---
_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
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  creator: dernst
  date_created: 2019-04-30T08:27:34Z
  date_updated: 2020-07-14T12:45:32Z
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  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: '7323'
abstract:
- lang: eng
  text: The main factors for reducing the consumption of a vehicle are reduction of
    curb weight, air drag and increase in the drivetrain efficiency. Highly efficient
    drivetrains can be developed based on PEFC technology and curb weight may be limited
    by an innovative vehicle construction. In this paper, data on consumption and
    efficiency of a four‐place passenger vehicle with a curb weight of 850 kg and
    an H2/O2 fed PEFC/Supercap hybrid electric powertrain are presented. Hydrogen
    consumption in the New European Driving Cycle is 0.67 kg H2/100 km, which corresponds
    to a gasoline equivalent consumption of 2.5 l/100 km. When including the energy
    needed to supply pure oxygen, the calculated consumption increases from 0.67 to
    0.69–0.79 kg H2/100 km, depending on the method of oxygen production.
article_processing_charge: No
article_type: original
author:
- first_name: F. N.
  full_name: Büchi, F. N.
  last_name: Büchi
- first_name: G.
  full_name: Paganelli, G.
  last_name: Paganelli
- first_name: P.
  full_name: Dietrich, P.
  last_name: Dietrich
- first_name: D.
  full_name: Laurent, D.
  last_name: Laurent
- first_name: A.
  full_name: Tsukada, A.
  last_name: Tsukada
- first_name: P.
  full_name: Varenne, P.
  last_name: Varenne
- first_name: A.
  full_name: Delfino, A.
  last_name: Delfino
- first_name: R.
  full_name: Kötz, R.
  last_name: Kötz
- first_name: Stefan Alexander
  full_name: Freunberger, Stefan Alexander
  id: A8CA28E6-CE23-11E9-AD2D-EC27E6697425
  last_name: Freunberger
  orcid: 0000-0003-2902-5319
- first_name: P.-A.
  full_name: Magne, P.-A.
  last_name: Magne
- first_name: D.
  full_name: Walser, D.
  last_name: Walser
- first_name: D.
  full_name: Olsommer, D.
  last_name: Olsommer
citation:
  ama: Büchi FN, Paganelli G, Dietrich P, et al. Consumption and efficiency of a passenger
    car with a Hydrogen/Oxygen PEFC based hybrid electric drivetrain. <i>Fuel Cells</i>.
    2007;7(4):329-335. doi:<a href="https://doi.org/10.1002/fuce.200600050">10.1002/fuce.200600050</a>
  apa: Büchi, F. N., Paganelli, G., Dietrich, P., Laurent, D., Tsukada, A., Varenne,
    P., … Olsommer, D. (2007). Consumption and efficiency of a passenger car with
    a Hydrogen/Oxygen PEFC based hybrid electric drivetrain. <i>Fuel Cells</i>. Wiley.
    <a href="https://doi.org/10.1002/fuce.200600050">https://doi.org/10.1002/fuce.200600050</a>
  chicago: Büchi, F. N., G. Paganelli, P. Dietrich, D. Laurent, A. Tsukada, P. Varenne,
    A. Delfino, et al. “Consumption and Efficiency of a Passenger Car with a Hydrogen/Oxygen
    PEFC Based Hybrid Electric Drivetrain.” <i>Fuel Cells</i>. Wiley, 2007. <a href="https://doi.org/10.1002/fuce.200600050">https://doi.org/10.1002/fuce.200600050</a>.
  ieee: F. N. Büchi <i>et al.</i>, “Consumption and efficiency of a passenger car
    with a Hydrogen/Oxygen PEFC based hybrid electric drivetrain,” <i>Fuel Cells</i>,
    vol. 7, no. 4. Wiley, pp. 329–335, 2007.
  ista: Büchi FN, Paganelli G, Dietrich P, Laurent D, Tsukada A, Varenne P, Delfino
    A, Kötz R, Freunberger SA, Magne P-A, Walser D, Olsommer D. 2007. Consumption
    and efficiency of a passenger car with a Hydrogen/Oxygen PEFC based hybrid electric
    drivetrain. Fuel Cells. 7(4), 329–335.
  mla: Büchi, F. N., et al. “Consumption and Efficiency of a Passenger Car with a
    Hydrogen/Oxygen PEFC Based Hybrid Electric Drivetrain.” <i>Fuel Cells</i>, vol.
    7, no. 4, Wiley, 2007, pp. 329–35, doi:<a href="https://doi.org/10.1002/fuce.200600050">10.1002/fuce.200600050</a>.
  short: F.N. Büchi, G. Paganelli, P. Dietrich, D. Laurent, A. Tsukada, P. Varenne,
    A. Delfino, R. Kötz, S.A. Freunberger, P.-A. Magne, D. Walser, D. Olsommer, Fuel
    Cells 7 (2007) 329–335.
date_created: 2020-01-15T12:22:10Z
date_published: 2007-08-01T00:00:00Z
date_updated: 2021-01-12T08:13:04Z
day: '01'
doi: 10.1002/fuce.200600050
extern: '1'
intvolume: '         7'
issue: '4'
language:
- iso: eng
month: '08'
oa_version: None
page: 329-335
publication: Fuel Cells
publication_identifier:
  issn:
  - 1615-6846
  - 1615-6854
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: Consumption and efficiency of a passenger car with a Hydrogen/Oxygen PEFC based
  hybrid electric drivetrain
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 7
year: '2007'
...
---
_id: '7324'
abstract:
- lang: eng
  text: Efficiency is the key parameter for the application of fuel cells in automotive
    applications. The efficiency of a hydrogen/oxygen polymer electrolyte fuel cell
    system is analyzed and compared to hydrogen/air systems. The analysis is performed
    for the tank to electric power chain. Furthermore, the additional energy required
    for using pure oxygen as a second fuel is analyzed and included in the calculation.
