. Stability of relativistic matter with
    magnetic fields for nuclear charges up to the critical value. Communications in
    Mathematical Physics. 275(2), 479–489.
  mla: Frank, Rupert, et al. “Stability of Relativistic Matter with Magnetic Fields
    for Nuclear Charges up to the Critical Value.” <i>Communications in Mathematical
    Physics</i>, vol. 275, no. 2, Springer, 2007, pp. 479–89, doi:<a href="https://doi.org/10.1007/s00220-007-0307-2">10.1007/s00220-007-0307-2</a>.
  short: R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 275
    (2007) 479–489.
date_created: 2018-12-11T11:57:16Z
date_published: 2007-10-01T00:00:00Z
date_updated: 2021-01-12T06:57:05Z
day: '01'
doi: 10.1007/s00220-007-0307-2
extern: 1
intvolume: '       275'
issue: '2'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/math-ph/0610062
month: '10'
oa: 1
page: 479 - 489
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4555'
quality_controlled: 0
status: public
title: Stability of relativistic matter with magnetic fields for nuclear charges up
  to the critical value
type: journal_article
volume: 275
year: '2007'
...
---
_id: '2372'
abstract:
- lang: eng
  text: The increasing interest in the Müller density-matrix-functional theory has
    led us to a systematic mathematical investigation of its properties. This functional
    is similar to the Hartree-Fock (HF) functional, but with a modified exchange term
    in which the square of the density matrix γ(x, x′) is replaced by the square of
    γ1 2 (x, x′). After an extensive introductory discussion of density-matrix-functional
    theory we show, among other things, that this functional is convex (unlike the
    HF functional) and that energy minimizing γ 's have unique densities ρ(r), which
    is a physically desirable property often absent in HF theory. We show that minimizers
    exist if N≤Z, and derive various properties of the minimal energy and the corresponding
    minimizers. We also give a precise statement about the equation for the orbitals
    of γ, which is more complex than for HF theory. We state some open mathematical
    questions about the theory together with conjectured solutions.
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: Heinz
  full_name: Siedentop, Heinz K
  last_name: Siedentop
citation:
  ama: Frank R, Lieb É, Seiringer R, Siedentop H. Müller’s exchange-correlation energy
    in density-matrix-functional theory. <i>Physical Review A - Atomic, Molecular,
    and Optical Physics</i>. 2007;76(5). doi:<a href="https://doi.org/10.1103/PhysRevA.76.052517">10.1103/PhysRevA.76.052517</a>
  apa: Frank, R., Lieb, É., Seiringer, R., &#38; Siedentop, H. (2007). Müller’s exchange-correlation
    energy in density-matrix-functional theory. <i>Physical Review A - Atomic, Molecular,
    and Optical Physics</i>. American Physical Society. <a href="https://doi.org/10.1103/PhysRevA.76.052517">https://doi.org/10.1103/PhysRevA.76.052517</a>
  chicago: Frank, Rupert, Élliott Lieb, Robert Seiringer, and Heinz Siedentop. “Müller’s
    Exchange-Correlation Energy in Density-Matrix-Functional Theory.” <i>Physical
    Review A - Atomic, Molecular, and Optical Physics</i>. American Physical Society,
    2007. <a href="https://doi.org/10.1103/PhysRevA.76.052517">https://doi.org/10.1103/PhysRevA.76.052517</a>.
  ieee: R. Frank, É. Lieb, R. Seiringer, and H. Siedentop, “Müller’s exchange-correlation
    energy in density-matrix-functional theory,” <i>Physical Review A - Atomic, Molecular,
    and Optical Physics</i>, vol. 76, no. 5. American Physical Society, 2007.
  ista: Frank R, Lieb É, Seiringer R, Siedentop H. 2007. Müller’s exchange-correlation
    energy in density-matrix-functional theory. Physical Review A - Atomic, Molecular,
    and Optical Physics. 76(5).
  mla: Frank, Rupert, et al. “Müller’s Exchange-Correlation Energy in Density-Matrix-Functional
    Theory.” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>, vol.
