---
_id: '2149'
abstract:
- lang: eng
text: We investigate the effects of a magnetic field on the dynamics of rotationally
inelastic collisions of open-shell molecules (Σ2, Σ3, and Π2) with closed-shell
atoms. Our treatment makes use of the Fraunhofer model of matter wave scattering
and its recent extension to collisions in electric [M. Lemeshko and B. Friedrich,
J. Chem. Phys. 129, 024301 (2008)] and radiative fields [M. Lemeshko and B. Friedrich,
Int. J. Mass. Spec. 280, 19 (2009)]. A magnetic field aligns the molecule in the
space-fixed frame and thereby alters the effective shape of the diffraction target.
This significantly affects the differential and integral scattering cross sections.
We exemplify our treatment by evaluating the magnetic-field-dependent scattering
characteristics of the He-CaH (XΣ+2), He-O2 (XΣ–3), and He-OH (XΠΩ2) systems at
thermal collision energies. Since the cross sections can be obtained for different
orientations of the magnetic field with respect to the relative velocity vector,
the model also offers predictions about the frontal-versus-lateral steric asymmetry
of the collisions. The steric asymmetry is found to be almost negligible for the
He-OH system, weak for the He-CaH collisions, and strong for the He-O2. While
odd ΔM transitions dominate the He-OH [J=3/2,f→J′,e/f] integral cross sections
in a magnetic field parallel to the relative velocity vector, even ΔM transitions
prevail in the case of the He-CaH (X2Σ+) and He-O2 (XΣ−3) collision systems. For
the latter system, the magnetic field opens inelastic channels that are closed
in the absence of the field. These involve the transitions N=1,J=0→N′, J′ with
J′=N′.
author:
- first_name: Mikhail
full_name: Mikhail Lemeshko
id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
last_name: Lemeshko
orcid: 0000-0002-6990-7802
- first_name: Břetislav
full_name: Friedrich, Břetislav
last_name: Friedrich
citation:
ama: 'Lemeshko M, Friedrich B. Collisions of paramagnetic molecules in magnetic
fields: An analytic model based on Fraunhofer diffraction of matter waves. Physical
Review A - Atomic, Molecular, and Optical Physics. 2009;79(1). doi:10.1103/PhysRevA.79.012718'
apa: 'Lemeshko, M., & Friedrich, B. (2009). Collisions of paramagnetic molecules
in magnetic fields: An analytic model based on Fraunhofer diffraction of matter
waves. Physical Review A - Atomic, Molecular, and Optical Physics. American
Physical Society. https://doi.org/10.1103/PhysRevA.79.012718'
chicago: 'Lemeshko, Mikhail, and Břetislav Friedrich. “Collisions of Paramagnetic
Molecules in Magnetic Fields: An Analytic Model Based on Fraunhofer Diffraction
of Matter Waves.” Physical Review A - Atomic, Molecular, and Optical Physics.
American Physical Society, 2009. https://doi.org/10.1103/PhysRevA.79.012718.'
ieee: 'M. Lemeshko and B. Friedrich, “Collisions of paramagnetic molecules in magnetic
fields: An analytic model based on Fraunhofer diffraction of matter waves,” Physical
Review A - Atomic, Molecular, and Optical Physics, vol. 79, no. 1. American
Physical Society, 2009.'
ista: 'Lemeshko M, Friedrich B. 2009. Collisions of paramagnetic molecules in magnetic
fields: An analytic model based on Fraunhofer diffraction of matter waves. Physical
Review A - Atomic, Molecular, and Optical Physics. 79(1).'
mla: 'Lemeshko, Mikhail, and Břetislav Friedrich. “Collisions of Paramagnetic Molecules
in Magnetic Fields: An Analytic Model Based on Fraunhofer Diffraction of Matter
Waves.” Physical Review A - Atomic, Molecular, and Optical Physics, vol.
79, no. 1, American Physical Society, 2009, doi:10.1103/PhysRevA.79.012718.'
short: M. Lemeshko, B. Friedrich, Physical Review A - Atomic, Molecular, and Optical
Physics 79 (2009).
date_created: 2018-12-11T11:55:59Z
date_published: 2009-01-30T00:00:00Z
date_updated: 2021-01-12T06:55:36Z
day: '30'
doi: 10.1103/PhysRevA.79.012718
extern: 1
intvolume: ' 79'
issue: '1'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/0809.3331
month: '01'
oa: 1
publication: Physical Review A - Atomic, Molecular, and Optical Physics
publication_status: published
publisher: American Physical Society
publist_id: '4875'
quality_controlled: 0
status: public
title: 'Collisions of paramagnetic molecules in magnetic fields: An analytic model
based on Fraunhofer diffraction of matter waves'
type: journal_article
volume: 79
year: '2009'
...
---
_id: '2150'
abstract:
- lang: eng
text: We examine the effects of a linearly polarized nonresonant radiative field
on the dynamics of rotationally inelastic Na+ + N2 collisions at eV collision
energies. Our treatment is based on the Fraunhofer model of matter wave scattering
and its recent extension to collisions in electric fields [M. Lemeshko, B. Friedrich,
J. Chem. Phys. 129 (2008) 024301]. The nonresonant radiative field changes the
effective shape of the target molecule by aligning it in the space-fixed frame.
This markedly alters the differential and integral scattering cross-sections.
As the cross-sections can be evaluated for a polarization of the radiative field
collinear or perpendicular to the relative velocity vector, the model also offers
predictions about steric asymmetry of the collisions.
author:
- first_name: Mikhail
full_name: Mikhail Lemeshko
id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
last_name: Lemeshko
orcid: 0000-0002-6990-7802
- first_name: Břetislav
full_name: Friedrich, Břetislav
last_name: Friedrich
citation:
ama: Lemeshko M, Friedrich B. The effect of a nonresonant radiative field on low-energy
rotationally inelastic Na+ + N2 collisions. International Journal of Mass Spectrometry.
2009;280(1-3):19-25. doi:10.1016/j.ijms.2008.06.010
apa: Lemeshko, M., & Friedrich, B. (2009). The effect of a nonresonant radiative
field on low-energy rotationally inelastic Na+ + N2 collisions. International
Journal of Mass Spectrometry. Elsevier. https://doi.org/10.1016/j.ijms.2008.06.010
chicago: Lemeshko, Mikhail, and Břetislav Friedrich. “The Effect of a Nonresonant
Radiative Field on Low-Energy Rotationally Inelastic Na+ + N2 Collisions.” International
Journal of Mass Spectrometry. Elsevier, 2009. https://doi.org/10.1016/j.ijms.2008.06.010 .
ieee: M. Lemeshko and B. Friedrich, “The effect of a nonresonant radiative field
on low-energy rotationally inelastic Na+ + N2 collisions,” International Journal
of Mass Spectrometry, vol. 280, no. 1–3. Elsevier, pp. 19–25, 2009.
ista: Lemeshko M, Friedrich B. 2009. The effect of a nonresonant radiative field
on low-energy rotationally inelastic Na+ + N2 collisions. International Journal
of Mass Spectrometry. 280(1–3), 19–25.
mla: Lemeshko, Mikhail, and Břetislav Friedrich. “The Effect of a Nonresonant Radiative
Field on Low-Energy Rotationally Inelastic Na+ + N2 Collisions.” International
Journal of Mass Spectrometry, vol. 280, no. 1–3, Elsevier, 2009, pp. 19–25,
doi:10.1016/j.ijms.2008.06.010
.
short: M. Lemeshko, B. Friedrich, International Journal of Mass Spectrometry 280
(2009) 19–25.
date_created: 2018-12-11T11:56:00Z
date_published: 2009-02-01T00:00:00Z
date_updated: 2021-01-12T06:55:37Z
day: '01'
doi: '10.1016/j.ijms.2008.06.010 '
extern: 1
intvolume: ' 280'
issue: 1-3
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/0804.4845
month: '02'
oa: 1
page: 19 - 25
publication: International Journal of Mass Spectrometry
publication_status: published
publisher: Elsevier
publist_id: '4874'
quality_controlled: 0
status: public
title: The effect of a nonresonant radiative field on low-energy rotationally inelastic
Na+ + N2 collisions
type: journal_article
volume: 280
year: '2009'
...
