---
_id: '871'
abstract:
- lang: eng
  text: 'BACKGROUND: Gene duplications have a major role in the evolution of new biological
    functions. Theoretical studies often assume that a duplication per se is selectively
    neutral and that, following a duplication, one of the gene copies is freed from
    purifying (stabilizing) selection, which creates the potential for evolution of
    a new function. RESULTS: In search of systematic evidence of accelerated evolution
    after duplication, we used data from 26 bacterial, six archaeal, and seven eukaryotic
    genomes to compare the mode and strength of selection acting on recently duplicated
    genes (paralogs) and on similarly diverged, unduplicated orthologous genes in
    different species. We find that the ratio of nonsynonymous to synonymous substitutions
    (Kn/Ks) in most paralogous pairs is &lt;&lt;1 and that paralogs typically evolve
    at similar rates, without significant asymmetry, indicating that both paralogs
    produced by a duplication are subject to purifying selection. This selection is,
    however, substantially weaker than the purifying selection affecting unduplicated
    orthologs that have diverged to the same extent as the analyzed paralogs. Most
    of the recently duplicated genes appear to be involved in various forms of environmental
    response; in particular, many of them encode membrane and secreted proteins. CONCLUSIONS:
    The results of this analysis indicate that recently duplicated paralogs evolve
    faster than orthologs with the same level of divergence and similar functions,
    but apparently do not experience a phase of neutral evolution. We hypothesize
    that gene duplications that persist in an evolving lineage are beneficial from
    the time of their origin, due primarily to a protein dosage effect in response
    to variable environmental conditions; duplications are likely to give rise to
    new functions at a later phase of their evolution once a higher level of divergence
    is reached.'
acknowledgement: We are grateful to A.S. Kondrashov for numerous helpful suggestions,
  to I. King Jordan, M.A. Roytberg, J.L. Spouge and D.A. Kondrashov for useful discussions
  and to A.S. Kondrashov, I. King Jordan and D.J. Lipman for critical reading of the
  manuscript.
article_processing_charge: No
article_type: original
author:
- first_name: Fyodor
  full_name: Kondrashov, Fyodor
  id: 44FDEF62-F248-11E8-B48F-1D18A9856A87
  last_name: Kondrashov
  orcid: 0000-0001-8243-4694
- first_name: Igor
  full_name: Rogozin, Igor
  last_name: Rogozin
- first_name: Yuri
  full_name: Wolf, Yuri
  last_name: Wolf
- first_name: Eugene
  full_name: Koonin, Eugene
  last_name: Koonin
citation:
  ama: Kondrashov F, Rogozin I, Wolf Y, Koonin E. Selection in the evolution of gene
    duplications . <i>Genome Biology</i>. 2002;3(2). doi:<a href="https://doi.org/10.1186/gb-2002-3-2-research0008">10.1186/gb-2002-3-2-research0008</a>
  apa: Kondrashov, F., Rogozin, I., Wolf, Y., &#38; Koonin, E. (2002). Selection in
    the evolution of gene duplications . <i>Genome Biology</i>. BioMed Central. <a
    href="https://doi.org/10.1186/gb-2002-3-2-research0008">https://doi.org/10.1186/gb-2002-3-2-research0008</a>
  chicago: Kondrashov, Fyodor, Igor Rogozin, Yuri Wolf, and Eugene Koonin. “Selection
    in the Evolution of Gene Duplications .” <i>Genome Biology</i>. BioMed Central,
    2002. <a href="https://doi.org/10.1186/gb-2002-3-2-research0008">https://doi.org/10.1186/gb-2002-3-2-research0008</a>.
  ieee: F. Kondrashov, I. Rogozin, Y. Wolf, and E. Koonin, “Selection in the evolution
    of gene duplications ,” <i>Genome Biology</i>, vol. 3, no. 2. BioMed Central,
    2002.
  ista: Kondrashov F, Rogozin I, Wolf Y, Koonin E. 2002. Selection in the evolution
    of gene duplications . Genome Biology. 3(2).
  mla: Kondrashov, Fyodor, et al. “Selection in the Evolution of Gene Duplications
    .” <i>Genome Biology</i>, vol. 3, no. 2, BioMed Central, 2002, doi:<a href="https://doi.org/10.1186/gb-2002-3-2-research0008">10.1186/gb-2002-3-2-research0008</a>.
  short: F. Kondrashov, I. Rogozin, Y. Wolf, E. Koonin, Genome Biology 3 (2002).
date_created: 2018-12-11T11:48:57Z
date_published: 2002-01-01T00:00:00Z
date_updated: 2023-07-26T11:48:27Z
day: '01'
doi: 10.1186/gb-2002-3-2-research0008
extern: '1'
external_id:
  pmid:
  - '11864370'
intvolume: '         3'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC65685/
month: '01'
oa: 1
oa_version: Published Version
pmid: 1
publication: Genome Biology
publication_identifier:
  issn:
  - 1465-6906
publication_status: published
publisher: BioMed Central
publist_id: '6781'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Selection in the evolution of gene duplications '
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 3
year: '2002'
...
---
_id: '885'
abstract:
- lang: eng
  text: We study fitness landscape in the space of protein sequences by relating sets
    of human pathogenic missense mutations in 32 proteins to amino acid substitutions
    that occurred in the course of evolution of these proteins. On average, ≈10% of
    deviations of a nonhuman protein from its human ortholog are compensated pathogenic
    deviations (CPDs), i.e., are caused by an amino acid substitution that, at this
    site, would be pathogenic to humans. Normal functioning of a CPD-containing protein
    must be caused by other, compensatory deviations of the nonhuman species from
    humans. Together, a CPD and the corresponding compensatory deviation form a Dobzhansky-Muller
    incompatibility that can be visualized as the corner on a fitness ridge. Thus,
    proteins evolve along fitness ridges which contain only ≈10 steps between sucessive
    corners. The fraction of CPDs among all deviations of a protein from its human
    ortholog does not increase with the evolutionary distance between the proteins,
    indicating that subtitutions that carry evolving proteins around these corners
    occur in rapid succession, driven by positive selection. Data on fitness of interspecies
    hybrids suggest that the compensatory change that makes a CPD fit usually occurs
    within the same protein. Data on protein structures and on cooccurrence of amino
    acids at different sites of multiple orthologous proteins often make it possible
    to provisionally identify the substitution that compensates a partiCUlar CPD.
article_processing_charge: No
article_type: original
author:
- first_name: Alexey
  full_name: Kondrashov, Alexey
  last_name: Kondrashov
- first_name: Shamil
  full_name: Sunyaev, Shamil
  last_name: Sunyaev
- first_name: Fyodor
  full_name: Kondrashov, Fyodor
  id: 44FDEF62-F248-11E8-B48F-1D18A9856A87
  last_name: Kondrashov
  orcid: 0000-0001-8243-4694
citation:
  ama: Kondrashov A, Sunyaev S, Kondrashov F. Dobzhansky-Muller incompatibilities
    in protein evolution. <i>PNAS</i>. 2002;99(23):14878-14883. doi:<a href="https://doi.org/10.1073/pnas.232565499">10.1073/pnas.232565499</a>
  apa: Kondrashov, A., Sunyaev, S., &#38; Kondrashov, F. (2002). Dobzhansky-Muller
    incompatibilities in protein evolution. <i>PNAS</i>. National Academy of Sciences.
    <a href="https://doi.org/10.1073/pnas.232565499">https://doi.org/10.1073/pnas.232565499</a>
  chicago: Kondrashov, Alexey, Shamil Sunyaev, and Fyodor Kondrashov. “Dobzhansky-Muller
    Incompatibilities in Protein Evolution.” <i>PNAS</i>. National Academy of Sciences,
    2002. <a href="https://doi.org/10.1073/pnas.232565499">https://doi.org/10.1073/pnas.232565499</a>.
  ieee: A. Kondrashov, S. Sunyaev, and F. Kondrashov, “Dobzhansky-Muller incompatibilities
    in protein evolution,” <i>PNAS</i>, vol. 99, no. 23. National Academy of Sciences,
    pp. 14878–14883, 2002.
  ista: Kondrashov A, Sunyaev S, Kondrashov F. 2002. Dobzhansky-Muller incompatibilities
    in protein evolution. PNAS. 99(23), 14878–14883.
  mla: Kondrashov, Alexey, et al. “Dobzhansky-Muller Incompatibilities in Protein
    Evolution.” <i>PNAS</i>, vol. 99, no. 23, National Academy of Sciences, 2002,
    pp. 14878–83, doi:<a href="https://doi.org/10.1073/pnas.232565499">10.1073/pnas.232565499</a>.
  short: A. Kondrashov, S. Sunyaev, F. Kondrashov, PNAS 99 (2002) 14878–14883.
date_created: 2018-12-11T11:49:01Z
date_published: 2002-11-12T00:00:00Z
date_updated: 2023-07-26T09:48:37Z
day: '12'
doi: 10.1073/pnas.232565499
extern: '1'
external_id:
  pmid:
  - '12403824'
intvolume: '        99'
issue: '23'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC137512/
month: '11'
oa: 1
oa_version: Published Version
page: 14878 - 14883
pmid: 1
publication: PNAS
publication_identifier:
  issn:
  - 0027-8424
publication_status: published
publisher: National Academy of Sciences
publist_id: '6763'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Dobzhansky-Muller incompatibilities in protein evolution
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 99
year: '2002'
...