    76, no. 5, American Physical Society, 2007, doi:<a href="https://doi.org/10.1103/PhysRevA.76.052517">10.1103/PhysRevA.76.052517</a>.
  short: R. Frank, É. Lieb, R. Seiringer, H. Siedentop, Physical Review A - Atomic,
    Molecular, and Optical Physics 76 (2007).
date_created: 2018-12-11T11:57:17Z
date_published: 2007-11-30T00:00:00Z
date_updated: 2021-01-12T06:57:05Z
day: '30'
doi: 10.1103/PhysRevA.76.052517
extern: 1
intvolume: '        76'
issue: '5'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/0705.1587
month: '11'
oa: 1
publication: Physical Review A - Atomic, Molecular, and Optical Physics
publication_status: published
publisher: American Physical Society
publist_id: '4554'
quality_controlled: 0
status: public
title: Müller's exchange-correlation energy in density-matrix-functional theory
type: journal_article
volume: 76
year: '2007'
...
---
_id: '2373'
abstract:
- lang: eng
  text: For the BCS equation with local two-body interaction λV(x), we give a rigorous
    analysis of the asymptotic behavior of the critical temperature as γ&quot;0. We
    derive necessary and sufficient conditions onV(x) for the existence of a nontrivial
    solution for all values of γ&gt;0.
author:
- first_name: Rupert
  full_name: Frank, Rupert L
  last_name: Frank
- first_name: Christian
  full_name: Hainzl, Christian
  last_name: Hainzl
- first_name: Serguei
  full_name: Naboko, Serguei N
  last_name: Naboko
- 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, Hainzl C, Naboko S, Seiringer R. The critical temperature for the
    BCS equation at weak coupling. <i>Journal of Geometric Analysis</i>. 2007;17(4):559-567.
    doi:<a href="https://doi.org/10.1007/BF02937429">10.1007/BF02937429</a>
  apa: Frank, R., Hainzl, C., Naboko, S., &#38; Seiringer, R. (2007). The critical
    temperature for the BCS equation at weak coupling. <i>Journal of Geometric Analysis</i>.
    Springer. <a href="https://doi.org/10.1007/BF02937429">https://doi.org/10.1007/BF02937429</a>
  chicago: Frank, Rupert, Christian Hainzl, Serguei Naboko, and Robert Seiringer.
    “The Critical Temperature for the BCS Equation at Weak Coupling.” <i>Journal of
    Geometric Analysis</i>. Springer, 2007. <a href="https://doi.org/10.1007/BF02937429">https://doi.org/10.1007/BF02937429</a>.
  ieee: R. Frank, C. Hainzl, S. Naboko, and R. Seiringer, “The critical temperature
    for the BCS equation at weak coupling,” <i>Journal of Geometric Analysis</i>,
    vol. 17, no. 4. Springer, pp. 559–567, 2007.
  ista: Frank R, Hainzl C, Naboko S, Seiringer R. 2007. The critical temperature for
    the BCS equation at weak coupling. Journal of Geometric Analysis. 17(4), 559–567.
  mla: Frank, Rupert, et al. “The Critical Temperature for the BCS Equation at Weak
    Coupling.” <i>Journal of Geometric Analysis</i>, vol. 17, no. 4, Springer, 2007,
    pp. 559–67, doi:<a href="https://doi.org/10.1007/BF02937429">10.1007/BF02937429</a>.
  short: R. Frank, C. Hainzl, S. Naboko, R. Seiringer, Journal of Geometric Analysis
    17 (2007) 559–567.
date_created: 2018-12-11T11:57:17Z
date_published: 2007-01-01T00:00:00Z
date_updated: 2021-01-12T06:57:05Z
day: '01'
doi: 10.1007/BF02937429
extern: 1
intvolume: '        17'
issue: '4'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/0704.3564
month: '01'
oa: 1
page: 559 - 567
publication: Journal of Geometric Analysis
publication_status: published
publisher: Springer
publist_id: '4553'
quality_controlled: 0
status: public
title: The critical temperature for the BCS equation at weak coupling
type: journal_article
volume: 17
year: '2007'
...