---
_id: '2191'
abstract:
- lang: eng
text: 'By making use of the quantization rule of Raab and Friedrich [Phys. Rev.
A 78, 022707 (2008)], we derive simple and accurate formulae for the number of
rotational states supported by a weakly bound vibrational level of a diatomic
molecule and the rotational constants of any such levels up to the threshold,
and provide a criterion for determining whether a given weakly bound vibrational
level is rotationless. The results depend solely on the long-range part of the
molecular potential and are applicable to halo molecules. '
author:
- first_name: Mikhail
full_name: Mikhail Lemeshko
id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
last_name: Lemeshko
orcid: 0000-0002-6990-7802
- first_name: Břetislav
full_name: Friedrich, Břetislav
last_name: Friedrich
citation:
ama: Lemeshko M, Friedrich B. Rotational and rotationless states of weakly bound
molecules. Physical Review A - Atomic, Molecular, and Optical Physics.
2009;79(5). doi:10.1103/PhysRevA.79.050501
apa: Lemeshko, M., & Friedrich, B. (2009). Rotational and rotationless states
of weakly bound molecules. Physical Review A - Atomic, Molecular, and Optical
Physics. American Physical Society. https://doi.org/10.1103/PhysRevA.79.050501
chicago: Lemeshko, Mikhail, and Břetislav Friedrich. “Rotational and Rotationless
States of Weakly Bound Molecules.” Physical Review A - Atomic, Molecular, and
Optical Physics. American Physical Society, 2009. https://doi.org/10.1103/PhysRevA.79.050501.
ieee: M. Lemeshko and B. Friedrich, “Rotational and rotationless states of weakly
bound molecules,” Physical Review A - Atomic, Molecular, and Optical Physics,
vol. 79, no. 5. American Physical Society, 2009.
ista: Lemeshko M, Friedrich B. 2009. Rotational and rotationless states of weakly
bound molecules. Physical Review A - Atomic, Molecular, and Optical Physics. 79(5).
mla: Lemeshko, Mikhail, and Břetislav Friedrich. “Rotational and Rotationless States
of Weakly Bound Molecules.” Physical Review A - Atomic, Molecular, and Optical
Physics, vol. 79, no. 5, American Physical Society, 2009, doi:10.1103/PhysRevA.79.050501.
short: M. Lemeshko, B. Friedrich, Physical Review A - Atomic, Molecular, and Optical
Physics 79 (2009).
date_created: 2018-12-11T11:56:14Z
date_published: 2009-05-26T00:00:00Z
date_updated: 2021-01-12T06:55:53Z
day: '26'
doi: 10.1103/PhysRevA.79.050501
extern: 1
intvolume: ' 79'
issue: '5'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/0904.0567
month: '05'
oa: 1
publication: Physical Review A - Atomic, Molecular, and Optical Physics
publication_status: published
publisher: American Physical Society
publist_id: '4783'
quality_controlled: 0
status: public
title: Rotational and rotationless states of weakly bound molecules
type: journal_article
volume: 79
year: '2009'
...
---
_id: '2192'
abstract:
- lang: eng
text: We develop an analytic model of thermal state-to-state rotationally inelastic
collisions of asymmetric-top molecules with closed-shell atoms in electric fields
and apply it to the Ar-H2O collision system. The predicted cross sections as well
as the steric asymmetry of the collisions show at fields up to 150 kV/cm characteristic
field-dependent features which can be experimentally tested. Particularly suitable
candidates for such tests are the 000 → 220 and 101→ 221 channels, arising from
the relaxation of the field-free selection rules due to the hybridization of J
states by the field. Averaging over the M' product channels is found to largely
obliterate the orientation effects brought about by the field.
author:
- first_name: Mikhail
full_name: Mikhail Lemeshko
id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
last_name: Lemeshko
orcid: 0000-0002-6990-7802
- first_name: Břetislav
full_name: Friedrich, Břetislav
last_name: Friedrich
citation:
ama: Lemeshko M, Friedrich B. Model analysis of rotationally inelastic Ar + H2O
scattering in an electric field. Journal of Physical Chemistry A. 2009;113(52):15055-15063.
doi:10.1021/jp9051598
apa: Lemeshko, M., & Friedrich, B. (2009). Model analysis of rotationally inelastic
Ar + H2O scattering in an electric field. Journal of Physical Chemistry A.
American Chemical Society. https://doi.org/10.1021/jp9051598
chicago: Lemeshko, Mikhail, and Břetislav Friedrich. “Model Analysis of Rotationally
Inelastic Ar + H2O Scattering in an Electric Field.” Journal of Physical Chemistry
A. American Chemical Society, 2009. https://doi.org/10.1021/jp9051598.
ieee: M. Lemeshko and B. Friedrich, “Model analysis of rotationally inelastic Ar
+ H2O scattering in an electric field,” Journal of Physical Chemistry A,
vol. 113, no. 52. American Chemical Society, pp. 15055–15063, 2009.
ista: Lemeshko M, Friedrich B. 2009. Model analysis of rotationally inelastic Ar
+ H2O scattering in an electric field. Journal of Physical Chemistry A. 113(52),
15055–15063.
mla: Lemeshko, Mikhail, and Břetislav Friedrich. “Model Analysis of Rotationally
Inelastic Ar + H2O Scattering in an Electric Field.” Journal of Physical Chemistry
A, vol. 113, no. 52, American Chemical Society, 2009, pp. 15055–63, doi:10.1021/jp9051598.
short: M. Lemeshko, B. Friedrich, Journal of Physical Chemistry A 113 (2009) 15055–15063.
date_created: 2018-12-11T11:56:14Z
date_published: 2009-12-31T00:00:00Z
date_updated: 2021-01-12T06:55:53Z
day: '31'
doi: 10.1021/jp9051598
extern: 1
intvolume: ' 113'
issue: '52'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/0906.0443
month: '12'
oa: 1
page: 15055 - 15063
publication: Journal of Physical Chemistry A
publication_status: published
publisher: American Chemical Society
publist_id: '4781'
quality_controlled: 0
status: public
title: Model analysis of rotationally inelastic Ar + H2O scattering in an electric
field
type: journal_article
volume: 113
year: '2009'
...
---
_id: '2193'
abstract:
- lang: eng
text: We show that weakly bound molecules can be probed by "shaking" in
a pulsed nonresonant laser field. The field introduces a centrifugal term which
expels the highest vibrational level from the potential that binds it. Our numerical
simulations applied to the Rb2 and KRb Feshbach molecules indicate that shaking
by feasible laser pulses can be used to accurately recover the square of the vibrational
wave function and, by inversion, also the long-range part of the molecular potential.
author:
- first_name: Mikhail
full_name: Mikhail Lemeshko
id: 37CB05FA-F248-11E8-B48F-1D18A9856A87
last_name: Lemeshko
orcid: 0000-0002-6990-7802
- first_name: Břetislav
full_name: Friedrich, Břetislav
last_name: Friedrich
citation:
ama: Lemeshko M, Friedrich B. Probing weakly bound molecules with nonresonant light.