    The results show that if hydrogen is produced from primary fossil energy carriers,
    such as natural gas and pure oxygen needs to be obtained by a conventional process;
    the fuel to electric current efficiency is comparable for hydrogen/oxygen and
    hydrogen/air systems. However, if hydrogen and oxygen are produced by the splitting
    of water, i.e., by electrolysis or by a thermochemical process, the fuel to electric
    current efficiency for the hydrogen/oxygen system is clearly superior.
article_processing_charge: No
article_type: original
author:
- first_name: F. N.
  full_name: Büchi, F. N.
  last_name: Büchi
- first_name: Stefan Alexander
  full_name: Freunberger, Stefan Alexander
  id: A8CA28E6-CE23-11E9-AD2D-EC27E6697425
  last_name: Freunberger
  orcid: 0000-0003-2902-5319
- first_name: M.
  full_name: Reum, M.
  last_name: Reum
- first_name: G.
  full_name: Paganelli, G.
  last_name: Paganelli
- first_name: A.
  full_name: Tsukada, A.
  last_name: Tsukada
- first_name: P.
  full_name: Dietrich, P.
  last_name: Dietrich
- first_name: A.
  full_name: Delfino, A.
  last_name: Delfino
citation:
  ama: Büchi FN, Freunberger SA, Reum M, et al. On the efficiency of an advanced automotive
    fuel cell system. <i>Fuel Cells</i>. 2007;7(2):159-164. doi:<a href="https://doi.org/10.1002/fuce.200500257">10.1002/fuce.200500257</a>
  apa: Büchi, F. N., Freunberger, S. A., Reum, M., Paganelli, G., Tsukada, A., Dietrich,
    P., &#38; Delfino, A. (2007). On the efficiency of an advanced automotive fuel
    cell system. <i>Fuel Cells</i>. Wiley. <a href="https://doi.org/10.1002/fuce.200500257">https://doi.org/10.1002/fuce.200500257</a>
  chicago: Büchi, F. N., Stefan Alexander Freunberger, M. Reum, G. Paganelli, A. Tsukada,
    P. Dietrich, and A. Delfino. “On the Efficiency of an Advanced Automotive Fuel
    Cell System.” <i>Fuel Cells</i>. Wiley, 2007. <a href="https://doi.org/10.1002/fuce.200500257">https://doi.org/10.1002/fuce.200500257</a>.
  ieee: F. N. Büchi <i>et al.</i>, “On the efficiency of an advanced automotive fuel
    cell system,” <i>Fuel Cells</i>, vol. 7, no. 2. Wiley, pp. 159–164, 2007.
  ista: Büchi FN, Freunberger SA, Reum M, Paganelli G, Tsukada A, Dietrich P, Delfino
    A. 2007. On the efficiency of an advanced automotive fuel cell system. Fuel Cells.
    7(2), 159–164.
  mla: Büchi, F. N., et al. “On the Efficiency of an Advanced Automotive Fuel Cell
    System.” <i>Fuel Cells</i>, vol. 7, no. 2, Wiley, 2007, pp. 159–64, doi:<a href="https://doi.org/10.1002/fuce.200500257">10.1002/fuce.200500257</a>.
  short: F.N. Büchi, S.A. Freunberger, M. Reum, G. Paganelli, A. Tsukada, P. Dietrich,
    A. Delfino, Fuel Cells 7 (2007) 159–164.
date_created: 2020-01-15T12:22:20Z
date_published: 2007-04-01T00:00:00Z
date_updated: 2021-01-12T08:13:04Z
day: '01'
doi: 10.1002/fuce.200500257
extern: '1'
intvolume: '         7'
issue: '2'
language:
- iso: eng
month: '04'
oa_version: None
page: 159-164
publication: Fuel Cells
publication_identifier:
  issn:
  - 1615-6846
  - 1615-6854
publication_status: published
publisher: Wiley
status: public
title: On the efficiency of an advanced automotive fuel cell system
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 7
year: '2007'
...
---
_id: '7325'
abstract:
- lang: eng
  text: Our experimental results shown here disprove that finite diffusion can generally
    be assumed in ac impedance models for H2/air-polymer electrolyte fuel cells (PEFCs)
    to account for the diffusive transport of oxygen through the gas diffusion layer
    (GDL) toward the air electrode. It is shown that the amplitude of the oxygen concentration
    oscillation created as a consequence of superimposed ac current at the air electrode
    is not zero at the channel/GDL interface but extends into the gas channels, at
    least below modulation frequencies of fmod=10 Hz . By this, sinusoidal oxygen-concentration
    oscillations within the cathode gas channels are excited locally along the flow
    field. Due to the forced air convection in the cathode flow-field channels, a
    coupling via the gas phase occurs downstream of the flow field. The coupling strongly
    affects the local and by this the overall impedance response of the cell and evokes
    the formation of a low-frequency arc in H2/air-PEFC impedance spectra. Based on
    the experimental results, a qualitative model is presented explaining the local
    impedance response of a segmented 200cm2H2/air PEFC.
article_number: B383
article_processing_charge: No
article_type: original
author:
- first_name: I. A.
  full_name: Schneider, I. A.
  last_name: Schneider
- first_name: Stefan Alexander
  full_name: Freunberger, Stefan Alexander
  id: A8CA28E6-CE23-11E9-AD2D-EC27E6697425
  last_name: Freunberger
  orcid: 0000-0003-2902-5319
- first_name: D.
  full_name: Kramer, D.
  last_name: Kramer
- first_name: A.
  full_name: Wokaun, A.
  last_name: Wokaun
- first_name: G. G.
  full_name: Scherer, G. G.
  last_name: Scherer
citation:
  ama: 'Schneider IA, Freunberger SA, Kramer D, Wokaun A, Scherer GG. Oscillations
    in gas channels: Part I. The forgotten player in impedance spectroscopy in PEFCs.