---
_id: '2340'
abstract:
- lang: eng
  text: "Recent experimental breakthroughs in the treatment of dilute Bose gases have
    renewed interest in their quantum mechanical description, respectively in approximations
    to it. The ground state properties of dilute Bose gases confined in external potentials
    and interacting via repulsive short range forces are usually described by means
    of the Gross-Pitaevskii energy functional. In joint work with Elliott H. Lieb
    and Jakob Yngvason its status as an approximation for the quantum mechanical many-body
    ground state problem has recently been rigorously clarified. We present a summary
    of this work, for both the two-and three-dimensional case.\r\n"
alternative_title:
- 'Operator Theory: Advances and Applications'
article_processing_charge: No
arxiv: 1
author:
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: 'Seiringer R. Bosons in a trap: Asymptotic exactness of the Gross-Pitaevskii
    ground state energy formula. In: Demuth M, Schultze B, eds. Vol 126. Birkhäuser;
    2001:307-314. doi:<a href="https://doi.org/10.1007/978-3-0348-8231-6">10.1007/978-3-0348-8231-6</a>'
  apa: 'Seiringer, R. (2001). Bosons in a trap: Asymptotic exactness of the Gross-Pitaevskii
    ground state energy formula. In M. Demuth &#38; B. Schultze (Eds.) (Vol. 126,
    pp. 307–314). Presented at the PDE: Partial Differential Equations and Spectral
    Theory, Clausthal, Germany: Birkhäuser. <a href="https://doi.org/10.1007/978-3-0348-8231-6">https://doi.org/10.1007/978-3-0348-8231-6</a>'
  chicago: 'Seiringer, Robert. “Bosons in a Trap: Asymptotic Exactness of the Gross-Pitaevskii
    Ground State Energy Formula.” edited by Michael Demuth and Bert Schultze, 126:307–14.
    Birkhäuser, 2001. <a href="https://doi.org/10.1007/978-3-0348-8231-6">https://doi.org/10.1007/978-3-0348-8231-6</a>.'
  ieee: 'R. Seiringer, “Bosons in a trap: Asymptotic exactness of the Gross-Pitaevskii
    ground state energy formula,” presented at the PDE: Partial Differential Equations
    and Spectral Theory, Clausthal, Germany, 2001, vol. 126, pp. 307–314.'
  ista: 'Seiringer R. 2001. Bosons in a trap: Asymptotic exactness of the Gross-Pitaevskii
    ground state energy formula. PDE: Partial Differential Equations and Spectral
    Theory, Operator Theory: Advances and Applications, vol. 126, 307–314.'
  mla: 'Seiringer, Robert. <i>Bosons in a Trap: Asymptotic Exactness of the Gross-Pitaevskii
    Ground State Energy Formula</i>. Edited by Michael Demuth and Bert Schultze, vol.
    126, Birkhäuser, 2001, pp. 307–14, doi:<a href="https://doi.org/10.1007/978-3-0348-8231-6">10.1007/978-3-0348-8231-6</a>.'
  short: R. Seiringer, in:, M. Demuth, B. Schultze (Eds.), Birkhäuser, 2001, pp. 307–314.
conference:
  location: Clausthal, Germany
  name: 'PDE: Partial Differential Equations and Spectral Theory'
date_created: 2018-12-11T11:57:05Z
date_published: 2001-01-01T00:00:00Z
date_updated: 2023-05-30T13:20:05Z
day: '01'
doi: 10.1007/978-3-0348-8231-6
editor:
- first_name: Michael
  full_name: Demuth, Michael
  last_name: Demuth
- first_name: Bert
  full_name: Schultze, Bert
  last_name: Schultze
extern: '1'
external_id:
  arxiv:
  - math-ph/0010006
intvolume: '       126'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/math-ph/0010006
month: '01'
oa: 1
oa_version: None
page: 307 - 314
publication_identifier:
  isbn:
  - '9783034894838'
publication_status: published
publisher: Birkhäuser
publist_id: '4586'
quality_controlled: '1'
status: public
title: 'Bosons in a trap: Asymptotic exactness of the Gross-Pitaevskii ground state
  energy formula'
type: conference
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 126
year: '2001'
...
---
_id: '2341'
abstract:
- lang: eng
  text: We study the ground state properties of an atom with nuclear charge Z and
    N bosonic &quot;electrons&quot; in the presence of a homogeneous magnetic field
    B. We investigate the mean field limit N→∞ with N / Z fixed, and identify three
    different asymptotic regions, according to B≪Z2,B∼Z2,andB≫Z2 . In Region 1 standard
    Hartree theory is applicable. Region 3 is described by a one-dimensional functional,
    which is identical to the so-called Hyper-Strong functional introduced by Lieb,
    Solovej and Yngvason for atoms with fermionic electrons in the region B≫Z3 ; i.e.,
    for very strong magnetic fields the ground state properties of atoms are independent
    of statistics. For Region 2 we introduce a general magnetic Hartree functional,
    which is studied in detail. It is shown that in the special case of an atom it
    can be restricted to the subspace of zero angular momentum parallel to the magnetic
    field, which simplifies the theory considerably. The functional reproduces the
    energy and the one-particle reduced density matrix for the full N-particle ground
    state to leading order in N, and it implies the description of the other regions
    as limiting cases.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Bernhard
  full_name: Baumgartner, Bernhard
  last_name: Baumgartner
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Baumgartner B, Seiringer R. Atoms with bosonic &#38;quot;electrons&#38;quot;
    in strong magnetic fields. <i>Annales Henri Poincare</i>. 2001;2(1):41-76. doi:<a
    href="https://doi.org/10.1007/PL00001032">10.1007/PL00001032</a>
  apa: Baumgartner, B., &#38; Seiringer, R. (2001). Atoms with bosonic &#38;quot;electrons&#38;quot;
    in strong magnetic fields. <i>Annales Henri Poincare</i>. Birkhäuser. <a href="https://doi.org/10.1007/PL00001032">https://doi.org/10.1007/PL00001032</a>
  chicago: Baumgartner, Bernhard, and Robert Seiringer. “Atoms with Bosonic &#38;quot;Electrons&#38;quot;
    in Strong Magnetic Fields.” <i>Annales Henri Poincare</i>. Birkhäuser, 2001. <a
    href="https://doi.org/10.1007/PL00001032">https://doi.org/10.1007/PL00001032</a>.
  ieee: B. Baumgartner and R. Seiringer, “Atoms with bosonic &#38;quot;electrons&#38;quot;
    in strong magnetic fields,” <i>Annales Henri Poincare</i>, vol. 2, no. 1. Birkhäuser,
    pp. 41–76, 2001.
  ista: Baumgartner B, Seiringer R. 2001. Atoms with bosonic &#38;quot;electrons&#38;quot;
    in strong magnetic fields. Annales Henri Poincare. 2(1), 41–76.
  mla: Baumgartner, Bernhard, and Robert Seiringer. “Atoms with Bosonic &#38;quot;Electrons&#38;quot;
    in Strong Magnetic Fields.” <i>Annales Henri Poincare</i>, vol. 2, no. 1, Birkhäuser,
    2001, pp. 41–76, doi:<a href="https://doi.org/10.1007/PL00001032">10.1007/PL00001032</a>.
  short: B. Baumgartner, R. Seiringer, Annales Henri Poincare 2 (2001) 41–76.
date_created: 2018-12-11T11:57:06Z
date_published: 2001-02-01T00:00:00Z
date_updated: 2023-05-30T12:49:08Z
day: '01'
doi: 10.1007/PL00001032
extern: '1'
external_id:
  arxiv:
  - math-ph/0007007
intvolume: '         2'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/math-ph/0007007
month: '02'
oa: 1
oa_version: None
page: 41 - 76
publication: Annales Henri Poincare
publication_identifier:
  issn:
  - 1424-0637
publication_status: published
publisher: Birkhäuser
publist_id: '4585'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Atoms with bosonic &quot;electrons&quot; in strong magnetic fields
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 2
year: '2001'
...
---
_id: '2345'
abstract:
- lang: eng
  text: We give upper bounds for the number of spin-1/2 particles that can be bound
    to a nucleus of charge Z in the presence of a magnetic field B, including the
    spin-field coupling. We use Lieb's strategy, which is known to yield Nc &lt; 2Z
    + 1 for magnetic fields that go to zero at infinity, ignoring the spin-field interaction.
    For particles with fermionic statistics in a homogeneous magnetic field our upper
    bound has an additional term of the order of Z × min {(B/Z3)2/5, 1 + | 1n(B/Z3)|2}.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: 'Seiringer R. On the maximal ionization of atoms in strong magnetic fields.