Physical Review Letters. 2009;103(5). doi:10.1103/PhysRevLett.103.053003
apa: Lemeshko, M., & Friedrich, B. (2009). Probing weakly bound molecules with
nonresonant light. Physical Review Letters. American Physical Society.
https://doi.org/10.1103/PhysRevLett.103.053003
chicago: Lemeshko, Mikhail, and Břetislav Friedrich. “Probing Weakly Bound Molecules
with Nonresonant Light.” Physical Review Letters. American Physical Society,
2009. https://doi.org/10.1103/PhysRevLett.103.053003.
ieee: M. Lemeshko and B. Friedrich, “Probing weakly bound molecules with nonresonant
light,” Physical Review Letters, vol. 103, no. 5. American Physical Society,
2009.
ista: Lemeshko M, Friedrich B. 2009. Probing weakly bound molecules with nonresonant
light. Physical Review Letters. 103(5).
mla: Lemeshko, Mikhail, and Břetislav Friedrich. “Probing Weakly Bound Molecules
with Nonresonant Light.” Physical Review Letters, vol. 103, no. 5, American
Physical Society, 2009, doi:10.1103/PhysRevLett.103.053003.
short: M. Lemeshko, B. Friedrich, Physical Review Letters 103 (2009).
date_created: 2018-12-11T11:56:15Z
date_published: 2009-07-31T00:00:00Z
date_updated: 2021-01-12T06:55:54Z
day: '31'
doi: 10.1103/PhysRevLett.103.053003
extern: 1
intvolume: ' 103'
issue: '5'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/0903.0811
month: '07'
oa: 1
publication: Physical Review Letters
publication_status: published
publisher: American Physical Society
publist_id: '4782'
quality_controlled: 0
status: public
title: Probing weakly bound molecules with nonresonant light
type: journal_article
volume: 103
year: '2009'
...
---
_id: '226'
abstract:
- lang: eng
text: The Manin conjecture is established for a split singular del Pezzo surface
of degree four, with singularity type A4.
author:
- first_name: Timothy D
full_name: Timothy Browning
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
- first_name: Ulrich
full_name: Derenthal, Ulrich
last_name: Derenthal
citation:
ama: Browning TD, Derenthal U. Manin’s conjecture for a quartic del Pezzo surface
with A4 singularity. Annales de l’Institut Fourier. 2009;59(3):1231-1265.
doi:10.5802/aif.2462
apa: Browning, T. D., & Derenthal, U. (2009). Manin’s conjecture for a quartic
del Pezzo surface with A4 singularity. Annales de l’Institut Fourier. Association
des Annales de l’Institut Fourier. https://doi.org/10.5802/aif.2462
chicago: Browning, Timothy D, and Ulrich Derenthal. “Manin’s Conjecture for a Quartic
Del Pezzo Surface with A4 Singularity.” Annales de l’Institut Fourier.
Association des Annales de l’Institut Fourier, 2009. https://doi.org/10.5802/aif.2462.
ieee: T. D. Browning and U. Derenthal, “Manin’s conjecture for a quartic del Pezzo
surface with A4 singularity,” Annales de l’Institut Fourier, vol. 59, no.
3. Association des Annales de l’Institut Fourier, pp. 1231–1265, 2009.
ista: Browning TD, Derenthal U. 2009. Manin’s conjecture for a quartic del Pezzo
surface with A4 singularity. Annales de l’Institut Fourier. 59(3), 1231–1265.
mla: Browning, Timothy D., and Ulrich Derenthal. “Manin’s Conjecture for a Quartic
Del Pezzo Surface with A4 Singularity.” Annales de l’Institut Fourier,
vol. 59, no. 3, Association des Annales de l’Institut Fourier, 2009, pp. 1231–65,
doi:10.5802/aif.2462.
short: T.D. Browning, U. Derenthal, Annales de l’Institut Fourier 59 (2009) 1231–1265.
date_created: 2018-12-11T11:45:18Z
date_published: 2009-01-01T00:00:00Z
date_updated: 2021-01-12T06:56:21Z
day: '01'
doi: 10.5802/aif.2462
extern: 1
intvolume: ' 59'
issue: '3'
month: '01'
page: 1231 - 1265
publication: Annales de l'Institut Fourier
publication_status: published
publisher: Association des Annales de l'Institut Fourier
publist_id: '7686'
quality_controlled: 0
status: public
title: Manin's conjecture for a quartic del Pezzo surface with A4 singularity
type: journal_article
volume: 59
year: '2009'
...
---
_id: '227'
abstract:
- lang: eng
text: Winner of the Ferran Sunyer i Balaguer Prize 2009. First attempt to systematically
survey the range of available tools from analytic number theory that can be applied
to study the density of rational points on projective varieties. Designed to rapidly
guide the reader to the many areas of ongoing research in the domain. Provides
an extensive bibliography.
alternative_title:
- Progress in Mathematics
article_processing_charge: No
author:
- 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: Browning TD. Quantitative Arithmetic of Projective Varieties. Vol 277.
Birkhäuser Basel; 2009. doi:10.1007/978-3-0346-0129-0
apa: Browning, T. D. (2009). Quantitative Arithmetic of Projective Varieties
(Vol. 277). Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0129-0
chicago: Browning, Timothy D. Quantitative Arithmetic of Projective Varieties.
Vol. 277. Birkhäuser Basel, 2009. https://doi.org/10.1007/978-3-0346-0129-0.
ieee: T. D. Browning, Quantitative Arithmetic of Projective Varieties, vol.
277. Birkhäuser Basel, 2009.
ista: Browning TD. 2009. Quantitative Arithmetic of Projective Varieties, Birkhäuser
Basel, XIII, 160p.
mla: Browning, Timothy D. Quantitative Arithmetic of Projective Varieties.
Vol. 277, Birkhäuser Basel, 2009, doi:10.1007/978-3-0346-0129-0.
short: T.D. Browning, Quantitative Arithmetic of Projective Varieties, Birkhäuser
Basel, 2009.
date_created: 2018-12-11T11:45:19Z
date_published: 2009-01-01T00:00:00Z
date_updated: 2021-12-21T10:56:12Z
day: '01'
doi: 10.1007/978-3-0346-0129-0
extern: '1'
intvolume: ' 277'
language:
- iso: eng
month: '01'
oa_version: None
page: XIII, 160
publication_identifier:
eisbn:
- 9-783-0346-0129-0
eissn:
- 2296-505X
isbn:
- 9-783-0346-0128-3
issn:
- 0743-1643
publication_status: published
publisher: Birkhäuser Basel
publist_id: '7682'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Quantitative Arithmetic of Projective Varieties
type: book
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 277
year: '2009'
...
---
_id: '228'
abstract:
- lang: eng
text: Let X be a projective non-singular quartic hypersurface of dimension 39 or
more, which is defined over . We show that X() is non-empty provided that X()
is non-empty and X has p-adic points for every prime p.
acknowledgement: "EP/F060661/1\tEngineering and Physical Sciences Research Council"
author:
- first_name: Timothy D
full_name: Timothy Browning
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
- first_name: Roger
full_name: Heath-Brown, Roger
last_name: Heath Brown
citation:
ama: Browning TD, Heath Brown R. Rational points on quartic hypersurfaces. Journal
fur die Reine und Angewandte Mathematik. 2009;(629):37-88. doi:10.1515/CRELLE.2009.026
apa: Browning, T. D., & Heath Brown, R. (2009). Rational points on quartic hypersurfaces.