---
_id: '2375'
abstract:
- lang: eng
  text: We give a Cwikel-Lieb-Rozenblum type bound on the number of bound states of
    Schrödinger operators with matrix-valued potentials using the functional integral
    method of Lieb. This significantly improves the constant in this inequality obtained
    earlier by Hundertmark.
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. Number of bound states of Schrödinger operators
    with matrix-valued potentials. <i>Letters in Mathematical Physics</i>. 2007;82(2-3):107-116.
    doi:<a href="https://doi.org/10.1007/s11005-007-0211-x">10.1007/s11005-007-0211-x</a>
  apa: Frank, R., Lieb, É., &#38; Seiringer, R. (2007). Number of bound states of
    Schrödinger operators with matrix-valued potentials. <i>Letters in Mathematical
    Physics</i>. Springer. <a href="https://doi.org/10.1007/s11005-007-0211-x">https://doi.org/10.1007/s11005-007-0211-x</a>
  chicago: Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Number of Bound States
    of Schrödinger Operators with Matrix-Valued Potentials.” <i>Letters in Mathematical
    Physics</i>. Springer, 2007. <a href="https://doi.org/10.1007/s11005-007-0211-x">https://doi.org/10.1007/s11005-007-0211-x</a>.
  ieee: R. Frank, É. Lieb, and R. Seiringer, “Number of bound states of Schrödinger
    operators with matrix-valued potentials,” <i>Letters in Mathematical Physics</i>,
    vol. 82, no. 2–3. Springer, pp. 107–116, 2007.
  ista: Frank R, Lieb É, Seiringer R. 2007. Number of bound states of Schrödinger
    operators with matrix-valued potentials. Letters in Mathematical Physics. 82(2–3),
    107–116.
  mla: Frank, Rupert, et al. “Number of Bound States of Schrödinger Operators with
    Matrix-Valued Potentials.” <i>Letters in Mathematical Physics</i>, vol. 82, no.
    2–3, Springer, 2007, pp. 107–16, doi:<a href="https://doi.org/10.1007/s11005-007-0211-x">10.1007/s11005-007-0211-x</a>.
  short: R. Frank, É. Lieb, R. Seiringer, Letters in Mathematical Physics 82 (2007)
    107–116.
date_created: 2018-12-11T11:57:18Z
date_published: 2007-12-01T00:00:00Z
date_updated: 2021-01-12T06:57:06Z
day: '01'
doi: 10.1007/s11005-007-0211-x
extern: 1
intvolume: '        82'
issue: 2-3
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/0710.1877
month: '12'
oa: 1
page: 107 - 116
publication: Letters in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4552'
quality_controlled: 0
status: public
title: Number of bound states of Schrödinger operators with matrix-valued potentials
type: journal_article
volume: 82
year: '2007'
...
---
_id: '2705'
alternative_title:
- Proceedings of Symposia in Pure Mathematics
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. Recent developments in quantum mechanics with magnetic fields. In:
    Gesztesy F, Deift P, Galvez P, Perry P, Schlag W, eds. <i>Spectral Theory and
    Mathematical Physics: A Festschrift in Honor of Barry Simon’s 60th Birthday </i>.
    Vol 76. American Mathematical Society; 2007:401-428.'
  apa: 'Erdös, L. (2007). Recent developments in quantum mechanics with magnetic fields.
    In F. Gesztesy, P. Deift, P. Galvez, P. Perry, &#38; W. Schlag (Eds.), <i>Spectral
    Theory and Mathematical Physics: a Festschrift in Honor of Barry Simon’s 60th
    Birthday </i> (Vol. 76, pp. 401–428). American Mathematical Society.'
  chicago: 'Erdös, László. “Recent Developments in Quantum Mechanics with Magnetic
    Fields.” In <i>Spectral Theory and Mathematical Physics: A Festschrift in Honor
    of Barry Simon’s 60th Birthday </i>, edited by Fritz Gesztesy, Percy Deift, Percy
    Galvez, Peter Perry, and Wilhelm Schlag, 76:401–28. American Mathematical Society,
    2007.'
  ieee: 'L. Erdös, “Recent developments in quantum mechanics with magnetic fields,”
    in <i>Spectral Theory and Mathematical Physics: a Festschrift in Honor of Barry
    Simon’s 60th Birthday </i>, vol. 76, F. Gesztesy, P. Deift, P. Galvez, P. Perry,
    and W. Schlag, Eds. American Mathematical Society, 2007, pp. 401–428.'
  ista: 'Erdös L. 2007.Recent developments in quantum mechanics with magnetic fields.