    <i>Journal of Physics A: Mathematical and General</i>. 2001;34(9):1943-1948. doi:<a
    href="https://doi.org/10.1088/0305-4470/34/9/311">10.1088/0305-4470/34/9/311</a>'
  apa: 'Seiringer, R. (2001). On the maximal ionization of atoms in strong magnetic
    fields. <i>Journal of Physics A: Mathematical and General</i>. IOP Publishing
    Ltd. <a href="https://doi.org/10.1088/0305-4470/34/9/311">https://doi.org/10.1088/0305-4470/34/9/311</a>'
  chicago: 'Seiringer, Robert. “On the Maximal Ionization of Atoms in Strong Magnetic
    Fields.” <i>Journal of Physics A: Mathematical and General</i>. IOP Publishing
    Ltd., 2001. <a href="https://doi.org/10.1088/0305-4470/34/9/311">https://doi.org/10.1088/0305-4470/34/9/311</a>.'
  ieee: 'R. Seiringer, “On the maximal ionization of atoms in strong magnetic fields,”
    <i>Journal of Physics A: Mathematical and General</i>, vol. 34, no. 9. IOP Publishing
    Ltd., pp. 1943–1948, 2001.'
  ista: 'Seiringer R. 2001. On the maximal ionization of atoms in strong magnetic
    fields. Journal of Physics A: Mathematical and General. 34(9), 1943–1948.'
  mla: 'Seiringer, Robert. “On the Maximal Ionization of Atoms in Strong Magnetic
    Fields.” <i>Journal of Physics A: Mathematical and General</i>, vol. 34, no. 9,
    IOP Publishing Ltd., 2001, pp. 1943–48, doi:<a href="https://doi.org/10.1088/0305-4470/34/9/311">10.1088/0305-4470/34/9/311</a>.'
  short: 'R. Seiringer, Journal of Physics A: Mathematical and General 34 (2001) 1943–1948.'
date_created: 2018-12-11T11:57:07Z
date_published: 2001-03-09T00:00:00Z
date_updated: 2023-05-30T12:37:44Z
day: '09'
doi: 10.1088/0305-4470/34/9/311
extern: '1'
external_id:
  arxiv:
  - math-ph/0006002
intvolume: '        34'
issue: '9'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/math-ph/0006002
month: '03'
oa: 1
oa_version: None
page: 1943 - 1948
publication: 'Journal of Physics A: Mathematical and General'
publication_identifier:
  issn:
  - 0305-4470
publication_status: published
publisher: IOP Publishing Ltd.
publist_id: '4580'
quality_controlled: '1'
scopus_import: '1'
status: public
title: On the maximal ionization of atoms in strong magnetic fields
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 34
year: '2001'
...
---
_id: '2346'
abstract:
- lang: eng
  text: By means of a generalization of the Fefferman - de la Llave decomposition
    we derive a general lower bound on the interaction energy of one-dimensional quantum
    systems. We apply this result to a specific class of lowest Landau band wave functions.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Christian
  full_name: Hainzl, Christian
  last_name: Hainzl
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Hainzl C, Seiringer R. Bounds on one-dimensional exchange energies with application
    to lowest Landau band quantum mechanics. <i>Letters in Mathematical Physics</i>.
    2001;55(2):133-142. doi:<a href="https://doi.org/10.1023/A:1010951905548">10.1023/A:1010951905548</a>
  apa: Hainzl, C., &#38; Seiringer, R. (2001). Bounds on one-dimensional exchange
    energies with application to lowest Landau band quantum mechanics. <i>Letters
    in Mathematical Physics</i>. Springer. <a href="https://doi.org/10.1023/A:1010951905548">https://doi.org/10.1023/A:1010951905548</a>
  chicago: Hainzl, Christian, and Robert Seiringer. “Bounds on One-Dimensional Exchange
    Energies with Application to Lowest Landau Band Quantum Mechanics.” <i>Letters
    in Mathematical Physics</i>. Springer, 2001. <a href="https://doi.org/10.1023/A:1010951905548">https://doi.org/10.1023/A:1010951905548</a>.
  ieee: C. Hainzl and R. Seiringer, “Bounds on one-dimensional exchange energies with
    application to lowest Landau band quantum mechanics,” <i>Letters in Mathematical
    Physics</i>, vol. 55, no. 2. Springer, pp. 133–142, 2001.
  ista: Hainzl C, Seiringer R. 2001. Bounds on one-dimensional exchange energies with
    application to lowest Landau band quantum mechanics. Letters in Mathematical Physics.
    55(2), 133–142.
  mla: Hainzl, Christian, and Robert Seiringer. “Bounds on One-Dimensional Exchange
    Energies with Application to Lowest Landau Band Quantum Mechanics.” <i>Letters
    in Mathematical Physics</i>, vol. 55, no. 2, Springer, 2001, pp. 133–42, doi:<a
    href="https://doi.org/10.1023/A:1010951905548">10.1023/A:1010951905548</a>.
  short: C. Hainzl, R. Seiringer, Letters in Mathematical Physics 55 (2001) 133–142.
date_created: 2018-12-11T11:57:07Z
date_published: 2001-02-01T00:00:00Z
date_updated: 2023-05-30T12:44:05Z
day: '01'
doi: 10.1023/A:1010951905548
extern: '1'
external_id:
  arxiv:
  - cond-mat/0102118
intvolume: '        55'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/cond-mat/0102118
month: '02'
oa: 1
oa_version: Published Version
page: 133 - 142
publication: Letters in Mathematical Physics
publication_identifier:
  issn:
  - 0377-9017
publication_status: published
publisher: Springer
publist_id: '4581'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Bounds on one-dimensional exchange energies with application to lowest Landau
  band quantum mechanics
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 55
year: '2001'
...
---
_id: '2347'
abstract:
- lang: eng
  text: We consider the ground state properties of an inhomogeneous two-dimensional
    Bose gas with a repulsive, short range pair interaction and an external confining
    potential. In the limit when the particle number N is large but ρ̅a 2 is small,
    where ρ̅ is the average particle density and a the scattering length, the ground
    state energy and density are rigorously shown to be given to leading order by
    a Gross–Pitaevskii (GP) energy functional with a coupling constant g~1/|1n(ρ̅a
    2)|. In contrast to the 3D case the coupling constant depends on N through the
    mean density. The GP energy per particle depends only on Ng. In 2D this parameter
    is typically so large that the gradient term in the GP energy functional is negligible
    and the simpler description by a Thomas–Fermi type functional is adequate.
article_processing_charge: No
article_type: original
arxiv: 1
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
- first_name: Jakob
  full_name: Yngvason, Jakob
  last_name: Yngvason
citation:
  ama: Lieb É, Seiringer R, Yngvason J. A rigorous derivation of the Gross-Pitaevskii
    energy functional for a two-dimensional Bose gas. <i>Communications in Mathematical
    Physics</i>. 2001;224(1):17-31. doi:<a href="https://doi.org/10.1007/s002200100533">10.1007/s002200100533</a>
  apa: Lieb, É., Seiringer, R., &#38; Yngvason, J. (2001). A rigorous derivation of
    the Gross-Pitaevskii energy functional for a two-dimensional Bose gas. <i>Communications
    in Mathematical Physics</i>. Springer. <a href="https://doi.org/10.1007/s002200100533">https://doi.org/10.1007/s002200100533</a>
  chicago: Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “A Rigorous Derivation
    of the Gross-Pitaevskii Energy Functional for a Two-Dimensional Bose Gas.” <i>Communications
    in Mathematical Physics</i>. Springer, 2001. <a href="https://doi.org/10.1007/s002200100533">https://doi.org/10.1007/s002200100533</a>.
  ieee: É. Lieb, R. Seiringer, and J. Yngvason, “A rigorous derivation of the Gross-Pitaevskii
    energy functional for a two-dimensional Bose gas,” <i>Communications in Mathematical
    Physics</i>, vol. 224, no. 1. Springer, pp. 17–31, 2001.
  ista: Lieb É, Seiringer R, Yngvason J. 2001. A rigorous derivation of the Gross-Pitaevskii
    energy functional for a two-dimensional Bose gas. Communications in Mathematical
    Physics. 224(1), 17–31.
  mla: Lieb, Élliott, et al. “A Rigorous Derivation of the Gross-Pitaevskii Energy
    Functional for a Two-Dimensional Bose Gas.” <i>Communications in Mathematical
    Physics</i>, vol. 224, no. 1, Springer, 2001, pp. 17–31, doi:<a href="https://doi.org/10.1007/s002200100533">10.1007/s002200100533</a>.
  short: É. Lieb, R. Seiringer, J. Yngvason, Communications in Mathematical Physics
    224 (2001) 17–31.
date_created: 2018-12-11T11:57:08Z
date_published: 2001-11-01T00:00:00Z
date_updated: 2023-05-30T12:28:46Z
day: '01'
doi: 10.1007/s002200100533
extern: '1'
external_id:
  arxiv:
  - cond-mat/0005026
intvolume: '       224'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/cond-mat/0005026
month: '11'
oa: 1
oa_version: Published Version
page: 17 - 31
publication: Communications in Mathematical Physics
publication_identifier:
  issn:
  - 0010-3616
publication_status: published
publisher: Springer
publist_id: '4579'
quality_controlled: '1'
scopus_import: '1'
status: public
title: A rigorous derivation of the Gross-Pitaevskii energy functional for a two-dimensional
  Bose gas
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 224
year: '2001'
...