    <i>Journal of The Electrochemical Society</i>. 2007;154(4). doi:<a href="https://doi.org/10.1149/1.2435706">10.1149/1.2435706</a>'
  apa: 'Schneider, I. A., Freunberger, S. A., Kramer, D., Wokaun, A., &#38; Scherer,
    G. G. (2007). Oscillations in gas channels: Part I. The forgotten player in impedance
    spectroscopy in PEFCs. <i>Journal of The Electrochemical Society</i>. The Electrochemical
    Society. <a href="https://doi.org/10.1149/1.2435706">https://doi.org/10.1149/1.2435706</a>'
  chicago: 'Schneider, I. A., Stefan Alexander Freunberger, D. Kramer, A. Wokaun,
    and G. G. Scherer. “Oscillations in Gas Channels: Part I. The Forgotten Player
    in Impedance Spectroscopy in PEFCs.” <i>Journal of The Electrochemical Society</i>.
    The Electrochemical Society, 2007. <a href="https://doi.org/10.1149/1.2435706">https://doi.org/10.1149/1.2435706</a>.'
  ieee: 'I. A. Schneider, S. A. Freunberger, D. Kramer, A. Wokaun, and G. G. Scherer,
    “Oscillations in gas channels: Part I. The forgotten player in impedance spectroscopy
    in PEFCs,” <i>Journal of The Electrochemical Society</i>, vol. 154, no. 4. The
    Electrochemical Society, 2007.'
  ista: 'Schneider IA, Freunberger SA, Kramer D, Wokaun A, Scherer GG. 2007. Oscillations
    in gas channels: Part I. The forgotten player in impedance spectroscopy in PEFCs.
    Journal of The Electrochemical Society. 154(4), B383.'
  mla: 'Schneider, I. A., et al. “Oscillations in Gas Channels: Part I. The Forgotten
    Player in Impedance Spectroscopy in PEFCs.” <i>Journal of The Electrochemical
    Society</i>, vol. 154, no. 4, B383, The Electrochemical Society, 2007, doi:<a
    href="https://doi.org/10.1149/1.2435706">10.1149/1.2435706</a>.'
  short: I.A. Schneider, S.A. Freunberger, D. Kramer, A. Wokaun, G.G. Scherer, Journal
    of The Electrochemical Society 154 (2007).
date_created: 2020-01-15T12:22:31Z
date_published: 2007-02-09T00:00:00Z
date_updated: 2021-01-12T08:13:05Z
day: '09'
doi: 10.1149/1.2435706
extern: '1'
intvolume: '       154'
issue: '4'
language:
- iso: eng
month: '02'
oa_version: None
publication: Journal of The Electrochemical Society
publication_identifier:
  issn:
  - 0013-4651
publication_status: published
publisher: The Electrochemical Society
quality_controlled: '1'
status: public
title: 'Oscillations in gas channels: Part I. The forgotten player in impedance spectroscopy
  in PEFCs'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 154
year: '2007'
...
---
_id: '7704'
abstract:
- lang: eng
  text: Gradients of axon guidance molecules instruct the formation of continuous
    neural maps, such as the retinotopic map in the vertebrate visual system. Here
    we show that molecular gradients can also instruct the formation of a discrete
    neural map. In the fly olfactory system, axons of 50 classes of olfactory receptor
    neurons (ORNs) and dendrites of 50 classes of projection neurons (PNs) form one-to-one
    connections at discrete units called glomeruli. We provide expression, loss- and
    gain-of-function data to demonstrate that the levels of transmembrane Semaphorin-1a
    (Sema-1a), acting cell-autonomously as a receptor or part of a receptor complex,
    direct the dendritic targeting of PNs along the dorsolateral to ventromedial axis
    of the antennal lobe. Sema-1a also regulates PN axon targeting in higher olfactory
    centers. Thus, graded expression of Sema-1a contributes to connection specificity
    from ORNs to PNs and then to higher brain centers, ensuring proper representation
    of olfactory information in the brain.
article_processing_charge: No
article_type: original
author:
- first_name: Takaki
  full_name: Komiyama, Takaki
  last_name: Komiyama
- first_name: Lora Beatrice Jaeger
  full_name: Sweeney, Lora Beatrice Jaeger
  id: 56BE8254-C4F0-11E9-8E45-0B23E6697425
  last_name: Sweeney
  orcid: 0000-0001-9242-5601
- first_name: Oren
  full_name: Schuldiner, Oren
  last_name: Schuldiner
- first_name: K. Christopher
  full_name: Garcia, K. Christopher
  last_name: Garcia
- first_name: Liqun
  full_name: Luo, Liqun
  last_name: Luo
citation:
  ama: Komiyama T, Sweeney LB, Schuldiner O, Garcia KC, Luo L. Graded expression of
    semaphorin-1a cell-autonomously directs dendritic targeting of olfactory projection
    neurons. <i>Cell</i>. 2007;128(2):399-410. doi:<a href="https://doi.org/10.1016/j.cell.2006.12.028">10.1016/j.cell.2006.12.028</a>
  apa: Komiyama, T., Sweeney, L. B., Schuldiner, O., Garcia, K. C., &#38; Luo, L.
    (2007). Graded expression of semaphorin-1a cell-autonomously directs dendritic
    targeting of olfactory projection neurons. <i>Cell</i>. Elsevier. <a href="https://doi.org/10.1016/j.cell.2006.12.028">https://doi.org/10.1016/j.cell.2006.12.028</a>
  chicago: Komiyama, Takaki, Lora B. Sweeney, Oren Schuldiner, K. Christopher Garcia,
    and Liqun Luo. “Graded Expression of Semaphorin-1a Cell-Autonomously Directs Dendritic
    Targeting of Olfactory Projection Neurons.” <i>Cell</i>. Elsevier, 2007. <a href="https://doi.org/10.1016/j.cell.2006.12.028">https://doi.org/10.1016/j.cell.2006.12.028</a>.
  ieee: T. Komiyama, L. B. Sweeney, O. Schuldiner, K. C. Garcia, and L. Luo, “Graded
    expression of semaphorin-1a cell-autonomously directs dendritic targeting of olfactory
    projection neurons,” <i>Cell</i>, vol. 128, no. 2. Elsevier, pp. 399–410, 2007.
  ista: Komiyama T, Sweeney LB, Schuldiner O, Garcia KC, Luo L. 2007. Graded expression
    of semaphorin-1a cell-autonomously directs dendritic targeting of olfactory projection
    neurons. Cell. 128(2), 399–410.
  mla: Komiyama, Takaki, et al. “Graded Expression of Semaphorin-1a Cell-Autonomously
    Directs Dendritic Targeting of Olfactory Projection Neurons.” <i>Cell</i>, vol.