    In: Spectral Theory and Mathematical Physics: a Festschrift in Honor of Barry
    Simon’s 60th Birthday . Proceedings of Symposia in Pure Mathematics, vol. 76,
    401–428.'
  mla: 'Erdös, László. “Recent Developments in Quantum Mechanics with Magnetic Fields.”
    <i>Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon’s
    60th Birthday </i>, edited by Fritz Gesztesy et al., vol. 76, American Mathematical
    Society, 2007, pp. 401–28.'
  short: 'L. Erdös, in:, F. Gesztesy, P. Deift, P. Galvez, P. Perry, W. Schlag (Eds.),
    Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon’s
    60th Birthday , American Mathematical Society, 2007, pp. 401–428.'
date_created: 2018-12-11T11:59:10Z
date_published: 2007-03-30T00:00:00Z
date_updated: 2021-01-12T06:59:10Z
day: '30'
editor:
- first_name: Fritz
  full_name: Gesztesy, Fritz
  last_name: Gesztesy
- first_name: Percy
  full_name: Deift, Percy
  last_name: Deift
- first_name: Percy
  full_name: Galvez, Percy
  last_name: Galvez
- first_name: Peter
  full_name: Perry, Peter
  last_name: Perry
- first_name: Wilhelm
  full_name: Schlag, Wilhelm
  last_name: Schlag
extern: 1
intvolume: '        76'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/math-ph/0510055v2
month: '03'
oa: 1
page: 401 - 428
publication: 'Spectral Theory and Mathematical Physics: a Festschrift in Honor of
  Barry Simon''s 60th Birthday '
publication_status: published
publisher: American Mathematical Society
publist_id: '4191'
quality_controlled: 0
status: public
title: Recent developments in quantum mechanics with magnetic fields
type: book_chapter
volume: 76
year: '2007'
...
---
_id: '11116'
abstract:
- lang: eng
  text: The metazoan nuclear envelope (NE) breaks down and re-forms during each cell
    cycle. Nuclear pore complexes (NPCs), which allow nucleocytoplasmic transport
    during interphase, assemble into the re-forming NE at the end of mitosis. Using
    in vitro NE assembly, we show that the vertebrate homologue of MEL-28 (maternal
    effect lethal), a recently discovered NE component in Caenorhabditis elegans,
    functions in postmitotic NPC assembly. MEL-28 interacts with the Nup107–160 complex
    (Nup for nucleoporin), an important building block of the NPC, and is essential
    for the recruitment of the Nup107–160 complex to chromatin. We suggest that MEL-28
    acts as a seeding point for NPC assembly.
article_processing_charge: No
article_type: original
author:
- first_name: Cerstin
  full_name: Franz, Cerstin
  last_name: Franz
- first_name: Rudolf
  full_name: Walczak, Rudolf
  last_name: Walczak
- first_name: Sevil
  full_name: Yavuz, Sevil
  last_name: Yavuz
- first_name: Rachel
  full_name: Santarella, Rachel
  last_name: Santarella
- first_name: Marc
  full_name: Gentzel, Marc
  last_name: Gentzel
- first_name: Peter
  full_name: Askjaer, Peter
  last_name: Askjaer
- first_name: Vincent
  full_name: Galy, Vincent
  last_name: Galy
- first_name: Martin W
  full_name: HETZER, Martin W
  id: 86c0d31b-b4eb-11ec-ac5a-eae7b2e135ed
  last_name: HETZER
  orcid: 0000-0002-2111-992X
- first_name: Iain W
  full_name: Mattaj, Iain W
  last_name: Mattaj
- first_name: Wolfram
  full_name: Antonin, Wolfram
  last_name: Antonin
citation:
  ama: Franz C, Walczak R, Yavuz S, et al. MEL‐28/ELYS is required for the recruitment
    of nucleoporins to chromatin and postmitotic nuclear pore complex assembly. <i>EMBO
    reports</i>. 2007;8(2):165-172. doi:<a href="https://doi.org/10.1038/sj.embor.7400889">10.1038/sj.embor.7400889</a>
  apa: Franz, C., Walczak, R., Yavuz, S., Santarella, R., Gentzel, M., Askjaer, P.,
    … Antonin, W. (2007). MEL‐28/ELYS is required for the recruitment of nucleoporins
    to chromatin and postmitotic nuclear pore complex assembly. <i>EMBO Reports</i>.