---
_id: '2348'
abstract:
- lang: eng
  text: This paper concerns the asymptotic ground state properties of heavy atoms
    in strong, homogeneous magnetic fields. In the limit when the nuclear charge Z
    tends to ∞ with the magnetic field B satisfying B ≫ Z4/3 all the electrons are
    confined to the lowest Landau band. We consider here an energy functional, whose
    variable is a sequence of one-dimensional density matrices corresponding to different
    angular momentum functions in the lowest Landau band. We study this functional
    in detail and derive various interesting properties, which are compared with the
    density matrix (DM) theory introduced by Lieb, Solovej and Yngvason. In contrast
    to the DM theory the variable perpendicular to the field is replaced by the discrete
    angular momentum quantum numbers. Hence we call the new functional a discrete
    density matrix (DDM) functional. We relate this DDM theory to the lowest Landau
    band quantum mechanics and show that it reproduces correctly the ground state
    energy apart from errors due to the indirect part of the Coulomb interaction energy.
acknowledgement: The authors would like to thank Bernhard Baumgartner and Jakob Yngvason
  for proofreading and valuable comments.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Christian
  full_name: Hainzl, Christian
  last_name: Hainzl
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Hainzl C, Seiringer R. A discrete density matrix theory for atoms in strong
    magnetic fields. <i>Communications in Mathematical Physics</i>. 2001;217(1):229-248.
    doi:<a href="https://doi.org/10.1007/s002200100373">10.1007/s002200100373</a>
  apa: Hainzl, C., &#38; Seiringer, R. (2001). A discrete density matrix theory for
    atoms in strong magnetic fields. <i>Communications in Mathematical Physics</i>.
    Springer. <a href="https://doi.org/10.1007/s002200100373">https://doi.org/10.1007/s002200100373</a>
  chicago: Hainzl, Christian, and Robert Seiringer. “A Discrete Density Matrix Theory
    for Atoms in Strong Magnetic Fields.” <i>Communications in Mathematical Physics</i>.
    Springer, 2001. <a href="https://doi.org/10.1007/s002200100373">https://doi.org/10.1007/s002200100373</a>.
  ieee: C. Hainzl and R. Seiringer, “A discrete density matrix theory for atoms in
    strong magnetic fields,” <i>Communications in Mathematical Physics</i>, vol. 217,
    no. 1. Springer, pp. 229–248, 2001.
  ista: Hainzl C, Seiringer R. 2001. A discrete density matrix theory for atoms in
    strong magnetic fields. Communications in Mathematical Physics. 217(1), 229–248.
  mla: Hainzl, Christian, and Robert Seiringer. “A Discrete Density Matrix Theory
    for Atoms in Strong Magnetic Fields.” <i>Communications in Mathematical Physics</i>,
    vol. 217, no. 1, Springer, 2001, pp. 229–48, doi:<a href="https://doi.org/10.1007/s002200100373">10.1007/s002200100373</a>.
  short: C. Hainzl, R. Seiringer, Communications in Mathematical Physics 217 (2001)
    229–248.
date_created: 2018-12-11T11:57:08Z
date_published: 2001-02-01T00:00:00Z
date_updated: 2023-05-30T06:54:54Z
day: '01'
doi: 10.1007/s002200100373
extern: '1'
external_id:
  arxiv:
  - math-ph/0010005
intvolume: '       217'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/math-ph/0010005
month: '02'
oa: 1
oa_version: Preprint
page: 229 - 248
publication: Communications in Mathematical Physics
publication_identifier:
  issn:
  - 0010-3616
publication_status: published
publisher: Springer
publist_id: '4578'
quality_controlled: '1'
scopus_import: '1'
status: public
title: A discrete density matrix theory for atoms in strong magnetic fields
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 217
year: '2001'
...
---
_id: '2610'
abstract:
- lang: eng
  text: To study the role of mGlu7 receptors (mGluR7), we used homologous recombination
    to generate mice lacking this metabotropic receptor subtype (mGluR7 -/-). After
    the serendipitous discovery of a sensory stimulus-evoked epileptic phenotype,
    we tested two convulsant drugs, pentylenetetrazole (PTZ) and bicuculline. In animals
    aged 12 weeks and older, subthreshold doses of these drugs induced seizures in
    mGluR7 -/-, but not in mGluR7 +/-, mice. PTZ-induced seizures were inhibited by
    three standard anticonvulsant drugs, but not by the group III selective mGluR
    agonist (R,S)-4-phosphonophenylglycine (PPG). Consistent with the lack of signs
    of epileptic activity in the absence of specific stimuli, mGluR7 -/- mice showed
    no major changes in synaptic properties in two slice preparations. However, slightly
    increased excitability was evident in hippocampal slices. In addition, there was
    slower recovery from frequency facilitation in cortical slices, suggesting a role
    for mGluR7 as a frequency-dependent regulator in presynaptic terminals. Our findings
    suggest that mGluR7 receptors have a unique role in regulating neuronal excitability
    and that these receptors may be a novel target for the development of anticonvulsant
    drugs.
acknowledgement: This work was supported in part by the Biotechnology and Biological
  Sciences Research Council and Medical Research Council (UK). We thank Doris Ruegg
  for sequencing, Gemma Texido and Klaus Rajewsky for pTV-0 DNA, J.-F. Pin for mGluR8
  cDNA, K. von Figura for E14 ES cells, Pedro Grandes for histological examination
  of brain sections, Christoph Wiessner for help with plots and statistics, Valerie
  Schuler for help with Western blots, and the team of the Novartis special strain
  breeding facility for their support.
article_processing_charge: No
article_type: original
author:
- first_name: Gilles
  full_name: Sansig, Gilles
  last_name: Sansig
- first_name: Trevor
  full_name: Bushell, Trevor
  last_name: Bushell
- first_name: Vernon
  full_name: Clarke, Vernon
  last_name: Clarke
- first_name: Andrei
  full_name: Rozov, Andrei
  last_name: Rozov
- first_name: Nail
  full_name: Burnashev, Nail
  last_name: Burnashev
- first_name: Chantal
  full_name: Portet, Chantal
  last_name: Portet
- first_name: Fabrizio
  full_name: Gasparini, Fabrizio
  last_name: Gasparini
- first_name: Markus
  full_name: Schmutz, Markus
  last_name: Schmutz
- first_name: Klaus
  full_name: Klebs, Klaus
  last_name: Klebs
- first_name: Ryuichi
  full_name: Shigemoto, Ryuichi
  id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
  last_name: Shigemoto
  orcid: 0000-0001-8761-9444
- first_name: Peter
  full_name: Flor, Peter
  last_name: Flor
- first_name: Rainer
  full_name: Kühn, Rainer
  last_name: Kühn
- first_name: Thomas
  full_name: Knoepfel, Thomas
  last_name: Knoepfel
- first_name: Markus
  full_name: Schroeder, Markus
  last_name: Schroeder
- first_name: David
  full_name: Hampson, David
  last_name: Hampson
- first_name: Valerie
  full_name: Collett, Valerie
  last_name: Collett
- first_name: Congxiao
  full_name: Zhang, Congxiao
  last_name: Zhang
- first_name: Robert
  full_name: Duvoisin, Robert
  last_name: Duvoisin
- first_name: Graham
  full_name: Collingridge, Graham
  last_name: Collingridge
- first_name: Herman
  full_name: Van Der Putten, Herman
  last_name: Van Der Putten
citation:
  ama: Sansig G, Bushell T, Clarke V, et al. Increased seizure susceptibility in mice
    lacking metabotropic glutamate receptor 7. <i>Journal of Neuroscience</i>. 2001;21(22):8734-8745.
    doi:<a href="https://doi.org/10.1523/JNEUROSCI.21-22-08734.2001">10.1523/JNEUROSCI.21-22-08734.2001</a>
  apa: Sansig, G., Bushell, T., Clarke, V., Rozov, A., Burnashev, N., Portet, C.,
    … Van Der Putten, H. (2001). Increased seizure susceptibility in mice lacking
    metabotropic glutamate receptor 7. <i>Journal of Neuroscience</i>. Society for
    Neuroscience. <a href="https://doi.org/10.1523/JNEUROSCI.21-22-08734.2001">https://doi.org/10.1523/JNEUROSCI.21-22-08734.2001</a>
  chicago: Sansig, Gilles, Trevor Bushell, Vernon Clarke, Andrei Rozov, Nail Burnashev,
    Chantal Portet, Fabrizio Gasparini, et al. “Increased Seizure Susceptibility in
    Mice Lacking Metabotropic Glutamate Receptor 7.” <i>Journal of Neuroscience</i>.
    Society for Neuroscience, 2001. <a href="https://doi.org/10.1523/JNEUROSCI.21-22-08734.2001">https://doi.org/10.1523/JNEUROSCI.21-22-08734.2001</a>.
  ieee: G. Sansig <i>et al.</i>, “Increased seizure susceptibility in mice lacking
    metabotropic glutamate receptor 7,” <i>Journal of Neuroscience</i>, vol. 21, no.