    128, no. 2, Elsevier, 2007, pp. 399–410, doi:<a href="https://doi.org/10.1016/j.cell.2006.12.028">10.1016/j.cell.2006.12.028</a>.
  short: T. Komiyama, L.B. Sweeney, O. Schuldiner, K.C. Garcia, L. Luo, Cell 128 (2007)
    399–410.
date_created: 2020-04-30T10:37:08Z
date_published: 2007-01-26T00:00:00Z
date_updated: 2024-01-31T10:14:48Z
day: '26'
doi: 10.1016/j.cell.2006.12.028
extern: '1'
intvolume: '       128'
issue: '2'
language:
- iso: eng
month: '01'
oa_version: None
page: 399-410
publication: Cell
publication_identifier:
  issn:
  - 0092-8674
publication_status: published
publisher: Elsevier
quality_controlled: '1'
status: public
title: Graded expression of semaphorin-1a cell-autonomously directs dendritic targeting
  of olfactory projection neurons
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 128
year: '2007'
...
---
_id: '7705'
abstract:
- lang: eng
  text: Axon-axon interactions have been implicated in neural circuit assembly, but
    the underlying mechanisms are poorly understood. Here, we show that in the Drosophila
    antennal lobe, early-arriving axons of olfactory receptor neurons (ORNs) from
    the antenna are required for the proper targeting of late-arriving ORN axons from
    the maxillary palp (MP). Semaphorin-1a is required for targeting of all MP but
    only half of the antennal ORN classes examined. Sema-1a acts nonautonomously to
    control ORN axon-axon interactions, in contrast to its cell-autonomous function
    in olfactory projection neurons. Phenotypic and genetic interaction analyses implicate
    PlexinA as the Sema-1a receptor in ORN targeting. Sema-1a on antennal ORN axons
    is required for correct targeting of MP axons within the antennal lobe, while
    interactions amongst MP axons facilitate their entry into the antennal lobe. We
    propose that Sema-1a/PlexinA-mediated repulsion provides a mechanism by which
    early-arriving ORN axons constrain the target choices of late-arriving axons.
article_processing_charge: No
article_type: original
author:
- first_name: Lora Beatrice Jaeger
  full_name: Sweeney, Lora Beatrice Jaeger
  id: 56BE8254-C4F0-11E9-8E45-0B23E6697425
  last_name: Sweeney
  orcid: 0000-0001-9242-5601
- first_name: Africa
  full_name: Couto, Africa
  last_name: Couto
- first_name: Ya-Hui
  full_name: Chou, Ya-Hui
  last_name: Chou
- first_name: Daniela
  full_name: Berdnik, Daniela
  last_name: Berdnik
- first_name: Barry J.
  full_name: Dickson, Barry J.
  last_name: Dickson
- first_name: Liqun
  full_name: Luo, Liqun
  last_name: Luo
- first_name: Takaki
  full_name: Komiyama, Takaki
  last_name: Komiyama
citation:
  ama: Sweeney LB, Couto A, Chou Y-H, et al. Temporal target restriction of olfactory
    receptor neurons by semaphorin-1a/plexinA-mediated axon-axon interactions. <i>Neuron</i>.
    2007;53(2):185-200. doi:<a href="https://doi.org/10.1016/j.neuron.2006.12.022">10.1016/j.neuron.2006.12.022</a>
  apa: Sweeney, L. B., Couto, A., Chou, Y.-H., Berdnik, D., Dickson, B. J., Luo, L.,
    &#38; Komiyama, T. (2007). Temporal target restriction of olfactory receptor neurons
    by semaphorin-1a/plexinA-mediated axon-axon interactions. <i>Neuron</i>. Elsevier.
    <a href="https://doi.org/10.1016/j.neuron.2006.12.022">https://doi.org/10.1016/j.neuron.2006.12.022</a>
  chicago: Sweeney, Lora B., Africa Couto, Ya-Hui Chou, Daniela Berdnik, Barry J.
    Dickson, Liqun Luo, and Takaki Komiyama. “Temporal Target Restriction of Olfactory
    Receptor Neurons by Semaphorin-1a/PlexinA-Mediated Axon-Axon Interactions.” <i>Neuron</i>.
    Elsevier, 2007. <a href="https://doi.org/10.1016/j.neuron.2006.12.022">https://doi.org/10.1016/j.neuron.2006.12.022</a>.
  ieee: L. B. Sweeney <i>et al.</i>, “Temporal target restriction of olfactory receptor
    neurons by semaphorin-1a/plexinA-mediated axon-axon interactions,” <i>Neuron</i>,
    vol. 53, no. 2. Elsevier, pp. 185–200, 2007.
  ista: Sweeney LB, Couto A, Chou Y-H, Berdnik D, Dickson BJ, Luo L, Komiyama T. 2007.
    Temporal target restriction of olfactory receptor neurons by semaphorin-1a/plexinA-mediated
    axon-axon interactions. Neuron. 53(2), 185–200.
  mla: Sweeney, Lora B., et al. “Temporal Target Restriction of Olfactory Receptor
    Neurons by Semaphorin-1a/PlexinA-Mediated Axon-Axon Interactions.” <i>Neuron</i>,
    vol. 53, no. 2, Elsevier, 2007, pp. 185–200, doi:<a href="https://doi.org/10.1016/j.neuron.2006.12.022">10.1016/j.neuron.2006.12.022</a>.
  short: L.B. Sweeney, A. Couto, Y.-H. Chou, D. Berdnik, B.J. Dickson, L. Luo, T.