Journal Fur Die Reine Und Angewandte Mathematik. Walter de Gruyter. https://doi.org/10.1515/CRELLE.2009.026
chicago: Browning, Timothy D, and Roger Heath Brown. “Rational Points on Quartic
Hypersurfaces.” Journal Fur Die Reine Und Angewandte Mathematik. Walter
de Gruyter, 2009. https://doi.org/10.1515/CRELLE.2009.026.
ieee: T. D. Browning and R. Heath Brown, “Rational points on quartic hypersurfaces,”
Journal fur die Reine und Angewandte Mathematik, no. 629. Walter de Gruyter,
pp. 37–88, 2009.
ista: Browning TD, Heath Brown R. 2009. Rational points on quartic hypersurfaces.
Journal fur die Reine und Angewandte Mathematik. (629), 37–88.
mla: Browning, Timothy D., and Roger Heath Brown. “Rational Points on Quartic Hypersurfaces.”
Journal Fur Die Reine Und Angewandte Mathematik, no. 629, Walter de Gruyter,
2009, pp. 37–88, doi:10.1515/CRELLE.2009.026.
short: T.D. Browning, R. Heath Brown, Journal Fur Die Reine Und Angewandte Mathematik
(2009) 37–88.
date_created: 2018-12-11T11:45:19Z
date_published: 2009-04-01T00:00:00Z
date_updated: 2021-01-12T06:56:29Z
day: '01'
doi: 10.1515/CRELLE.2009.026
extern: 1
issue: '629'
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/math/0701348
month: '04'
oa: 1
page: 37 - 88
publication: Journal fur die Reine und Angewandte Mathematik
publication_status: published
publisher: Walter de Gruyter
publist_id: '7676'
quality_controlled: 0
status: public
title: Rational points on quartic hypersurfaces
type: journal_article
year: '2009'
...
---
_id: '229'
abstract:
- lang: eng
text: An upper bound of the expected order of magnitude is established for the number
of ℚ-rational points of bounded height on Châtelet surfaces defined over ℚ.
acknowledgement: "EP/E053262/1\tEngineering and Physical Sciences Research Council"
author:
- first_name: Timothy D
full_name: Timothy Browning
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
citation:
ama: Browning TD. Linear growth for Châtelet surfaces. Mathematische Annalen.
2009;346(1):41-50. doi:10.1007/s00208-009-0383-z
apa: Browning, T. D. (2009). Linear growth for Châtelet surfaces. Mathematische
Annalen. Springer Nature. https://doi.org/10.1007/s00208-009-0383-z
chicago: Browning, Timothy D. “Linear Growth for Châtelet Surfaces.” Mathematische
Annalen. Springer Nature, 2009. https://doi.org/10.1007/s00208-009-0383-z.
ieee: T. D. Browning, “Linear growth for Châtelet surfaces,” Mathematische Annalen,
vol. 346, no. 1. Springer Nature, pp. 41–50, 2009.
ista: Browning TD. 2009. Linear growth for Châtelet surfaces. Mathematische Annalen.
346(1), 41–50.
mla: Browning, Timothy D. “Linear Growth for Châtelet Surfaces.” Mathematische
Annalen, vol. 346, no. 1, Springer Nature, 2009, pp. 41–50, doi:10.1007/s00208-009-0383-z.
short: T.D. Browning, Mathematische Annalen 346 (2009) 41–50.
date_created: 2018-12-11T11:45:19Z
date_published: 2009-06-18T00:00:00Z
date_updated: 2021-01-12T06:56:33Z
day: '18'
doi: 10.1007/s00208-009-0383-z
extern: 1
intvolume: ' 346'
issue: '1'
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/0901.1963
month: '06'
oa: 1
page: 41 - 50
publication: Mathematische Annalen
publication_status: published
publisher: Springer Nature
publist_id: '7675'
quality_controlled: 0
status: public
title: Linear growth for Châtelet surfaces
type: journal_article
volume: 346
year: '2009'
...
---
_id: '230'
abstract:
- lang: eng
text: The Manin conjecture is established for a split singular cubic surface in
ℙ 3, with singularity type D 5.
acknowledgement: "EP/E053262/1\tEngineering and Physical Sciences Research Council"
author:
- first_name: Timothy D
full_name: Timothy Browning
id: 35827D50-F248-11E8-B48F-1D18A9856A87
last_name: Browning
orcid: 0000-0002-8314-0177
- first_name: Ulrich
full_name: Derenthal, Ulrich
last_name: Derenthal
citation:
ama: Browning TD, Derenthal U. Manin’s conjecture for a cubic surface with D 5
singularity. International Mathematics Research Notices. 2009;2009(14):2620-2647.
doi:10.1093/imrn/rnp029
apa: Browning, T. D., & Derenthal, U. (2009). Manin’s conjecture for a cubic
surface with D 5 singularity. International Mathematics Research Notices.
Oxford University Press. https://doi.org/10.1093/imrn/rnp029
chicago: Browning, Timothy D, and Ulrich Derenthal. “Manin’s Conjecture for a Cubic
Surface with D 5 Singularity.” International Mathematics Research Notices.
Oxford University Press, 2009. https://doi.org/10.1093/imrn/rnp029.
ieee: T. D. Browning and U. Derenthal, “Manin’s conjecture for a cubic surface with
D 5 singularity,” International Mathematics Research Notices, vol. 2009,
no. 14. Oxford University Press, pp. 2620–2647, 2009.
ista: Browning TD, Derenthal U. 2009. Manin’s conjecture for a cubic surface with
D 5 singularity. International Mathematics Research Notices. 2009(14), 2620–2647.
mla: Browning, Timothy D., and Ulrich Derenthal. “Manin’s Conjecture for a Cubic
Surface with D 5 Singularity.” International Mathematics Research Notices,
vol. 2009, no. 14, Oxford University Press, 2009, pp. 2620–47, doi:10.1093/imrn/rnp029.
short: T.D. Browning, U. Derenthal, International Mathematics Research Notices 2009
(2009) 2620–2647.
date_created: 2018-12-11T11:45:20Z
date_published: 2009-03-09T00:00:00Z
date_updated: 2021-01-12T06:56:38Z
day: '09'
doi: 10.1093/imrn/rnp029
extern: 1
intvolume: ' 2009'
issue: '14'
month: '03'
page: 2620 - 2647
publication: International Mathematics Research Notices
publication_status: published
publisher: Oxford University Press
publist_id: '7674'
quality_controlled: 0
status: public
title: Manin's conjecture for a cubic surface with D 5 singularity
type: journal_article
volume: 2009
year: '2009'
...