    EMBO. <a href="https://doi.org/10.1038/sj.embor.7400889">https://doi.org/10.1038/sj.embor.7400889</a>
  chicago: Franz, Cerstin, Rudolf Walczak, Sevil Yavuz, Rachel Santarella, Marc Gentzel,
    Peter Askjaer, Vincent Galy, Martin Hetzer, Iain W Mattaj, and Wolfram Antonin.
    “MEL‐28/ELYS Is Required for the Recruitment of Nucleoporins to Chromatin and
    Postmitotic Nuclear Pore Complex Assembly.” <i>EMBO Reports</i>. EMBO, 2007. <a
    href="https://doi.org/10.1038/sj.embor.7400889">https://doi.org/10.1038/sj.embor.7400889</a>.
  ieee: C. Franz <i>et al.</i>, “MEL‐28/ELYS is required for the recruitment of nucleoporins
    to chromatin and postmitotic nuclear pore complex assembly,” <i>EMBO reports</i>,
    vol. 8, no. 2. EMBO, pp. 165–172, 2007.
  ista: Franz C, Walczak R, Yavuz S, Santarella R, Gentzel M, Askjaer P, Galy V, Hetzer
    M, Mattaj IW, Antonin W. 2007. MEL‐28/ELYS is required for the recruitment of
    nucleoporins to chromatin and postmitotic nuclear pore complex assembly. EMBO
    reports. 8(2), 165–172.
  mla: Franz, Cerstin, et al. “MEL‐28/ELYS Is Required for the Recruitment of Nucleoporins
    to Chromatin and Postmitotic Nuclear Pore Complex Assembly.” <i>EMBO Reports</i>,
    vol. 8, no. 2, EMBO, 2007, pp. 165–72, doi:<a href="https://doi.org/10.1038/sj.embor.7400889">10.1038/sj.embor.7400889</a>.
  short: C. Franz, R. Walczak, S. Yavuz, R. Santarella, M. Gentzel, P. Askjaer, V.
    Galy, M. Hetzer, I.W. Mattaj, W. Antonin, EMBO Reports 8 (2007) 165–172.
date_created: 2022-04-07T07:56:13Z
date_published: 2007-01-19T00:00:00Z
date_updated: 2022-07-18T08:56:40Z
day: '19'
doi: 10.1038/sj.embor.7400889
extern: '1'
external_id:
  pmid:
  - '17235358'
intvolume: '         8'
issue: '2'
keyword:
- Genetics
- Molecular Biology
- Biochemistry
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1038/sj.embor.7400889
month: '01'
oa: 1
oa_version: Published Version
page: 165-172
pmid: 1
publication: EMBO reports
publication_identifier:
  eissn:
  - 1469-3178
  issn:
  - 1469-221X
publication_status: published
publisher: EMBO
quality_controlled: '1'
scopus_import: '1'
status: public
title: MEL‐28/ELYS is required for the recruitment of nucleoporins to chromatin and
  postmitotic nuclear pore complex assembly
type: journal_article
user_id: 72615eeb-f1f3-11ec-aa25-d4573ddc34fd
volume: 8
year: '2007'
...