    Komiyama, Neuron 53 (2007) 185–200.
date_created: 2020-04-30T10:37:24Z
date_published: 2007-01-18T00:00:00Z
date_updated: 2024-01-31T10:14:39Z
day: '18'
doi: 10.1016/j.neuron.2006.12.022
extern: '1'
intvolume: '        53'
issue: '2'
language:
- iso: eng
month: '01'
oa_version: None
page: 185-200
publication: Neuron
publication_identifier:
  issn:
  - 0896-6273
publication_status: published
publisher: Elsevier
quality_controlled: '1'
status: public
title: Temporal target restriction of olfactory receptor neurons by semaphorin-1a/plexinA-mediated
  axon-axon interactions
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 53
year: '2007'
...
---
_id: '7753'
abstract:
- lang: eng
  text: 'In many species, females show reduced expression of a trait that is under
    sexual selection in males, and this expression is thought to be maintained through
    genetic associations with the male phenotype. However, there is also the potential
    for the female trait to convey an advantage in intrasexual conflicts over resources.
    We tested this hypothesis in a feral population of Soay sheep, in which males
    and females have a polymorphism for horn development, producing either full (normal
    horned), reduced (scurred) or no (polled, females only) horns. During the lambing
    period, females who possessed horns were more likely to initiate and win aggressive
    interactions, independent of age, weight and birthing status. The occurrence of
    aggression was also context dependent, decreasing over the lambing period and
    associated with local density. Our results demonstrate that a trait that confers
    benefits to males during intrasexual competition for mates may also be used by
    females in intrasexual competition over resources: males use weaponry to gain
    mates, whereas females use weaponry to gain food.'
article_processing_charge: No
article_type: original
author:
- first_name: Matthew Richard
  full_name: Robinson, Matthew Richard
  id: E5D42276-F5DA-11E9-8E24-6303E6697425
  last_name: Robinson
  orcid: 0000-0001-8982-8813
- first_name: Loeske E.B
  full_name: Kruuk, Loeske E.B
  last_name: Kruuk
citation:
  ama: 'Robinson MR, Kruuk LE. Function of weaponry in females: The use of horns in
    intrasexual competition for resources in female Soay sheep. <i>Biology Letters</i>.
    2007;3(6):651-654. doi:<a href="https://doi.org/10.1098/rsbl.2007.0278">10.1098/rsbl.2007.0278</a>'
  apa: 'Robinson, M. R., &#38; Kruuk, L. E. . (2007). Function of weaponry in females:
    The use of horns in intrasexual competition for resources in female Soay sheep.
    <i>Biology Letters</i>. The Royal Society. <a href="https://doi.org/10.1098/rsbl.2007.0278">https://doi.org/10.1098/rsbl.2007.0278</a>'
  chicago: 'Robinson, Matthew Richard, and Loeske E.B Kruuk. “Function of Weaponry
    in Females: The Use of Horns in Intrasexual Competition for Resources in Female
    Soay Sheep.” <i>Biology Letters</i>. The Royal Society, 2007. <a href="https://doi.org/10.1098/rsbl.2007.0278">https://doi.org/10.1098/rsbl.2007.0278</a>.'
  ieee: 'M. R. Robinson and L. E. . Kruuk, “Function of weaponry in females: The use
    of horns in intrasexual competition for resources in female Soay sheep,” <i>Biology
    Letters</i>, vol. 3, no. 6. The Royal Society, pp. 651–654, 2007.'
  ista: 'Robinson MR, Kruuk LE. 2007. Function of weaponry in females: The use of
    horns in intrasexual competition for resources in female Soay sheep. Biology Letters.
    3(6), 651–654.'
  mla: 'Robinson, Matthew Richard, and Loeske E. .. Kruuk. “Function of Weaponry in
    Females: The Use of Horns in Intrasexual Competition for Resources in Female Soay
    Sheep.” <i>Biology Letters</i>, vol. 3, no. 6, The Royal Society, 2007, pp. 651–54,
    doi:<a href="https://doi.org/10.1098/rsbl.2007.0278">10.1098/rsbl.2007.0278</a>.'
  short: M.R. Robinson, L.E.. Kruuk, Biology Letters 3 (2007) 651–654.
date_created: 2020-04-30T11:02:28Z
date_published: 2007-08-21T00:00:00Z
date_updated: 2021-01-12T08:15:18Z
day: '21'
doi: 10.1098/rsbl.2007.0278
extern: '1'
external_id:
  pmid:
  - '17711817'
intvolume: '         3'
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1098/rsbl.2007.0278
month: '08'
oa: 1
oa_version: Published Version
page: 651-654
pmid: 1
publication: Biology Letters
publication_identifier:
  issn:
  - 1744-9561
  - 1744-957X
publication_status: published
publisher: The Royal Society
quality_controlled: '1'
status: public
title: 'Function of weaponry in females: The use of horns in intrasexual competition
  for resources in female Soay sheep'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 3
year: '2007'
...
---
_id: '4559'
abstract:
- lang: eng
  text: |-
    We study games played on graphs with omega-regular conditions specified as parity, Rabin, Streett or Muller conditions. These games have applications in the verification, synthesis, modeling, testing, and compatibility checking of reactive systems. Important distinctions between graph games are as follows: (a) turn-based vs. concurrent games, depending on whether at a state of the game only a single player makes a move, or players make moves simultaneously; (b) deterministic vs. stochastic, depending on whether the transition function is a deterministic or a probabilistic function over successor states; and (c) zero-sum vs. non-zero-sum, depending on whether the objectives of the players are strictly conflicting or not.

    We establish that the decision problem for turn-based stochastic zero-sum games with Rabin, Streett, and Muller objectives are NP-complete, coNP-complete, and PSPACE-complete, respectively, substantially improving the previously known 3EXPTIME bound. We also present strategy improvement style algorithms for turn-based stochastic Rabin and Streett games. In the case of concurrent stochastic zero-sum games with parity objectives we obtain a PSPACE bound, again improving the previously known 3EXPTIME bound. As a consequence, concurrent stochastic zero-sum games with Rabin, Streett, and Muller objectives can be solved in EXPSPACE, improving the previously known 4EXPTIME bound. We also present an elementary and combinatorial proof of the existence of memoryless \epsilon-optimal strategies in concurrent stochastic games with reachability objectives, for all real \epsilon&gt;0, where an \epsilon-optimal strategy achieves the value of the game with in \epsilon against all strategies of the opponent. We also use the proof techniques to present a strategy improvement style algorithm for concurrent stochastic reachability games.