---
_id: '2326'
abstract:
- lang: eng
text: Research into the stability of matter has been one of the most successful
chapters in mathematical physics, and is a prime example of how modern mathematics
can be applied to problems in physics. A unique account of the subject, this book
provides a complete, self-contained description of research on the stability of
matter problem. It introduces the necessary quantum mechanics to mathematicians,
and aspects of functional analysis to physicists. The topics covered include electrodynamics
of classical and quantized fields, Lieb-Thirring and other inequalities in spectral
theory, inequalities in electrostatics, stability of large Coulomb systems, gravitational
stability of stars, basics of equilibrium statistical mechanics, and the existence
of the thermodynamic limit. The book is an up-to-date account for researchers,
and its pedagogical style makes it suitable for advanced undergraduate and graduate
courses in mathematical physics.
article_processing_charge: No
author:
- first_name: Élliott
full_name: Lieb, Élliott
last_name: Lieb
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Lieb É, Seiringer R. The Stability of Matter in Quantum Mechanics. Cambridge
University Press; 2009.
apa: Lieb, É., & Seiringer, R. (2009). The Stability of Matter in Quantum
Mechanics. Cambridge University Press.
chicago: Lieb, Élliott, and Robert Seiringer. The Stability of Matter in Quantum
Mechanics. Cambridge University Press, 2009.
ieee: É. Lieb and R. Seiringer, The Stability of Matter in Quantum Mechanics.
Cambridge University Press, 2009.
ista: Lieb É, Seiringer R. 2009. The Stability of Matter in Quantum Mechanics, Cambridge
University Press, 310p.
mla: Lieb, Élliott, and Robert Seiringer. The Stability of Matter in Quantum
Mechanics. Cambridge University Press, 2009.
short: É. Lieb, R. Seiringer, The Stability of Matter in Quantum Mechanics, Cambridge
University Press, 2009.
date_created: 2018-12-11T11:57:00Z
date_published: 2009-01-01T00:00:00Z
date_updated: 2021-12-21T15:45:31Z
day: '01'
extern: '1'
language:
- iso: eng
main_file_link:
- url: http://www.cambridge.org/9780521191180
month: '01'
oa_version: None
page: '310'
publication_identifier:
isbn:
- '978-0-521-19118-0 '
publication_status: published
publisher: Cambridge University Press
publist_id: '4601'
quality_controlled: '1'
status: public
title: The Stability of Matter in Quantum Mechanics
type: book
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2009'
...
---
_id: '2330'
alternative_title:
- Contemporary Mathematics
author:
- first_name: Christian
full_name: Hainzl, Christian
last_name: Hainzl
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: 'Hainzl C, Seiringer R. A linear criterion for solutions of non-linear equations,
with application to the BCS gap equation. In: Vol 500. American Mathematical Society;
2009:101-104. doi:10.1090/conm/500/09823'
apa: Hainzl, C., & Seiringer, R. (2009). A linear criterion for solutions of
non-linear equations, with application to the BCS gap equation (Vol. 500, pp.
101–104). Presented at the Spectral and Scattering Theory for Quantum Magnetic
Systems, American Mathematical Society. https://doi.org/10.1090/conm/500/09823
chicago: Hainzl, Christian, and Robert Seiringer. “A Linear Criterion for Solutions
of Non-Linear Equations, with Application to the BCS Gap Equation,” 500:101–4.
American Mathematical Society, 2009. https://doi.org/10.1090/conm/500/09823.
ieee: C. Hainzl and R. Seiringer, “A linear criterion for solutions of non-linear
equations, with application to the BCS gap equation,” presented at the Spectral
and Scattering Theory for Quantum Magnetic Systems, 2009, vol. 500, pp. 101–104.
ista: Hainzl C, Seiringer R. 2009. A linear criterion for solutions of non-linear
equations, with application to the BCS gap equation. Spectral and Scattering Theory
for Quantum Magnetic Systems, Contemporary Mathematics, vol. 500, 101–104.
mla: Hainzl, Christian, and Robert Seiringer. A Linear Criterion for Solutions
of Non-Linear Equations, with Application to the BCS Gap Equation. Vol. 500,
American Mathematical Society, 2009, pp. 101–04, doi:10.1090/conm/500/09823.
short: C. Hainzl, R. Seiringer, in:, American Mathematical Society, 2009, pp. 101–104.
conference:
name: Spectral and Scattering Theory for Quantum Magnetic Systems
date_created: 2018-12-11T11:57:02Z
date_published: 2009-01-01T00:00:00Z
date_updated: 2021-01-12T06:56:50Z
day: '01'
doi: 10.1090/conm/500/09823
extern: 1
intvolume: ' 500'
month: '01'
page: 101 - 104
publication_status: published
publisher: American Mathematical Society
publist_id: '4596'
quality_controlled: 0
status: public
title: A linear criterion for solutions of non-linear equations, with application
to the BCS gap equation
type: conference
volume: 500
year: '2009'
...
---
_id: '2384'
abstract:
- lang: eng
text: We prove the Lee-Huang-Yang formula for the ground state energy of the 3D
Bose gas with repulsive interactions described by the exponential function, in
a simultaneous limit of weak coupling and high density. In particular, we show
that the Bogoliubov approximation is exact in an appropriate parameter regime,
as far as the ground state energy is concerned.
author:
- first_name: Alessandro
full_name: Giuliani, Alessandro
last_name: Giuliani
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Giuliani A, Seiringer R. The ground state energy of the weakly interacting
Bose gas at high density. Journal of Statistical Physics. 2009;135(5-6):915-934.
doi:10.1007/s10955-009-9718-0
apa: Giuliani, A., & Seiringer, R. (2009). The ground state energy of the weakly
interacting Bose gas at high density. Journal of Statistical Physics. Springer.
https://doi.org/10.1007/s10955-009-9718-0
chicago: Giuliani, Alessandro, and Robert Seiringer. “The Ground State Energy of
the Weakly Interacting Bose Gas at High Density.” Journal of Statistical Physics.
Springer, 2009. https://doi.org/10.1007/s10955-009-9718-0.
ieee: A. Giuliani and R. Seiringer, “The ground state energy of the weakly interacting
Bose gas at high density,” Journal of Statistical Physics, vol. 135, no.
5–6. Springer, pp. 915–934, 2009.
ista: Giuliani A, Seiringer R. 2009. The ground state energy of the weakly interacting
Bose gas at high density. Journal of Statistical Physics. 135(5–6), 915–934.
mla: Giuliani, Alessandro, and Robert Seiringer. “The Ground State Energy of the
Weakly Interacting Bose Gas at High Density.” Journal of Statistical Physics,
vol. 135, no. 5–6, Springer, 2009, pp. 915–34, doi:10.1007/s10955-009-9718-0.
short: A. Giuliani, R. Seiringer, Journal of Statistical Physics 135 (2009) 915–934.
date_created: 2018-12-11T11:57:21Z
date_published: 2009-06-01T00:00:00Z
date_updated: 2021-01-12T06:57:09Z
day: '01'
doi: 10.1007/s10955-009-9718-0
extern: 1
intvolume: ' 135'
issue: 5-6
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/0811.1166
month: '06'
oa: 1
page: 915 - 934
publication: Journal of Statistical Physics
publication_status: published
publisher: Springer
publist_id: '4542'
quality_controlled: 0
status: public
title: The ground state energy of the weakly interacting Bose gas at high density
type: journal_article
volume: 135
year: '2009'
...
---
_id: '2385'
abstract:
- lang: eng
text: We consider an ultracold rotating Bose gas in a harmonic trap close to the
critical angular velocity, so that the system can be considered to be confined
to the lowest Landau level. With this assumption we prove that the Gross-Pitaevskii
energy functional accurately describes the ground-state energy of the corresponding
N -body Hamiltonian with contact interaction provided the total angular momentum
L is much less than N2. While the Gross-Pitaevskii energy is always an obvious
variational upper bound to the ground-state energy, a more refined analysis is
needed to establish it as an exact lower bound. We also discuss the question of
Bose-Einstein condensation in the parameter range considered. Coherent states
together with inequalities in spaces of analytic functions are the main technical
tools.