    22. Society for Neuroscience, pp. 8734–8745, 2001.
  ista: Sansig G, Bushell T, Clarke V, Rozov A, Burnashev N, Portet C, Gasparini F,
    Schmutz M, Klebs K, Shigemoto R, Flor P, Kühn R, Knoepfel T, Schroeder M, Hampson
    D, Collett V, Zhang C, Duvoisin R, Collingridge G, Van Der Putten H. 2001. Increased
    seizure susceptibility in mice lacking metabotropic glutamate receptor 7. Journal
    of Neuroscience. 21(22), 8734–8745.
  mla: Sansig, Gilles, et al. “Increased Seizure Susceptibility in Mice Lacking Metabotropic
    Glutamate Receptor 7.” <i>Journal of Neuroscience</i>, vol. 21, no. 22, Society
    for Neuroscience, 2001, pp. 8734–45, doi:<a href="https://doi.org/10.1523/JNEUROSCI.21-22-08734.2001">10.1523/JNEUROSCI.21-22-08734.2001</a>.
  short: G. Sansig, T. Bushell, V. Clarke, A. Rozov, N. Burnashev, C. Portet, F. Gasparini,
    M. Schmutz, K. Klebs, R. Shigemoto, P. Flor, R. Kühn, T. Knoepfel, M. Schroeder,
    D. Hampson, V. Collett, C. Zhang, R. Duvoisin, G. Collingridge, H. Van Der Putten,
    Journal of Neuroscience 21 (2001) 8734–8745.
date_created: 2018-12-11T11:58:39Z
date_published: 2001-11-15T00:00:00Z
date_updated: 2023-05-24T08:47:53Z
day: '15'
doi: 10.1523/JNEUROSCI.21-22-08734.2001
extern: '1'
external_id:
  pmid:
  - '11698585'
intvolume: '        21'
issue: '22'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6762269/
month: '11'
oa: 1
oa_version: Published Version
page: 8734 - 8745
pmid: 1
publication: Journal of Neuroscience
publication_identifier:
  issn:
  - 0270-6474
publication_status: published
publisher: Society for Neuroscience
publist_id: '4288'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Increased seizure susceptibility in mice lacking metabotropic glutamate receptor
  7
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 21
year: '2001'
...
---
_id: '2734'
abstract:
- lang: eng
  text: In this paper we describe an intrinsically geometric way of producing magnetic
    fields on S3 and R3 for which the corresponding Dirac operators have a non-trivial
    kernel. In many cases we are able to compute the dimension of the kernel. In particular
    we can give examples where the kernel has any given dimension. This generalizes
    the examples of Loss and Yau [1].
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: László
  full_name: Erdös, László
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
- first_name: Jan
  full_name: Solovej, Jan
  last_name: Solovej
citation:
  ama: Erdös L, Solovej J. The kernel of Dirac operators on S3 and R3. <i>Reviews
    in Mathematical Physics</i>. 2001;13(10):1247-1280. doi:<a href="https://doi.org/10.1142/S0129055X01000983">10.1142/S0129055X01000983</a>
  apa: Erdös, L., &#38; Solovej, J. (2001). The kernel of Dirac operators on S3 and
    R3. <i>Reviews in Mathematical Physics</i>. World Scientific Publishing. <a href="https://doi.org/10.1142/S0129055X01000983">https://doi.org/10.1142/S0129055X01000983</a>
  chicago: Erdös, László, and Jan Solovej. “The Kernel of Dirac Operators on S3 and
    R3.” <i>Reviews in Mathematical Physics</i>. World Scientific Publishing, 2001.
    <a href="https://doi.org/10.1142/S0129055X01000983">https://doi.org/10.1142/S0129055X01000983</a>.
  ieee: L. Erdös and J. Solovej, “The kernel of Dirac operators on S3 and R3,” <i>Reviews
    in Mathematical Physics</i>, vol. 13, no. 10. World Scientific Publishing, pp.
    1247–1280, 2001.
  ista: Erdös L, Solovej J. 2001. The kernel of Dirac operators on S3 and R3. Reviews
    in Mathematical Physics. 13(10), 1247–1280.
  mla: Erdös, László, and Jan Solovej. “The Kernel of Dirac Operators on S3 and R3.”
    <i>Reviews in Mathematical Physics</i>, vol. 13, no. 10, World Scientific Publishing,
    2001, pp. 1247–80, doi:<a href="https://doi.org/10.1142/S0129055X01000983">10.1142/S0129055X01000983</a>.
  short: L. Erdös, J. Solovej, Reviews in Mathematical Physics 13 (2001) 1247–1280.
date_created: 2018-12-11T11:59:19Z
date_published: 2001-10-01T00:00:00Z
date_updated: 2023-05-16T12:24:25Z
day: '01'
doi: 10.1142/S0129055X01000983
extern: '1'
external_id:
  arxiv:
  - math-ph/0001036
intvolume: '        13'
issue: '10'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/math-ph/0001036
month: '10'
oa: 1
oa_version: Published Version
page: 1247 - 1280
publication: Reviews in Mathematical Physics
publication_identifier:
  issn:
  - 0129-055X
publication_status: published
publisher: World Scientific Publishing
publist_id: '4158'
quality_controlled: '1'
scopus_import: '1'
status: public
title: The kernel of Dirac operators on S3 and R3
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 13
year: '2001'
...
---
_id: '2735'
abstract:
- lang: eng
  text: We establish the exact low-energy asymptotics of the integrated density of
    states (Lifschitz tail) in a homogeneous magnetic field and Poissonian impurities
    with a repulsive single-site potential of Gaussian decay. It has been known that
    the Gaussian potential tail discriminates between the so-called “classical” and
    “quantum” regimes, and precise asymptotics are known in these cases. For the borderline
    case, the coexistence of the classical and quantum regimes was conjectured. Here
    we settle this last remaining open case to complete the full picture of the magnetic
    Lifschitz tails.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: László
  full_name: Erdös, László
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
citation:
  ama: 'Erdös L. Lifschitz tail in a magnetic field: Coexistence of classical and
    quantum behavior in the borderline case. <i>Probability Theory and Related Fields</i>.
    2001;121(2):219-236. doi:<a href="https://doi.org/10.1007/PL00008803">10.1007/PL00008803</a>'
  apa: 'Erdös, L. (2001). Lifschitz tail in a magnetic field: Coexistence of classical
    and quantum behavior in the borderline case. <i>Probability Theory and Related
    Fields</i>. Springer. <a href="https://doi.org/10.1007/PL00008803">https://doi.org/10.1007/PL00008803</a>'
  chicago: 'Erdös, László. “Lifschitz Tail in a Magnetic Field: Coexistence of Classical
    and Quantum Behavior in the Borderline Case.” <i>Probability Theory and Related
    Fields</i>. Springer, 2001. <a href="https://doi.org/10.1007/PL00008803">https://doi.org/10.1007/PL00008803</a>.'
  ieee: 'L. Erdös, “Lifschitz tail in a magnetic field: Coexistence of classical and
    quantum behavior in the borderline case,” <i>Probability Theory and Related Fields</i>,
    vol. 121, no. 2. Springer, pp. 219–236, 2001.'
  ista: 'Erdös L. 2001. Lifschitz tail in a magnetic field: Coexistence of classical
    and quantum behavior in the borderline case. Probability Theory and Related Fields.
    121(2), 219–236.'
  mla: 'Erdös, László. “Lifschitz Tail in a Magnetic Field: Coexistence of Classical
    and Quantum Behavior in the Borderline Case.” <i>Probability Theory and Related
    Fields</i>, vol. 121, no. 2, Springer, 2001, pp. 219–36, doi:<a href="https://doi.org/10.1007/PL00008803">10.1007/PL00008803</a>.'
  short: L. Erdös, Probability Theory and Related Fields 121 (2001) 219–236.
date_created: 2018-12-11T11:59:19Z
date_published: 2001-10-01T00:00:00Z
date_updated: 2023-05-16T12:20:42Z
day: '01'
doi: 10.1007/PL00008803
extern: '1'
external_id:
  arxiv:
  - math-ph/0003023
intvolume: '       121'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/math-ph/0003023
month: '10'
oa: 1
oa_version: Published Version
page: 219 - 236
publication: Probability Theory and Related Fields
publication_identifier:
  issn:
  - 0044-3719
publication_status: published
publisher: Springer
publist_id: '4157'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Lifschitz tail in a magnetic field: Coexistence of classical and quantum behavior
  in the borderline case'
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 121
year: '2001'
...
---
_id: '2736'
abstract:
- lang: eng
  text: We consider the time evolution of N bosonic particles interacting via a mean
    field Coulomb potential. Suppose the initial state is a product wavefunction.
    We show that at any finite time the correlation functions factorize in the limit
    N → ∞. Furthermore, the limiting one particle density matrix satisfies the nonlinear
    Hartree equation. The key ingredients are the uniqueness of the BBGKY hierarchy
    for the correlation functions and a new apriori estimate for the many-body Schrödinger
    equations.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: László
  full_name: Erdös, László
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
- first_name: Horng
  full_name: Yau, Horng
  last_name: Yau
citation:
  ama: Erdös L, Yau H. Derivation of the nonlinear Schrödinger equation from a many
    body Coulomb system. <i>Advances in Theoretical and Mathematical Physics</i>.