---
_id: '1461'
abstract:
- lang: eng
  text: This note proves combinatorially that the intersection pairing on the middle-dimensional
    compactly supported cohomology of a toric hyperkähler variety is always definite,
    providing a large number of non-trivial L 2 harmonic forms for toric hyperkähler
    metrics on these varieties. This is motivated by a result of Hitchin about the
    definiteness of the pairing of L 2 harmonic forms on complete hyperkähler manifolds
    of linear growth.
acknowledgement: The first author was partly supported by NSF grant DMS-0072675. The
  second author was partly supported by a VIGRE postdoc under NSF grant number 9983660
  to Cornell University.
author:
- first_name: Tamas
  full_name: Tamas Hausel
  id: 4A0666D8-F248-11E8-B48F-1D18A9856A87
  last_name: Hausel
- first_name: Edward
  full_name: Swartz, Edward
  last_name: Swartz
citation:
  ama: Hausel T, Swartz E. Intersection forms of toric hyperkähler varieties. <i>Proceedings
    of the American Mathematical Society</i>. 2006;134(8):2403-2409. doi:<a href="https://doi.org/10.1090/S0002-9939-06-08248-7">10.1090/S0002-9939-06-08248-7</a>
  apa: Hausel, T., &#38; Swartz, E. (2006). Intersection forms of toric hyperkähler
    varieties. <i>Proceedings of the American Mathematical Society</i>. American Mathematical
    Society. <a href="https://doi.org/10.1090/S0002-9939-06-08248-7">https://doi.org/10.1090/S0002-9939-06-08248-7</a>
  chicago: Hausel, Tamás, and Edward Swartz. “Intersection Forms of Toric Hyperkähler
    Varieties.” <i>Proceedings of the American Mathematical Society</i>. American
    Mathematical Society, 2006. <a href="https://doi.org/10.1090/S0002-9939-06-08248-7">https://doi.org/10.1090/S0002-9939-06-08248-7</a>.
  ieee: T. Hausel and E. Swartz, “Intersection forms of toric hyperkähler varieties,”
    <i>Proceedings of the American Mathematical Society</i>, vol. 134, no. 8. American
    Mathematical Society, pp. 2403–2409, 2006.
  ista: Hausel T, Swartz E. 2006. Intersection forms of toric hyperkähler varieties.
    Proceedings of the American Mathematical Society. 134(8), 2403–2409.
  mla: Hausel, Tamás, and Edward Swartz. “Intersection Forms of Toric Hyperkähler
    Varieties.” <i>Proceedings of the American Mathematical Society</i>, vol. 134,
    no. 8, American Mathematical Society, 2006, pp. 2403–09, doi:<a href="https://doi.org/10.1090/S0002-9939-06-08248-7">10.1090/S0002-9939-06-08248-7</a>.
  short: T. Hausel, E. Swartz, Proceedings of the American Mathematical Society 134
    (2006) 2403–2409.
date_created: 2018-12-11T11:52:09Z
date_published: 2006-08-01T00:00:00Z
date_updated: 2021-01-12T06:50:54Z
day: '01'
doi: 10.1090/S0002-9939-06-08248-7
extern: 1
intvolume: '       134'
issue: '8'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/math/0306369
month: '08'
oa: 1
page: 2403 - 2409
publication: Proceedings of the American Mathematical Society
publication_status: published
publisher: American Mathematical Society
publist_id: '5733'
quality_controlled: 0
status: public
title: Intersection forms of toric hyperkähler varieties
type: journal_article
volume: 134
year: '2006'
...