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. Yrast line of a rapidly rotating Bose gas:
Gross-Pitaevskii regime. Physical Review A - Atomic, Molecular, and Optical
Physics. 2009;79(6). doi:10.1103/PhysRevA.79.063626'
apa: 'Lieb, É., Seiringer, R., & Yngvason, J. (2009). Yrast line of a rapidly
rotating Bose gas: Gross-Pitaevskii regime. Physical Review A - Atomic, Molecular,
and Optical Physics. American Physical Society. https://doi.org/10.1103/PhysRevA.79.063626'
chicago: 'Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Yrast Line of a
Rapidly Rotating Bose Gas: Gross-Pitaevskii Regime.” Physical Review A - Atomic,
Molecular, and Optical Physics. American Physical Society, 2009. https://doi.org/10.1103/PhysRevA.79.063626.'
ieee: 'É. Lieb, R. Seiringer, and J. Yngvason, “Yrast line of a rapidly rotating
Bose gas: Gross-Pitaevskii regime,” Physical Review A - Atomic, Molecular,
and Optical Physics, vol. 79, no. 6. American Physical Society, 2009.'
ista: 'Lieb É, Seiringer R, Yngvason J. 2009. Yrast line of a rapidly rotating Bose
gas: Gross-Pitaevskii regime. Physical Review A - Atomic, Molecular, and Optical
Physics. 79(6).'
mla: 'Lieb, Élliott, et al. “Yrast Line of a Rapidly Rotating Bose Gas: Gross-Pitaevskii
Regime.” Physical Review A - Atomic, Molecular, and Optical Physics, vol.
79, no. 6, American Physical Society, 2009, doi:10.1103/PhysRevA.79.063626.'
short: É. Lieb, R. Seiringer, J. Yngvason, Physical Review A - Atomic, Molecular,
and Optical Physics 79 (2009).
date_created: 2018-12-11T11:57:22Z
date_published: 2009-06-24T00:00:00Z
date_updated: 2021-01-12T06:57:09Z
day: '24'
doi: 10.1103/PhysRevA.79.063626
extern: 1
intvolume: ' 79'
issue: '6'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/0904.1750
month: '06'
oa: 1
publication: Physical Review A - Atomic, Molecular, and Optical Physics
publication_status: published
publisher: American Physical Society
publist_id: '4541'
quality_controlled: 0
status: public
title: 'Yrast line of a rapidly rotating Bose gas: Gross-Pitaevskii regime'
type: journal_article
volume: 79
year: '2009'
...
---
_id: '2386'
abstract:
- lang: eng
text: We prove exponential decay of the off-diagonal correlation function in the
two-dimensional homogeneous Bose gas when a2 ρ is small and the temperature T
satisfies T> 4πρ ln | ln (a2 ρ) |. Here, a is the scattering length of the
repulsive interaction potential and ρ is the density. To the leading order in
a2 ρ, this bound agrees with the expected critical temperature for superfluidity.
In the three-dimensional Bose gas, exponential decay is proved when T- Tc (0)
Tc (0) >5 a ρ1/3, where Tc (0) is the critical temperature of the ideal gas.
While this condition is not expected to be sharp, it gives a rigorous upper bound
on the critical temperature for Bose-Einstein condensation.
author:
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Daniel
full_name: Ueltschi, Daniel
last_name: Ueltschi
citation:
ama: Seiringer R, Ueltschi D. Rigorous upper bound on the critical temperature of
dilute Bose gases. Physical Review B - Condensed Matter and Materials Physics.
2009;80(1). doi:10.1103/PhysRevB.80.014502
apa: Seiringer, R., & Ueltschi, D. (2009). Rigorous upper bound on the critical
temperature of dilute Bose gases. Physical Review B - Condensed Matter and
Materials Physics. American Physical Society. https://doi.org/10.1103/PhysRevB.80.014502
chicago: Seiringer, Robert, and Daniel Ueltschi. “Rigorous Upper Bound on the Critical
Temperature of Dilute Bose Gases.” Physical Review B - Condensed Matter and
Materials Physics. American Physical Society, 2009. https://doi.org/10.1103/PhysRevB.80.014502.
ieee: R. Seiringer and D. Ueltschi, “Rigorous upper bound on the critical temperature
of dilute Bose gases,” Physical Review B - Condensed Matter and Materials Physics,
vol. 80, no. 1. American Physical Society, 2009.
ista: Seiringer R, Ueltschi D. 2009. Rigorous upper bound on the critical temperature
of dilute Bose gases. Physical Review B - Condensed Matter and Materials Physics.
80(1).
mla: Seiringer, Robert, and Daniel Ueltschi. “Rigorous Upper Bound on the Critical
Temperature of Dilute Bose Gases.” Physical Review B - Condensed Matter and
Materials Physics, vol. 80, no. 1, American Physical Society, 2009, doi:10.1103/PhysRevB.80.014502.
short: R. Seiringer, D. Ueltschi, Physical Review B - Condensed Matter and Materials
Physics 80 (2009).
date_created: 2018-12-11T11:57:22Z
date_published: 2009-06-02T00:00:00Z
date_updated: 2021-01-12T06:57:10Z
day: '02'
doi: 10.1103/PhysRevB.80.014502
extern: 1
intvolume: ' 80'
issue: '1'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/0904.0050
month: '06'
oa: 1
publication: Physical Review B - Condensed Matter and Materials Physics
publication_status: published
publisher: American Physical Society
publist_id: '4540'
quality_controlled: 0
status: public
title: Rigorous upper bound on the critical temperature of dilute Bose gases
type: journal_article
volume: 80
year: '2009'
...
---
_id: '2387'
abstract:
- lang: eng
text: We consider a system of trapped spinless bosons interacting with a repulsive
potential and subject to rotation. In the limit of rapid rotation and small scattering
length, we rigorously show that the ground state energy converges to that of a
simplified model Hamiltonian with contact interaction projected onto the Lowest
Landau Level. This effective Hamiltonian models the bosonic analogue of the Fractional
Quantum Hall Effect (FQHE). For a fixed number of particles, we also prove convergence
of states; in particular, in a certain regime we show convergence towards the
bosonic Laughlin wavefunction. This is the first rigorous justification of the
effective FQHE Hamiltonian for rapidly rotating Bose gases. We review previous
results on this effective Hamiltonian and outline open problems.
author:
- first_name: Mathieu
full_name: Lewin, Mathieu
last_name: Lewin
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Lewin M, Seiringer R. Strongly correlated phases in rapidly rotating Bose gases.
Journal of Statistical Physics. 2009;137(5):1040-1062. doi:10.1007/s10955-009-9833-y
apa: Lewin, M., & Seiringer, R. (2009). Strongly correlated phases in rapidly
rotating Bose gases. Journal of Statistical Physics. Springer. https://doi.org/10.1007/s10955-009-9833-y
chicago: Lewin, Mathieu, and Robert Seiringer. “Strongly Correlated Phases in Rapidly
Rotating Bose Gases.” Journal of Statistical Physics. Springer, 2009. https://doi.org/10.1007/s10955-009-9833-y.
ieee: M. Lewin and R. Seiringer, “Strongly correlated phases in rapidly rotating
Bose gases,” Journal of Statistical Physics, vol. 137, no. 5. Springer,
pp. 1040–1062, 2009.
ista: Lewin M, Seiringer R. 2009. Strongly correlated phases in rapidly rotating
Bose gases. Journal of Statistical Physics. 137(5), 1040–1062.
mla: Lewin, Mathieu, and Robert Seiringer. “Strongly Correlated Phases in Rapidly
Rotating Bose Gases.” Journal of Statistical Physics, vol. 137, no. 5,
Springer, 2009, pp. 1040–62, doi:10.1007/s10955-009-9833-y.
short: M. Lewin, R. Seiringer, Journal of Statistical Physics 137 (2009) 1040–1062.
date_created: 2018-12-11T11:57:22Z
date_published: 2009-01-01T00:00:00Z
date_updated: 2021-01-12T06:57:10Z
day: '01'
doi: 10.1007/s10955-009-9833-y
extern: 1
intvolume: ' 137'
issue: '5'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/0906.0741
month: '01'
oa: 1
page: 1040 - 1062
publication: Journal of Statistical Physics
publication_status: published
publisher: Springer
publist_id: '4538'
quality_controlled: 0
status: public
title: Strongly correlated phases in rapidly rotating Bose gases
type: journal_article
volume: 137
year: '2009'
...