    2001;5(6):1169-1205. doi:<a href="https://doi.org/10.48550/arXiv.math-ph/0111042">10.48550/arXiv.math-ph/0111042</a>
  apa: Erdös, L., &#38; Yau, H. (2001). Derivation of the nonlinear Schrödinger equation
    from a many body Coulomb system. <i>Advances in Theoretical and Mathematical Physics</i>.
    International Press. <a href="https://doi.org/10.48550/arXiv.math-ph/0111042">https://doi.org/10.48550/arXiv.math-ph/0111042</a>
  chicago: Erdös, László, and Horng Yau. “Derivation of the Nonlinear Schrödinger
    Equation from a Many Body Coulomb System.” <i>Advances in Theoretical and Mathematical
    Physics</i>. International Press, 2001. <a href="https://doi.org/10.48550/arXiv.math-ph/0111042">https://doi.org/10.48550/arXiv.math-ph/0111042</a>.
  ieee: L. Erdös and H. Yau, “Derivation of the nonlinear Schrödinger equation from
    a many body Coulomb system,” <i>Advances in Theoretical and Mathematical Physics</i>,
    vol. 5, no. 6. International Press, pp. 1169–1205, 2001.
  ista: Erdös L, Yau H. 2001. Derivation of the nonlinear Schrödinger equation from
    a many body Coulomb system. Advances in Theoretical and Mathematical Physics.
    5(6), 1169–1205.
  mla: Erdös, László, and Horng Yau. “Derivation of the Nonlinear Schrödinger Equation
    from a Many Body Coulomb System.” <i>Advances in Theoretical and Mathematical
    Physics</i>, vol. 5, no. 6, International Press, 2001, pp. 1169–205, doi:<a href="https://doi.org/10.48550/arXiv.math-ph/0111042">10.48550/arXiv.math-ph/0111042</a>.
  short: L. Erdös, H. Yau, Advances in Theoretical and Mathematical Physics 5 (2001)
    1169–1205.
date_created: 2018-12-11T11:59:20Z
date_published: 2001-11-01T00:00:00Z
date_updated: 2023-05-16T12:12:41Z
day: '01'
doi: 10.48550/arXiv.math-ph/0111042
extern: '1'
external_id:
  arxiv:
  - math-ph/0111042
intvolume: '         5'
issue: '6'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/math-ph/0111042
month: '11'
oa: 1
oa_version: Published Version
page: 1169 - 1205
publication: Advances in Theoretical and Mathematical Physics
publication_identifier:
  issn:
  - 1095-0761
publication_status: published
publisher: International Press
publist_id: '4156'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Derivation of the nonlinear Schrödinger equation from a many body Coulomb system
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 5
year: '2001'
...
---
_id: '2981'
abstract:
- lang: eng
  text: Plants contain a novel unique subfamily of Rho GTPases, vital components of
    cellular signalling networks. Here we report a general role for some members of
    this family in polarized plant growth processes. We show that Arabidopsis AtRop4
    and AtRop6 encode functional GTPases with similar intrinsic GTP hydrolysis rates.
    We localized AtRop proteins in root meristem cells to the cross-wall and cell
    plate membranes. Polar localization of AtRops in trichoblasts specifies the growth
    sites for emerging root hairs. These sites were visible before budding and elongation
    of the Arabidopsis root hair when AtRops accumulated at their tips. Expression
    of constitutively active AtRop4 and AtRop6 mutant proteins in root hairs of transgenic
    Arabidopsis plants abolished polarized growth and delocalized the tip-focused
    Ca2+ gradient. Polar localization of AtRops was inhibited by brefeldin A, but
    not by other drugs such as latrunculin B, cytochalasin D or caffeine. Our results
    demonstrate a general function of AtRop GTPases in tip growth and in polar diffuse
    growth.
acknowledgement: We thank Drs Frantisek Baluška, Matthias Godde, Peter Huijser, Lars
  Vahlkamp and Dieter Volkmann for help, criticism and constructive reading of the
  manuscript. We are grateful to Dr N.-H.Chua for providing us with pTA7002. The work
  was funded by the DFG, the European Communities Biotechnology Programme (Bio4-CT98
  0239) and the INCO Copernicus Programme (IC15-CT96-0920). C.S.V.R. is the recipient
  of an Alexander von Humboldt fellowship and J.F. of a DAAD fellowship.
article_processing_charge: No
article_type: original
author:
- first_name: Arthur
  full_name: Molendijk, Arthur
  last_name: Molendijk
- first_name: Friedrich
  full_name: Bischoff, Friedrich
  last_name: Bischoff
- first_name: Chadalavada
  full_name: Rajendrakumar, Chadalavada
  last_name: Rajendrakumar
- first_name: Jirí
  full_name: Friml, Jirí
  id: 4159519E-F248-11E8-B48F-1D18A9856A87
  last_name: Friml
  orcid: 0000-0002-8302-7596
- first_name: Markus
  full_name: Braun, Markus
  last_name: Braun
- first_name: Simon
  full_name: Gilroy, Simon
  last_name: Gilroy
- first_name: Klaus
  full_name: Palme, Klaus
  last_name: Palme
citation:
  ama: Molendijk A, Bischoff F, Rajendrakumar C, et al. Arabidopsis thaliana Rop GTPases
    are localized to tips of root hairs and control polar growth. <i>EMBO Journal</i>.
    2001;20(11):2779-2788. doi:<a href="https://doi.org/10.1093/emboj/20.11.2779">10.1093/emboj/20.11.2779</a>
  apa: Molendijk, A., Bischoff, F., Rajendrakumar, C., Friml, J., Braun, M., Gilroy,
    S., &#38; Palme, K. (2001). Arabidopsis thaliana Rop GTPases are localized to
    tips of root hairs and control polar growth. <i>EMBO Journal</i>. Wiley-Blackwell.
    <a href="https://doi.org/10.1093/emboj/20.11.2779">https://doi.org/10.1093/emboj/20.11.2779</a>
  chicago: Molendijk, Arthur, Friedrich Bischoff, Chadalavada Rajendrakumar, Jiří
    Friml, Markus Braun, Simon Gilroy, and Klaus Palme. “Arabidopsis Thaliana Rop
    GTPases Are Localized to Tips of Root Hairs and Control Polar Growth.” <i>EMBO
    Journal</i>. Wiley-Blackwell, 2001. <a href="https://doi.org/10.1093/emboj/20.11.2779">https://doi.org/10.1093/emboj/20.11.2779</a>.
  ieee: A. Molendijk <i>et al.</i>, “Arabidopsis thaliana Rop GTPases are localized
    to tips of root hairs and control polar growth,” <i>EMBO Journal</i>, vol. 20,
    no. 11. Wiley-Blackwell, pp. 2779–2788, 2001.
  ista: Molendijk A, Bischoff F, Rajendrakumar C, Friml J, Braun M, Gilroy S, Palme
    K. 2001. Arabidopsis thaliana Rop GTPases are localized to tips of root hairs
    and control polar growth. EMBO Journal. 20(11), 2779–2788.
  mla: Molendijk, Arthur, et al. “Arabidopsis Thaliana Rop GTPases Are Localized to
    Tips of Root Hairs and Control Polar Growth.” <i>EMBO Journal</i>, vol. 20, no.
    11, Wiley-Blackwell, 2001, pp. 2779–88, doi:<a href="https://doi.org/10.1093/emboj/20.11.2779">10.1093/emboj/20.11.2779</a>.
  short: A. Molendijk, F. Bischoff, C. Rajendrakumar, J. Friml, M. Braun, S. Gilroy,
    K. Palme, EMBO Journal 20 (2001) 2779–2788.
date_created: 2018-12-11T12:00:40Z
date_published: 2001-06-01T00:00:00Z
date_updated: 2023-05-16T12:07:45Z
day: '01'
doi: 10.1093/emboj/20.11.2779
extern: '1'
external_id:
  pmid:
  - '11387211'
intvolume: '        20'
issue: '11'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://www.ncbi.nlm.nih.gov/pmc/articles/PMC125484/
month: '06'
oa: 1
oa_version: Published Version
page: 2779 - 2788
pmid: 1
publication: EMBO Journal
publication_identifier:
  issn:
  - 0261-4189
publication_status: published
publisher: Wiley-Blackwell
publist_id: '3721'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Arabidopsis thaliana Rop GTPases are localized to tips of root hairs and control
  polar growth
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 20
year: '2001'
...