    We then go beyond \omega-regular objectives and study the complexity of an important class of quantitative objectives, namely, limit-average objectives. In the case of limit-average games, the states of the graph is labeled with rewards and the goal is to maximize the long-run average of the rewards. We show that concurrent stochastic zero-sum games with limit-average objectives can be solved in EXPTIME.

    Finally, we introduce a new notion of equilibrium, called secure equilibrium, in non-zero-sum games which captures the notion of conditional competitiveness. We prove the existence of unique maximal secure equilibrium payoff profiles in turn-based deterministic games, and present algorithms to compute such payoff profiles. We also show how the notion of secure equilibrium extends the assume-guarantee style of reasoning in the game theoretic framework.
acknowledgement: Technical Report No. UCB/EECS-2007-122
author:
- first_name: Krishnendu
  full_name: Krishnendu Chatterjee
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
citation:
  ama: Chatterjee K. Stochastic ω-Regular Games. 2007:1-247.
  apa: Chatterjee, K. (2007). <i>Stochastic ω-Regular Games</i>. University of California,
    Berkeley.
  chicago: Chatterjee, Krishnendu. “Stochastic ω-Regular Games.” University of California,
    Berkeley, 2007.
  ieee: K. Chatterjee, “Stochastic ω-Regular Games,” University of California, Berkeley,
    2007.
  ista: Chatterjee K. 2007. Stochastic ω-Regular Games. University of California,
    Berkeley.
  mla: Chatterjee, Krishnendu. <i>Stochastic ω-Regular Games</i>. University of California,
    Berkeley, 2007, pp. 1–247.
  short: K. Chatterjee, Stochastic ω-Regular Games, University of California, Berkeley,
    2007.
date_created: 2018-12-11T12:09:29Z
date_published: 2007-10-08T00:00:00Z
date_updated: 2021-01-12T07:59:42Z
day: '08'
extern: 1
main_file_link:
- open_access: '0'
  url: http://chess.eecs.berkeley.edu/pubs/462.html
month: '10'
page: 1 - 247
publication_status: published
publisher: University of California, Berkeley
publist_id: '150'
quality_controlled: 0
status: public
title: Stochastic ω-Regular Games
type: dissertation
year: '2007'
...
---
_id: '4566'
abstract:
- lang: eng
  text: "Complex system design today calls for compositional design and implementation.
    However each component is designed with certain assumptions about the environment
    it is meant to operate in, and delivering certain guarantees if those assumptions
    are satisfied; numerous inter-component interaction errors are introduced in the
    manual and error-prone integration process as there is little support in design
    environments for machine-readably representing these assumptions and guarantees
    and automatically checking consistency during integration.\r\n\r\nBased on Interface
    Automata we propose a framework for compositional design and analysis of systems:
    a set of domain-specific automata-theoretic type systems for compositional system
    specification and analysis by behavioral specification of open systems. We focus
    on three different domains: component-based hardware systems communicating on
    bidirectional wires. concurrent distributed recursive message-passing software
    systems, and embedded software system components operating in resource-constrained
    environments. For these domains we present approaches to formally represent the
    assumptions and conditional guarantees between interacting open system components.
    Composition of such components produces new components with the appropriate assumptions
    and guarantees. We check satisfaction of temporal logic specifications by such
    components, and the substitutability of one component with another in an arbitrary
    context. Using this framework one can analyze large systems incrementally without
    needing extensive summary information to close the system at each stage. Furthermore,
    we focus only on the inter-component interaction behavior without dealing with
    the full implementation details of each component. Many of the merits of automata-theoretic
    model-checking are combined with the compositionality afforded by type-system
    based techniques. We also present an integer-based extension of the conventional
    boolean verification framework motivated by our interface formalism for embedded
    software components.\r\n\r\nOur algorithms for checking the behavioral compatibility
    of component interfaces are available in our tool Chic, which can be used as a
    plug-in for the Java IDE JBuilder and the heterogenous modeling and design environment
    Ptolemy II.\r\n\r\nFinally, we address the complementary problem of partitioning
    a large system into meaningful coherent components by analyzing the interaction
    patterns between its basic elements. We demonstrate the usefulness of our partitioning
    approach by evaluating its efficacy in improving unit-test branch coverage for
    a large software system implemented in C."
article_processing_charge: No
author:
- first_name: Arindam
  full_name: Chakrabarti, Arindam
  last_name: Chakrabarti
citation:
  ama: Chakrabarti A. A framework for compositional design and analysis of systems.
    2007:1-244.
  apa: Chakrabarti, A. (2007). <i>A framework for compositional design and analysis
    of systems</i>. University of California, Berkeley.
  chicago: Chakrabarti, Arindam. “A Framework for Compositional Design and Analysis
    of Systems.” University of California, Berkeley, 2007.
  ieee: A. Chakrabarti, “A framework for compositional design and analysis of systems,”
    University of California, Berkeley, 2007.
  ista: Chakrabarti A. 2007. A framework for compositional design and analysis of
    systems. University of California, Berkeley.
  mla: Chakrabarti, Arindam. <i>A Framework for Compositional Design and Analysis
    of Systems</i>. University of California, Berkeley, 2007, pp. 1–244.
  short: A. Chakrabarti, A Framework for Compositional Design and Analysis of Systems,
    University of California, Berkeley, 2007.
date_created: 2018-12-11T12:09:31Z
date_published: 2007-12-20T00:00:00Z
date_updated: 2021-01-12T07:59:45Z
day: '20'
extern: '1'
language:
- iso: eng
month: '12'
oa_version: None
page: 1 - 244
publication_status: published
publisher: University of California, Berkeley
publist_id: '145'
status: public
supervisor:
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000-0002-2985-7724
- first_name: George
  full_name: Necula, George
  last_name: Necula
- first_name: Edward
  full_name: Lee, Edward
  last_name: Lee
- first_name: Jack
  full_name: Silver, Jack
  last_name: Silver
title: A framework for compositional design and analysis of systems
type: dissertation
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2007'
...