---
_id: '2388'
abstract:
- lang: eng
text: This paper provides self-contained proof of a theorem relating probabilistic
coherence of forecasts to their non-domination by rival forecasts with respect
to any proper scoring rule. The theorem recapitulates insights achieved by other
investigators, and clarifies the connection of coherence and proper scoring rules
to Bregman divergence.
author:
- first_name: Joel
full_name: Predd, Joel B
last_name: Predd
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
- first_name: Élliott
full_name: Lieb, Élliott H
last_name: Lieb
- first_name: Daniel
full_name: Osherson, Daniel N
last_name: Osherson
- first_name: Harold
full_name: Poor, Harold V
last_name: Poor
- first_name: Sanjeev
full_name: Kulkarni, Sanjeev R
last_name: Kulkarni
citation:
ama: Predd J, Seiringer R, Lieb É, Osherson D, Poor H, Kulkarni S. Probabilistic
coherence and proper scoring rules. IEEE Transactions on Information Theory.
2009;55(10):4786-4792. doi:10.1109/TIT.2009.2027573
apa: Predd, J., Seiringer, R., Lieb, É., Osherson, D., Poor, H., & Kulkarni,
S. (2009). Probabilistic coherence and proper scoring rules. IEEE Transactions
on Information Theory. IEEE. https://doi.org/10.1109/TIT.2009.2027573
chicago: Predd, Joel, Robert Seiringer, Élliott Lieb, Daniel Osherson, Harold Poor,
and Sanjeev Kulkarni. “Probabilistic Coherence and Proper Scoring Rules.” IEEE
Transactions on Information Theory. IEEE, 2009. https://doi.org/10.1109/TIT.2009.2027573.
ieee: J. Predd, R. Seiringer, É. Lieb, D. Osherson, H. Poor, and S. Kulkarni, “Probabilistic
coherence and proper scoring rules,” IEEE Transactions on Information Theory,
vol. 55, no. 10. IEEE, pp. 4786–4792, 2009.
ista: Predd J, Seiringer R, Lieb É, Osherson D, Poor H, Kulkarni S. 2009. Probabilistic
coherence and proper scoring rules. IEEE Transactions on Information Theory. 55(10),
4786–4792.
mla: Predd, Joel, et al. “Probabilistic Coherence and Proper Scoring Rules.” IEEE
Transactions on Information Theory, vol. 55, no. 10, IEEE, 2009, pp. 4786–92,
doi:10.1109/TIT.2009.2027573.
short: J. Predd, R. Seiringer, É. Lieb, D. Osherson, H. Poor, S. Kulkarni, IEEE
Transactions on Information Theory 55 (2009) 4786–4792.
date_created: 2018-12-11T11:57:23Z
date_published: 2009-10-01T00:00:00Z
date_updated: 2021-01-12T06:57:11Z
day: '01'
doi: 10.1109/TIT.2009.2027573
extern: 1
intvolume: ' 55'
issue: '10'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/0710.3183
month: '10'
oa: 1
page: 4786 - 4792
publication: IEEE Transactions on Information Theory
publication_status: published
publisher: IEEE
publist_id: '4539'
quality_controlled: 0
status: public
title: Probabilistic coherence and proper scoring rules
type: journal_article
volume: 55
year: '2009'
...
---
_id: '2433'
abstract:
- lang: eng
text: 'Let EMBEDk→d be the following algorithmic problem: Given a finite simplicial
complex K of dimension at most k, does there exist a (piecewise linear) embedding
of K into ℝd? Known results easily imply polynomiality of EMBEDk→2 (k = 1, 2;
the case k = 1, d = 2 is graph planarity) and of EMBEDk→2k for all k ≥ 3 (even
if k is not considered fixed). We show that the celebrated result of Novikov on
the algorithmic unsolvability of recognizing the 5-sphere implies that EMBED d→d
and EMBED(d-1)→d are undecidable for each d ≥ 5. Our main result is NP-hardness
of EMBED2→4 and, more generally, of EMBEDk→d for all k, d with d ≥ 4 and d ≥ k
≥ (2d - 2)/3.'
author:
- first_name: Jiří
full_name: Matoušek, Jiří
last_name: Matoušek
- first_name: Martin
full_name: Martin Tancer
id: 38AC689C-F248-11E8-B48F-1D18A9856A87
last_name: Tancer
orcid: 0000-0002-1191-6714
- first_name: Uli
full_name: Uli Wagner
id: 36690CA2-F248-11E8-B48F-1D18A9856A87
last_name: Wagner
orcid: 0000-0002-1494-0568
citation:
ama: 'Matoušek J, Tancer M, Wagner U. Hardness of embedding simplicial complexes
in ℝd. In: SIAM; 2009:855-864.'
apa: 'Matoušek, J., Tancer, M., & Wagner, U. (2009). Hardness of embedding simplicial
complexes in ℝd (pp. 855–864). Presented at the SODA: Symposium on Discrete Algorithms,
SIAM.'
chicago: Matoušek, Jiří, Martin Tancer, and Uli Wagner. “Hardness of Embedding Simplicial
Complexes in ℝd,” 855–64. SIAM, 2009.
ieee: 'J. Matoušek, M. Tancer, and U. Wagner, “Hardness of embedding simplicial
complexes in ℝd,” presented at the SODA: Symposium on Discrete Algorithms, 2009,
pp. 855–864.'
ista: 'Matoušek J, Tancer M, Wagner U. 2009. Hardness of embedding simplicial complexes
in ℝd. SODA: Symposium on Discrete Algorithms, 855–864.'
mla: Matoušek, Jiří, et al. Hardness of Embedding Simplicial Complexes in ℝd.
SIAM, 2009, pp. 855–64.
short: J. Matoušek, M. Tancer, U. Wagner, in:, SIAM, 2009, pp. 855–864.
conference:
name: 'SODA: Symposium on Discrete Algorithms'
date_created: 2018-12-11T11:57:38Z
date_published: 2009-01-01T00:00:00Z
date_updated: 2021-01-12T06:57:27Z
day: '01'
extern: 1
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/0807.0336
month: '01'
oa: 1
page: 855 - 864
publication_status: published
publisher: SIAM
publist_id: '4476'
quality_controlled: 0
status: public
title: Hardness of embedding simplicial complexes in ℝd
type: conference
year: '2009'
...