---
_id: '2982'
abstract:
- lang: eng
  text: Polar auxin transport is crucial for the regulation of auxin action and required
    for some light-regulated responses during plant development. We have found that
    two mutants of Arabidopsis - doc1, which displays altered expression of light-regulated
    genes, and tir3, known for its reduced auxin transport - have similar defects
    and define mutations in a single gene that we have renamed BIG. BIG is very similar
    to the Drosophila gene Calossin/Pushover, a member of a gene family also present
    in Caenorhabditis elegans and human genomes. The protein encoded by BIG is extraordinary
    in size, 560 kD, and contains several putative Zn-finger domains. Expression-profiling
    experiments indicate that altered expression of multiple light-regulated genes
    in doc1 mutants can be suppressed by elevated levels of auxin caused by overexpression
    of an auxin biosynthetic gene, suggesting that normal auxin distribution is required
    to maintain low-level expression of these genes in the dark. Double mutants of
    tir3 with the auxin mutants pin1, pid, and axr1 display severe defects in auxin-dependent
    growth of the inflorescence. Chemical inhibitors of auxin transport change the
    intracellular localization of the auxin efflux carrier PIN1 in doc1/tir3 mutants,
    supporting the idea that BIG is required for normal auxin efflux.
acknowledgement: "We thank Kim Hanson and Melissa McCarthy for technical support,
  and Adan Colon-Carmona, Jianming Li, and Karin Schumacher for their help in generating
  and identifying the doc1-3 T-DNA line. Seeds of ap3-1 and a cosmid library were
  supplied by the ABRC stock center. Jennifer Nemhauser made useful comments concerning
  this manuscript. This work was supported by grants from the Department of Energy
  (DE-FG03-89ER13993) and the National Science Foundation (MCB96-31390) to J.C., by
  grants from the Department of Energy (DE-FG02-98ER20313) and the National Institutes
  of Health (GM43644) to M.E., by a grant from DAAD to J.F., by a grant from DFG to
  K.P., and by a Marsden grant of New Zealand to J.P. and K.S. J.C. is an Associate
  Investigator of the Howard Hughes Medical Institute (HHMI), and Y.Z. is a HHMI fellow
  of the Life Sciences Research Foundation.\r\n\r\nThe publication costs of this article
  were defrayed in part by payment of page charges. This article must therefore be
  hereby marked “advertisement” in accordance with 18 USC section 1734 solely to indicate
  this fact."
article_processing_charge: No
article_type: original
author:
- first_name: Pedro
  full_name: Gil, Pedro
  last_name: Gil
- first_name: Elizabeth
  full_name: Dewey, Elizabeth
  last_name: Dewey
- first_name: Jirí
  full_name: Friml, Jirí
  id: 4159519E-F248-11E8-B48F-1D18A9856A87
  last_name: Friml
  orcid: 0000-0002-8302-7596
- first_name: Yunde
  full_name: Zhao, Yunde
  last_name: Zhao
- first_name: Kimberley
  full_name: Snowden, Kimberley
  last_name: Snowden
- first_name: Jo
  full_name: Putterill, Jo
  last_name: Putterill
- first_name: Klaus
  full_name: Palme, Klaus
  last_name: Palme
- first_name: Mark
  full_name: Estelle, Mark
  last_name: Estelle
- first_name: Joanne
  full_name: Chory, Joanne
  last_name: Chory
citation:
  ama: 'Gil P, Dewey E, Friml J, et al. BIG: A calossin-like protein required for
    polar auxin transport in Arabidopsis. <i>Genes and Development</i>. 2001;15(15):1985-1997.
    doi:<a href="https://doi.org/10.1101/gad.905201">10.1101/gad.905201</a>'
  apa: 'Gil, P., Dewey, E., Friml, J., Zhao, Y., Snowden, K., Putterill, J., … Chory,
    J. (2001). BIG: A calossin-like protein required for polar auxin transport in
    Arabidopsis. <i>Genes and Development</i>. Cold Spring Harbor Laboratory Press.
    <a href="https://doi.org/10.1101/gad.905201">https://doi.org/10.1101/gad.905201</a>'
  chicago: 'Gil, Pedro, Elizabeth Dewey, Jiří Friml, Yunde Zhao, Kimberley Snowden,
    Jo Putterill, Klaus Palme, Mark Estelle, and Joanne Chory. “BIG: A Calossin-like
    Protein Required for Polar Auxin Transport in Arabidopsis.” <i>Genes and Development</i>.
    Cold Spring Harbor Laboratory Press, 2001. <a href="https://doi.org/10.1101/gad.905201">https://doi.org/10.1101/gad.905201</a>.'
  ieee: 'P. Gil <i>et al.</i>, “BIG: A calossin-like protein required for polar auxin
    transport in Arabidopsis,” <i>Genes and Development</i>, vol. 15, no. 15. Cold
    Spring Harbor Laboratory Press, pp. 1985–1997, 2001.'
  ista: 'Gil P, Dewey E, Friml J, Zhao Y, Snowden K, Putterill J, Palme K, Estelle
    M, Chory J. 2001. BIG: A calossin-like protein required for polar auxin transport
    in Arabidopsis. Genes and Development. 15(15), 1985–1997.'
  mla: 'Gil, Pedro, et al. “BIG: A Calossin-like Protein Required for Polar Auxin
    Transport in Arabidopsis.” <i>Genes and Development</i>, vol. 15, no. 15, Cold
    Spring Harbor Laboratory Press, 2001, pp. 1985–97, doi:<a href="https://doi.org/10.1101/gad.905201">10.1101/gad.905201</a>.'
  short: P. Gil, E. Dewey, J. Friml, Y. Zhao, K. Snowden, J. Putterill, K. Palme,
    M. Estelle, J. Chory, Genes and Development 15 (2001) 1985–1997.
date_created: 2018-12-11T12:00:41Z
date_published: 2001-08-01T00:00:00Z
date_updated: 2023-05-16T11:59:47Z
day: '01'
doi: 10.1101/gad.905201
extern: '1'
external_id:
  pmid:
  - '11485992'
intvolume: '        15'
issue: '15'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.ncbi.nlm.nih.gov/pmc/articles/PMC312751/
month: '08'
oa: 1
oa_version: Published Version
page: 1985 - 1997
pmid: 1
publication: Genes and Development
publication_identifier:
  issn:
  - 0890-9369
publication_status: published
publisher: Cold Spring Harbor Laboratory Press
publist_id: '3720'
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'BIG: A calossin-like protein required for polar auxin transport in Arabidopsis'
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 15
year: '2001'
...
---
_id: '2984'
abstract:
- lang: eng
  text: Auxins represent an important class of plant hormone that regulate plant development.
    Plants use specialized carrier proteins to transport the auxin indole-3-acetic
    acid (IAA) to target tissues. To date, efflux carrier-mediated polar auxin transport
    has been assumed to represent the sole mode of long distance IAA movement. Localization
    of the auxin permease AUX1 in the Arabidopsis root apex has revealed a novel phloem-based
    IAA transport pathway. AUX1, asymmetrically localized to the plasma membrane of
    root protophloem cells, is proposed to promote the acropetal, post-phloem movement
    of auxin to the root apex. MS analysis shows that IAA accumulation in aux1 mutant
    root apices is impaired, consistent with an AUX1 phloem unloading function. AUX1
    localization to columella and lateral root cap tissues of the Arabidopsis root
    apex reveals that the auxin permease regulates a second IAA transport pathway.
    Expression studies using an auxin-regulated reporter suggest that AUX1 is necessary
    for root gravitropism by facilitating basipetal auxin transport to distal elongation
    zone tissues.
acknowledgement: "We thank Ben Scheres and Marcus Grebe for critically reading the
  manuscript, Burkhard Schulz for providing advice about the HA epitope tag, and Denis
  Baker for valuable discussion. This work was funded by the BBSRC and European Commission
  grants to the LATIN and POPWOOD research consortia.\r\n\r\nThe publication costs
  of this article were defrayed in part by payment of page charges. This article must
  therefore be hereby marked “advertisement” in accordance with 18 USC section 1734
  solely to indicate this fact."
article_processing_charge: No
article_type: original
author:
- first_name: Ranjan
  full_name: Swarup, Ranjan
  last_name: Swarup
- first_name: Jirí
  full_name: Friml, Jirí
  id: 4159519E-F248-11E8-B48F-1D18A9856A87
  last_name: Friml
  orcid: 0000-0002-8302-7596
- first_name: Alan
  full_name: Marchant, Alan
  last_name: Marchant
- first_name: Karin
  full_name: Ljung, Karin
  last_name: Ljung
- first_name: Göran
  full_name: Sandberg, Göran
  last_name: Sandberg
- first_name: Klaus
  full_name: Palme, Klaus
  last_name: Palme
- first_name: Malcolm
  full_name: Bennett, Malcolm
  last_name: Bennett
citation:
  ama: Swarup R, Friml J, Marchant A, et al. Localization of the auxin permease AUX1
    suggests two functionally distinct hormone transport pathways operate in the Arabidopsis
    root apex. <i>Genes and Development</i>. 2001;15(20):2648-2653. doi:<a href="https://doi.org/10.1101/gad.210501">10.1101/gad.210501</a>
  apa: Swarup, R., Friml, J., Marchant, A., Ljung, K., Sandberg, G., Palme, K., &#38;
    Bennett, M. (2001). Localization of the auxin permease AUX1 suggests two functionally
    distinct hormone transport pathways operate in the Arabidopsis root apex. <i>Genes
    and Development</i>. Cold Spring Harbor Laboratory Press. <a href="https://doi.org/10.1101/gad.210501">https://doi.org/10.1101/gad.210501</a>
  chicago: Swarup, Ranjan, Jiří Friml, Alan Marchant, Karin Ljung, Göran Sandberg,
    Klaus Palme, and Malcolm Bennett. “Localization of the Auxin Permease AUX1 Suggests
    Two Functionally Distinct Hormone Transport Pathways Operate in the Arabidopsis
    Root Apex.” <i>Genes and Development</i>. Cold Spring Harbor Laboratory Press,
    2001. <a href="https://doi.org/10.1101/gad.210501">https://doi.org/10.1101/gad.210501</a>.
  ieee: R. Swarup <i>et al.</i>, “Localization of the auxin permease AUX1 suggests
    two functionally distinct hormone transport pathways operate in the Arabidopsis
    root apex,” <i>Genes and Development</i>, vol. 15, no. 20. Cold Spring Harbor
    Laboratory Press, pp. 2648–2653, 2001.
  ista: Swarup R, Friml J, Marchant A, Ljung K, Sandberg G, Palme K, Bennett M. 2001.