---
_id: '4567'
abstract:
- lang: eng
  text: BLAST is an automatic verification tool for checking temporal safety properties
    of C programs. Given a C program and a temporal safety property, BLAST either
    statically proves that the program satisfies the safety property, or provides
    an execution path that exhibits a violation of the property (or, since the problem
    is undecidable, does not terminate). BLAST constructs, explores, and refines abstractions
    of the program state space based on lazy predicate abstraction and interpolation-based
    predicate discovery. This paper gives an introduction to BLAST and demonstrates,
    through two case studies, how it can be applied to program verification and test-case
    generation. In the first case study, we use BLAST to statically prove memory safety
    for C programs. We use CCured, a type-based memory-safety analyzer, to annotate
    a program with run-time assertions that check for safe memory operations. Then,
    we use BLAST to remove as many of the run-time checks as possible (by proving
    that these checks never fail), and to generate execution scenarios that violate
    the assertions for the remaining run-time checks. In our second case study, we
    use BLAST to automatically generate test suites that guarantee full coverage with
    respect to a given predicate. Given a C program and a target predicate p, BLAST
    determines the program locations q for which there exists a program execution
    that reaches q with p true, and automatically generates a set of test vectors
    that cause such executions. Our experiments show that BLAST can provide automated,
    precise, and scalable analysis for C programs.
author:
- first_name: Dirk
  full_name: Beyer, Dirk
  last_name: Beyer
- first_name: Thomas A
  full_name: Thomas Henzinger
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Ranjit
  full_name: Jhala, Ranjit
  last_name: Jhala
- first_name: Ritankar
  full_name: Majumdar, Ritankar S
  last_name: Majumdar
citation:
  ama: 'Beyer D, Henzinger TA, Jhala R, Majumdar R. The software model checker BLAST:
    Applications to software engineering. <i>International Journal on Software Tools
    for Technology Transfer</i>. 2007;9(5):505-525. doi:<a href="https://doi.org/10.1007/s10009-007-0044-z">10.1007/s10009-007-0044-z</a>'
  apa: 'Beyer, D., Henzinger, T. A., Jhala, R., &#38; Majumdar, R. (2007). The software
    model checker BLAST: Applications to software engineering. <i>International Journal
    on Software Tools for Technology Transfer</i>. Springer. <a href="https://doi.org/10.1007/s10009-007-0044-z">https://doi.org/10.1007/s10009-007-0044-z</a>'
  chicago: 'Beyer, Dirk, Thomas A Henzinger, Ranjit Jhala, and Ritankar Majumdar.
    “The Software Model Checker BLAST: Applications to Software Engineering.” <i>International
    Journal on Software Tools for Technology Transfer</i>. Springer, 2007. <a href="https://doi.org/10.1007/s10009-007-0044-z">https://doi.org/10.1007/s10009-007-0044-z</a>.'
  ieee: 'D. Beyer, T. A. Henzinger, R. Jhala, and R. Majumdar, “The software model
    checker BLAST: Applications to software engineering,” <i>International Journal
    on Software Tools for Technology Transfer</i>, vol. 9, no. 5. Springer, pp. 505–525,
    2007.'
  ista: 'Beyer D, Henzinger TA, Jhala R, Majumdar R. 2007. The software model checker
    BLAST: Applications to software engineering. International Journal on Software
    Tools for Technology Transfer. 9(5), 505–525.'
  mla: 'Beyer, Dirk, et al. “The Software Model Checker BLAST: Applications to Software
    Engineering.” <i>International Journal on Software Tools for Technology Transfer</i>,
    vol. 9, no. 5, Springer, 2007, pp. 505–25, doi:<a href="https://doi.org/10.1007/s10009-007-0044-z">10.1007/s10009-007-0044-z</a>.'
  short: D. Beyer, T.A. Henzinger, R. Jhala, R. Majumdar, International Journal on
    Software Tools for Technology Transfer 9 (2007) 505–525.
date_created: 2018-12-11T12:09:31Z
date_published: 2007-10-01T00:00:00Z
date_updated: 2021-01-12T07:59:45Z
day: '01'
doi: 10.1007/s10009-007-0044-z
extern: 1
intvolume: '         9'
issue: '5'
month: '10'
page: 505 - 525
publication: International Journal on Software Tools for Technology Transfer
publication_status: published
publisher: Springer
publist_id: '139'
quality_controlled: 0
status: public
title: 'The software model checker BLAST: Applications to software engineering'
type: journal_article
volume: 9
year: '2007'
...
---
_id: '4570'
abstract:
- lang: eng
  text: We consider the minimum-time reachability problem in concurrent two-player
    timed automaton game structures. We show how to compute the minimum time needed
    by a player to reach a target location against all possible choices of the opponent.
    We do not put any syntactic restriction on the game structure, nor do we require
    any player to guarantee time divergence. We only require players to use receptive
    strategies which do not block time. The minimal time is computed in part using
    a fixpoint expression, which we show can be evaluated on equivalence classes of
    a non-trivial extension of the clock-region equivalence relation for timed automata.
acknowledgement: This research was supported in part by the NSF grant CCR-0225610
  and by the Swiss National Science Foundation.