---
_id: '1462'
abstract:
- lang: eng
  text: A Fourier transform technique is introduced for counting the number of solutions
    of holomorphic moment map equations over a finite field. This technique in turn
    gives information on Betti numbers of holomorphic symplectic quotients. As a consequence,
    simple unified proofs are obtained for formulas of Poincaré polynomials of toric
    hyperkähler varieties (recovering results of Bielawski-Dancer and Hausel-Sturmfels),
    Poincaré polynomials of Hubert schemes of points and twisted Atiyah-Drinfeld-Hitchin-Manin
    (ADHM) spaces of instantons on ℂ2 (recovering results of Nakajima-Yoshioka), and
    Poincaré polynomials of all Nakajima quiver varieties. As an application, a proof
    of a conjecture of Kac on the number of absolutely indecomposable representations
    of a quiver is announced.
acknowledgement: This work was supported by a Royal Society University Research Fellowship,
  National Science Foundation Grant DMS-0305505, an Alfred P. Sloan Research Fellowship,
  and a Summer Research Assignment of the University of Texas at Austin.
author:
- first_name: Tamas
  full_name: Tamas Hausel
  id: 4A0666D8-F248-11E8-B48F-1D18A9856A87
  last_name: Hausel
citation:
  ama: Hausel T. Betti numbers of holomorphic symplectic quotients via arithmetic
    Fourier transform. <i>PNAS</i>. 2006;103(16):6120-6124. doi:<a href="https://doi.org/10.1073/pnas.0601337103">10.1073/pnas.0601337103</a>
  apa: Hausel, T. (2006). Betti numbers of holomorphic symplectic quotients via arithmetic
    Fourier transform. <i>PNAS</i>. National Academy of Sciences. <a href="https://doi.org/10.1073/pnas.0601337103">https://doi.org/10.1073/pnas.0601337103</a>
  chicago: Hausel, Tamás. “Betti Numbers of Holomorphic Symplectic Quotients via Arithmetic
    Fourier Transform.” <i>PNAS</i>. National Academy of Sciences, 2006. <a href="https://doi.org/10.1073/pnas.0601337103">https://doi.org/10.1073/pnas.0601337103</a>.
  ieee: T. Hausel, “Betti numbers of holomorphic symplectic quotients via arithmetic
    Fourier transform,” <i>PNAS</i>, vol. 103, no. 16. National Academy of Sciences,
    pp. 6120–6124, 2006.
  ista: Hausel T. 2006. Betti numbers of holomorphic symplectic quotients via arithmetic
    Fourier transform. PNAS. 103(16), 6120–6124.
  mla: Hausel, Tamás. “Betti Numbers of Holomorphic Symplectic Quotients via Arithmetic
    Fourier Transform.” <i>PNAS</i>, vol. 103, no. 16, National Academy of Sciences,
    2006, pp. 6120–24, doi:<a href="https://doi.org/10.1073/pnas.0601337103">10.1073/pnas.0601337103</a>.
  short: T. Hausel, PNAS 103 (2006) 6120–6124.
date_created: 2018-12-11T11:52:10Z
date_published: 2006-04-18T00:00:00Z
date_updated: 2021-01-12T06:50:55Z
day: '18'
doi: 10.1073/pnas.0601337103
extern: 1
intvolume: '       103'
issue: '16'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/math/0511163
month: '04'
oa: 1
page: 6120 - 6124
publication: PNAS
publication_status: published
publisher: National Academy of Sciences
publist_id: '5734'
quality_controlled: 0
status: public
title: Betti numbers of holomorphic symplectic quotients via arithmetic Fourier transform
type: journal_article
volume: 103
year: '2006'
...
---
_id: '573'
abstract:
- lang: eng
  text: 'Mitchison and Jozsa recently suggested that the &quot;chained-Zeno&quot;
    counterfactual computation protocol recently proposed by Hosten et al. is counterfactual
    for only one output of the computer. This claim was based on the existing abstract
    algebraic definition of counterfactual computation, and indeed according to this
    definition, their argument is correct. However, a more general definition (physically
    adequate) for counterfactual computation is implicitly assumed by Hosten et. al.