---
_id: '2434'
abstract:
- lang: eng
text: For a planar point set we consider the graph whose vertices are the crossing-free
straight-line spanning trees of the point set, and two such spanning trees are
adjacent if their union is crossing-free. An upper bound on the diameter of this
graph implies an upper bound on the diameter of the flip graph of pseudo-triangulations
of the underlying point set. We prove a lower bound of Ω(logn/loglogn) for the
diameter of the transformation graph of spanning trees on a set of n points in
the plane. This nearly matches the known upper bound of O(logn). If we measure
the diameter in terms of the number of convex layers k of the point set, our lower
bound construction is tight, i.e., the diameter is in Ω(logk) which matches the
known upper bound of O(logk). So far only constant lower bounds were known.
author:
- first_name: Kevin
full_name: Buchin, Kevin
last_name: Buchin
- first_name: Andreas
full_name: Razen, Andreas
last_name: Razen
- first_name: Takeaki
full_name: Uno, Takeaki
last_name: Uno
- first_name: Uli
full_name: Uli Wagner
id: 36690CA2-F248-11E8-B48F-1D18A9856A87
last_name: Wagner
orcid: 0000-0002-1494-0568
citation:
ama: 'Buchin K, Razen A, Uno T, Wagner U. Transforming spanning trees: A lower bound.
Computational Geometry: Theory and Applications. 2009;42(8):724-730. doi:10.1016/j.comgeo.2008.03.005'
apa: 'Buchin, K., Razen, A., Uno, T., & Wagner, U. (2009). Transforming spanning
trees: A lower bound. Computational Geometry: Theory and Applications.
Elsevier. https://doi.org/10.1016/j.comgeo.2008.03.005'
chicago: 'Buchin, Kevin, Andreas Razen, Takeaki Uno, and Uli Wagner. “Transforming
Spanning Trees: A Lower Bound.” Computational Geometry: Theory and Applications.
Elsevier, 2009. https://doi.org/10.1016/j.comgeo.2008.03.005.'
ieee: 'K. Buchin, A. Razen, T. Uno, and U. Wagner, “Transforming spanning trees:
A lower bound,” Computational Geometry: Theory and Applications, vol. 42,
no. 8. Elsevier, pp. 724–730, 2009.'
ista: 'Buchin K, Razen A, Uno T, Wagner U. 2009. Transforming spanning trees: A
lower bound. Computational Geometry: Theory and Applications. 42(8), 724–730.'
mla: 'Buchin, Kevin, et al. “Transforming Spanning Trees: A Lower Bound.” Computational
Geometry: Theory and Applications, vol. 42, no. 8, Elsevier, 2009, pp. 724–30,
doi:10.1016/j.comgeo.2008.03.005.'
short: 'K. Buchin, A. Razen, T. Uno, U. Wagner, Computational Geometry: Theory and
Applications 42 (2009) 724–730.'
date_created: 2018-12-11T11:57:38Z
date_published: 2009-10-01T00:00:00Z
date_updated: 2021-01-12T06:57:28Z
day: '01'
doi: 10.1016/j.comgeo.2008.03.005
extern: 1
intvolume: ' 42'
issue: '8'
month: '10'
page: 724 - 730
publication: 'Computational Geometry: Theory and Applications'
publication_status: published
publisher: Elsevier
publist_id: '4475'
quality_controlled: 0
status: public
title: 'Transforming spanning trees: A lower bound'
type: journal_article
volume: 42
year: '2009'
...
---
_id: '7080'
abstract:
- lang: eng
text: We show evidence that a structural martensitic transition is related to significant
changes in the electronic structure, as revealed in thermodynamic measurements
made in high magnetic fields. The effect of the magnetic field is considered unusual
as many influential investigations of martensitic transitions have emphasized
that the structural transitions are primarily lattice dynamical and are driven
by the entropy due to the phonons. We provide a theoretical framework, which can
be used to describe the effect of the magnetic field on the lattice dynamics in
which the field dependence originates from the dielectric constant.
article_processing_charge: No
article_type: original
author:
- first_name: X.-D.
full_name: Yang, X.-D.
last_name: Yang
- first_name: P.S.
full_name: Riseborough, P.S.
last_name: Riseborough
- first_name: Kimberly A
full_name: Modic, Kimberly A
id: 13C26AC0-EB69-11E9-87C6-5F3BE6697425
last_name: Modic
orcid: 0000-0001-9760-3147
- first_name: R.A.
full_name: Fisher, R.A.
last_name: Fisher
- first_name: C.P.
full_name: Opeil, C.P.
last_name: Opeil
- first_name: T.R.
full_name: Finlayson, T.R.
last_name: Finlayson
- first_name: J.C.
full_name: Cooley, J.C.
last_name: Cooley
- first_name: J.L.
full_name: Smith, J.L.
last_name: Smith
- first_name: P.A.
full_name: Goddard, P.A.
last_name: Goddard
- first_name: A.V.
full_name: Silhanek, A.V.
last_name: Silhanek
- first_name: J.C.
full_name: Lashley, J.C.
last_name: Lashley
citation:
ama: Yang X-D, Riseborough PS, Modic KA, et al. Influence of magnetic fields on
structural martensitic transitions. Philosophical Magazine. 2009;89(22-24):2083-2091.
doi:10.1080/14786430902865518
apa: Yang, X.-D., Riseborough, P. S., Modic, K. A., Fisher, R. A., Opeil, C. P.,
Finlayson, T. R., … Lashley, J. C. (2009). Influence of magnetic fields on structural
martensitic transitions. Philosophical Magazine. Taylor & Francis.
https://doi.org/10.1080/14786430902865518
chicago: Yang, X.-D., P.S. Riseborough, Kimberly A Modic, R.A. Fisher, C.P. Opeil,
T.R. Finlayson, J.C. Cooley, et al. “Influence of Magnetic Fields on Structural
Martensitic Transitions.” Philosophical Magazine. Taylor & Francis,
2009. https://doi.org/10.1080/14786430902865518.
ieee: X.-D. Yang et al., “Influence of magnetic fields on structural martensitic
transitions,” Philosophical Magazine, vol. 89, no. 22–24. Taylor &
Francis, pp. 2083–2091, 2009.
ista: Yang X-D, Riseborough PS, Modic KA, Fisher RA, Opeil CP, Finlayson TR, Cooley
JC, Smith JL, Goddard PA, Silhanek AV, Lashley JC. 2009. Influence of magnetic
fields on structural martensitic transitions. Philosophical Magazine. 89(22–24),
2083–2091.
mla: Yang, X. D., et al. “Influence of Magnetic Fields on Structural Martensitic
Transitions.” Philosophical Magazine, vol. 89, no. 22–24, Taylor &
Francis, 2009, pp. 2083–91, doi:10.1080/14786430902865518.
short: X.-D. Yang, P.S. Riseborough, K.A. Modic, R.A. Fisher, C.P. Opeil, T.R. Finlayson,
J.C. Cooley, J.L. Smith, P.A. Goddard, A.V. Silhanek, J.C. Lashley, Philosophical
Magazine 89 (2009) 2083–2091.
date_created: 2019-11-19T13:48:32Z
date_published: 2009-08-21T00:00:00Z
date_updated: 2023-02-21T16:26:53Z
day: '21'
doi: 10.1080/14786430902865518
extern: '1'
intvolume: ' 89'
issue: 22-24
language:
- iso: eng
month: '08'
oa_version: None
page: 2083-2091
publication: Philosophical Magazine
publication_identifier:
eissn:
- 1478-6443
issn:
- 1478-6435
publication_status: published
publisher: Taylor & Francis
quality_controlled: '1'
related_material:
record:
- id: '11752'
relation: earlier_version
status: public
status: public
title: Influence of magnetic fields on structural martensitic transitions
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 89
year: '2009'
...