alternative_title:
- LNCS
author:
- first_name: Thomas
  full_name: Brihaye, Thomas
  last_name: Brihaye
- first_name: Thomas A
  full_name: Thomas Henzinger
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Vinayak
  full_name: Prabhu, Vinayak S
  last_name: Prabhu
- first_name: Jean
  full_name: Raskin, Jean-François
  last_name: Raskin
citation:
  ama: 'Brihaye T, Henzinger TA, Prabhu V, Raskin J. Minimum-time reachability in
    timed games. In: Vol 4596. Springer; 2007:825-837. doi:<a href="https://doi.org/10.1007/978-3-540-73420-8_71">10.1007/978-3-540-73420-8_71</a>'
  apa: 'Brihaye, T., Henzinger, T. A., Prabhu, V., &#38; Raskin, J. (2007). Minimum-time
    reachability in timed games (Vol. 4596, pp. 825–837). Presented at the ICALP:
    Automata, Languages and Programming, Springer. <a href="https://doi.org/10.1007/978-3-540-73420-8_71">https://doi.org/10.1007/978-3-540-73420-8_71</a>'
  chicago: Brihaye, Thomas, Thomas A Henzinger, Vinayak Prabhu, and Jean Raskin. “Minimum-Time
    Reachability in Timed Games,” 4596:825–37. Springer, 2007. <a href="https://doi.org/10.1007/978-3-540-73420-8_71">https://doi.org/10.1007/978-3-540-73420-8_71</a>.
  ieee: 'T. Brihaye, T. A. Henzinger, V. Prabhu, and J. Raskin, “Minimum-time reachability
    in timed games,” presented at the ICALP: Automata, Languages and Programming,
    2007, vol. 4596, pp. 825–837.'
  ista: 'Brihaye T, Henzinger TA, Prabhu V, Raskin J. 2007. Minimum-time reachability
    in timed games. ICALP: Automata, Languages and Programming, LNCS, vol. 4596, 825–837.'
  mla: Brihaye, Thomas, et al. <i>Minimum-Time Reachability in Timed Games</i>. Vol.
    4596, Springer, 2007, pp. 825–37, doi:<a href="https://doi.org/10.1007/978-3-540-73420-8_71">10.1007/978-3-540-73420-8_71</a>.
  short: T. Brihaye, T.A. Henzinger, V. Prabhu, J. Raskin, in:, Springer, 2007, pp.
    825–837.
conference:
  name: 'ICALP: Automata, Languages and Programming'
date_created: 2018-12-11T12:09:32Z
date_published: 2007-06-29T00:00:00Z
date_updated: 2021-01-12T07:59:47Z
day: '29'
doi: 10.1007/978-3-540-73420-8_71
extern: 1
intvolume: '      4596'
month: '06'
page: 825 - 837
publication_status: published
publisher: Springer
publist_id: '142'
quality_controlled: 0
status: public
title: Minimum-time reachability in timed games
type: conference
volume: 4596
year: '2007'
...
---
_id: '4571'
abstract:
- lang: eng
  text: The success of software verification depends on the ability to find a suitable
    abstraction of a program automatically. We propose a method for automated abstraction
    refinement which overcomes some limitations of current predicate discovery schemes.
    In current schemes, the cause of a false alarm is identified as an infeasible
    error path, and the abstraction is refined in order to remove that path. By contrast,
    we view the cause of a false alarm -the spurious counterexample- as a full-fledged
    program, namely, a fragment of the original program whose control-flow graph may
    contain loops and represent unbounded computations. There are two advantages to
    using such path programs as counterexamples for abstraction refinement. First,
    we can bring the whole machinery of program analysis to bear on path programs,
    which are typically small compared to the original program. Specifically, we use
    constraint-based invariant generation to automatically infer invariants of path
    programs-so-called path invariants. Second, we use path invariants for abstraction
    refinement in order to remove not one infeasibility at a time, but at once all
    (possibly infinitely many) infeasible error computations that are represented
    by a path program. Unlike previous predicate discovery schemes, our method handles
    loops without unrolling them; it infers abstractions that involve universal quantification
    and naturally incorporates disjunctive reasoning.
author:
- first_name: Dirk
  full_name: Beyer, Dirk
  last_name: Beyer
- first_name: Thomas A
  full_name: Thomas Henzinger
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000−0002−2985−7724
- first_name: Ritankar
  full_name: Majumdar, Ritankar S
  last_name: Majumdar
- first_name: Andrey
  full_name: Rybalchenko, Andrey
  last_name: Rybalchenko
citation:
  ama: 'Beyer D, Henzinger TA, Majumdar R, Rybalchenko A. Path invariants. In: ACM;
    2007:300-309. doi:<a href="https://doi.org/10.1145/1250734.1250769">10.1145/1250734.1250769</a>'
  apa: 'Beyer, D., Henzinger, T. A., Majumdar, R., &#38; Rybalchenko, A. (2007). Path
    invariants (pp. 300–309). Presented at the PLDI: Programming Languages Design
    and Implementation, ACM. <a href="https://doi.org/10.1145/1250734.1250769">https://doi.org/10.1145/1250734.1250769</a>'
  chicago: Beyer, Dirk, Thomas A Henzinger, Ritankar Majumdar, and Andrey Rybalchenko.
    “Path Invariants,” 300–309. ACM, 2007. <a href="https://doi.org/10.1145/1250734.1250769">https://doi.org/10.1145/1250734.1250769</a>.
  ieee: 'D. Beyer, T. A. Henzinger, R. Majumdar, and A. Rybalchenko, “Path invariants,”
    presented at the PLDI: Programming Languages Design and Implementation, 2007,
    pp. 300–309.'
  ista: 'Beyer D, Henzinger TA, Majumdar R, Rybalchenko A. 2007. Path invariants.
    PLDI: Programming Languages Design and Implementation, 300–309.'
  mla: Beyer, Dirk, et al. <i>Path Invariants</i>. ACM, 2007, pp. 300–09, doi:<a href="https://doi.org/10.1145/1250734.1250769">10.1145/1250734.1250769</a>.
  short: D. Beyer, T.A. Henzinger, R. Majumdar, A. Rybalchenko, in:, ACM, 2007, pp.
    300–309.
conference:
  name: 'PLDI: Programming Languages Design and Implementation'
date_created: 2018-12-11T12:09:32Z
date_published: 2007-06-01T00:00:00Z
date_updated: 2021-01-12T07:59:48Z
day: '01'
doi: 10.1145/1250734.1250769
extern: 1
month: '06'
page: 300 - 309
publication_status: published
publisher: ACM
publist_id: '137'
quality_controlled: 0
status: public
title: Path invariants
type: conference
year: '2007'
...