    Here we explain in detail why the protocol is counterfactual and how the &quot;history
    tracking&quot; method of the existing description inadequately represents the
    physics underlying the protocol. Consequently, we propose a modified definition
    of counterfactual computation. Finally, we comment on one of the most interesting
    aspects of the error-correcting protocol. '
article_processing_charge: No
arxiv: 1
author:
- first_name: Onur
  full_name: Hosten, Onur
  id: 4C02D85E-F248-11E8-B48F-1D18A9856A87
  last_name: Hosten
  orcid: 0000-0002-2031-204X
- first_name: Matthew
  full_name: Rakher, Matthew
  last_name: Rakher
- first_name: Julio
  full_name: Barreiro, Julio
  last_name: Barreiro
- first_name: Nicholas
  full_name: Peters, Nicholas
  last_name: Peters
- first_name: Paul
  full_name: Kwiat, Paul
  last_name: Kwiat
citation:
  ama: Hosten O, Rakher M, Barreiro J, Peters N, Kwiat P. Counterfactual computation
    revisited. 2006.
  apa: Hosten, O., Rakher, M., Barreiro, J., Peters, N., &#38; Kwiat, P. (2006). Counterfactual
    computation revisited. ArXiv.
  chicago: Hosten, Onur, Matthew Rakher, Julio Barreiro, Nicholas Peters, and Paul
    Kwiat. “Counterfactual Computation Revisited.” ArXiv, 2006.
  ieee: O. Hosten, M. Rakher, J. Barreiro, N. Peters, and P. Kwiat, “Counterfactual
    computation revisited.” ArXiv, 2006.
  ista: Hosten O, Rakher M, Barreiro J, Peters N, Kwiat P. 2006. Counterfactual computation
    revisited.
  mla: Hosten, Onur, et al. <i>Counterfactual Computation Revisited</i>. ArXiv, 2006.
  short: O. Hosten, M. Rakher, J. Barreiro, N. Peters, P. Kwiat, (2006).
date_created: 2018-12-11T11:47:16Z
date_published: 2006-08-06T00:00:00Z
date_updated: 2020-05-12T08:23:52Z
day: '06'
extern: '1'
external_id:
  arxiv:
  - '0607101'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/quant-ph/0607101
month: '08'
oa: 1
oa_version: Preprint
page: '12'
publication_status: published
publisher: ArXiv
publist_id: '7241'
status: public
title: Counterfactual computation revisited
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2006'
...
---
_id: '574'
abstract:
- lang: eng
  text: 'Vaidman, in a recent article adopts the method of ''quantum weak measurements
    in pre- and postselected ensembles'' to ascertain whether or not the chained-Zeno
    counterfactual computation scheme proposed by Hosten et al. is counterfactual;
    which has been the topic of a debate on the definition of counterfactuality. We
    disagree with his conclusion, which brings up some interesting aspects of quantum
    weak measurements and some concerns about the way they are interpreted. '
article_processing_charge: No
arxiv: 1
author:
- first_name: Onur
  full_name: Hosten, Onur
  id: 4C02D85E-F248-11E8-B48F-1D18A9856A87
  last_name: Hosten
  orcid: 0000-0002-2031-204X
- first_name: Paul
  full_name: Kwiat, Paul
  last_name: Kwiat
citation:
  ama: Hosten O, Kwiat P. Weak measurements and counterfactual computation. 2006.
  apa: Hosten, O., &#38; Kwiat, P. (2006). Weak measurements and counterfactual computation.
    ArXiv.
  chicago: Hosten, Onur, and Paul Kwiat. “Weak Measurements and Counterfactual Computation.”
    ArXiv, 2006.
  ieee: O. Hosten and P. Kwiat, “Weak measurements and counterfactual computation.”
    ArXiv, 2006.
  ista: Hosten O, Kwiat P. 2006. Weak measurements and counterfactual computation.
  mla: Hosten, Onur, and Paul Kwiat. <i>Weak Measurements and Counterfactual Computation</i>.
    ArXiv, 2006.
  short: O. Hosten, P. Kwiat, (2006).
date_created: 2018-12-11T11:47:16Z
date_published: 2006-12-19T00:00:00Z
date_updated: 2020-05-12T08:18:01Z
day: '19'
extern: '1'
external_id:
  arxiv:
  - '0612159'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/quant-ph/0612159
month: '12'
oa: 1
oa_version: Preprint
page: '2'
publication_status: published
publisher: ArXiv
publist_id: '7240'
status: public
title: Weak measurements and counterfactual computation
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2006'
...