    Localization of the auxin permease AUX1 suggests two functionally distinct hormone
    transport pathways operate in the Arabidopsis root apex. Genes and Development.
    15(20), 2648–2653.
  mla: Swarup, Ranjan, et al. “Localization of the Auxin Permease AUX1 Suggests Two
    Functionally Distinct Hormone Transport Pathways Operate in the Arabidopsis Root
    Apex.” <i>Genes and Development</i>, vol. 15, no. 20, Cold Spring Harbor Laboratory
    Press, 2001, pp. 2648–53, doi:<a href="https://doi.org/10.1101/gad.210501">10.1101/gad.210501</a>.
  short: R. Swarup, J. Friml, A. Marchant, K. Ljung, G. Sandberg, K. Palme, M. Bennett,
    Genes and Development 15 (2001) 2648–2653.
date_created: 2018-12-11T12:00:41Z
date_published: 2001-10-15T00:00:00Z
date_updated: 2023-05-16T11:37:53Z
day: '15'
doi: 10.1101/gad.210501
extern: '1'
external_id:
  pmid:
  - '11641271'
intvolume: '        15'
issue: '20'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: ncbi.nlm.nih.gov/pmc/articles/PMC312818/
month: '10'
oa: 1
oa_version: Published Version
page: 2648 - 2653
pmid: 1
publication: Genes and Development
publication_identifier:
  issn:
  - Genes and Development
publication_status: published
publisher: Cold Spring Harbor Laboratory Press
publist_id: '3718'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Localization of the auxin permease AUX1 suggests two functionally distinct
  hormone transport pathways operate in the Arabidopsis root apex
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 15
year: '2001'
...
---
_id: '1452'
abstract:
- lang: eng
  text: 'In this Note we present pairs of hyperkähler orbifolds which satisfy two
    different versions of mirror symmetry. On the one hand, we show that their Hodge
    numbers (or more precisely, stringy E-polynomials) are equal. On the other hand,
    we show that they satisfy the prescription of Strominger, Yau, and Zaslow (which
    in the present case goes back to Bershadsky, Johansen, Sadov and Vafa): that a
    Calabi-Yau and its mirror should fiber over the same real manifold, with special
    Lagrangian fibers which are tori dual to each other. Our examples arise as moduli
    spaces of local systems on a curve with structure group SL(n); the mirror is the
    corresponding space with structure group PGL(n). The special Lagrangian tori come
    from an algebraically completely integrable Hamiltonian system: the Hitchin system.'
acknowledgement: The authors are grateful for Nigel Hitchin for suggesting the similarity
  between [4] and [12] in 1996 and for Pierre Deligne for numerous useful comments
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Tamas
  full_name: Hausel, Tamas
  id: 4A0666D8-F248-11E8-B48F-1D18A9856A87
  last_name: Hausel
- first_name: Michael
  full_name: Thaddeus, Michael
  last_name: Thaddeus
citation:
  ama: 'Hausel T, Thaddeus M. Examples of mirror partners arising from integrable
    systems. <i>Comptes Rendus de l’Academie des Sciences - Series I: Mathematics</i>.
    2001;333(4):313-318. doi:<a href="https://doi.org/10.1016/S0764-4442(01)02057-2">10.1016/S0764-4442(01)02057-2</a>'
  apa: 'Hausel, T., &#38; Thaddeus, M. (2001). Examples of mirror partners arising
    from integrable systems. <i>Comptes Rendus de l’Academie Des Sciences - Series
    I: Mathematics</i>. Elsevier. <a href="https://doi.org/10.1016/S0764-4442(01)02057-2">https://doi.org/10.1016/S0764-4442(01)02057-2</a>'
  chicago: 'Hausel, Tamás, and Michael Thaddeus. “Examples of Mirror Partners Arising
    from Integrable Systems.” <i>Comptes Rendus de l’Academie Des Sciences - Series
    I: Mathematics</i>. Elsevier, 2001. <a href="https://doi.org/10.1016/S0764-4442(01)02057-2">https://doi.org/10.1016/S0764-4442(01)02057-2</a>.'
  ieee: 'T. Hausel and M. Thaddeus, “Examples of mirror partners arising from integrable
    systems,” <i>Comptes Rendus de l’Academie des Sciences - Series I: Mathematics</i>,
    vol. 333, no. 4. Elsevier, pp. 313–318, 2001.'
  ista: 'Hausel T, Thaddeus M. 2001. Examples of mirror partners arising from integrable
    systems. Comptes Rendus de l’Academie des Sciences - Series I: Mathematics. 333(4),
    313–318.'
  mla: 'Hausel, Tamás, and Michael Thaddeus. “Examples of Mirror Partners Arising
    from Integrable Systems.” <i>Comptes Rendus de l’Academie Des Sciences - Series
    I: Mathematics</i>, vol. 333, no. 4, Elsevier, 2001, pp. 313–18, doi:<a href="https://doi.org/10.1016/S0764-4442(01)02057-2">10.1016/S0764-4442(01)02057-2</a>.'
  short: 'T. Hausel, M. Thaddeus, Comptes Rendus de l’Academie Des Sciences - Series
    I: Mathematics 333 (2001) 313–318.'
date_created: 2018-12-11T11:52:06Z
date_published: 2001-08-15T00:00:00Z
date_updated: 2023-05-31T09:57:48Z
day: '15'
doi: 10.1016/S0764-4442(01)02057-2
extern: '1'
external_id:
  arxiv:
  - math/0106140
intvolume: '       333'
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/math/0106140
month: '08'
oa: 1
oa_version: Preprint
page: 313 - 318
publication: 'Comptes Rendus de l''Academie des Sciences - Series I: Mathematics'
publication_identifier:
  issn:
  - 0764-4442
publication_status: published
publisher: Elsevier
publist_id: '5742'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Examples of mirror partners arising from integrable systems
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 333
year: '2001'
...
---
_id: '1453'
abstract:
- lang: eng
  text: In this Letter we exhibit a one-parameter family of new Taub-NUT instantons
    parameterized by a half-line. The endpoint of the half-line will be the reducible
    Yang-Mills instanton corresponding to the Eguchi-Hanson-Gibbons L2 harmonic 2-form,
    while at an inner point we recover the Pope-Yuille instanton constructed as a
    projection of the Levi-Civitá connection onto the positive su(2)+ ⊂ so(4) subalgebra.
    Our method imitates the Jackiw-Nohl-Rebbi construction originally designed for
    flat R4. That is we find a one-parameter family of harmonic functions on the Taub-NUT
    space with a point singularity, rescale the metric and project the obtained Levi-Civitá
    connection onto the other negative su(2)- ⊂ so(4) part. Our solutions will possess
    the full U(2) symmetry, and thus provide more solutions to the recently proposed
    U(2) symmetric ansatz of Kim and Yoon.
acknowledgement: We would like to acknowledge the financial support provided by the
  Miller Institute of Basic Research in Science, the Japan Society for the Promotion
  of Science, grant No. P99736 and the partial support by OTKA grant No. T032478.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Gábor
  full_name: Etesi, Gábor
  last_name: Etesi
- first_name: Tamas
  full_name: Hausel, Tamas
  id: 4A0666D8-F248-11E8-B48F-1D18A9856A87
  last_name: Hausel
citation:
  ama: 'Etesi G, Hausel T. Geometric construction of new Yang-Mills instantons over
    Taub-NUT space. <i>Physics Letters, Section B: Nuclear, Elementary Particle and
    High-Energy Physics</i>. 2001;514(1-2):189-199. doi:<a href="https://doi.org/10.1016/S0370-2693(01)00821-8">10.1016/S0370-2693(01)00821-8</a>'
  apa: 'Etesi, G., &#38; Hausel, T. (2001). Geometric construction of new Yang-Mills
    instantons over Taub-NUT space. <i>Physics Letters, Section B: Nuclear, Elementary
    Particle and High-Energy Physics</i>. Elsevier. <a href="https://doi.org/10.1016/S0370-2693(01)00821-8">https://doi.org/10.1016/S0370-2693(01)00821-8</a>'
  chicago: 'Etesi, Gábor, and Tamás Hausel. “Geometric Construction of New Yang-Mills
    Instantons over Taub-NUT Space.” <i>Physics Letters, Section B: Nuclear, Elementary
    Particle and High-Energy Physics</i>. Elsevier, 2001. <a href="https://doi.org/10.1016/S0370-2693(01)00821-8">https://doi.org/10.1016/S0370-2693(01)00821-8</a>.'
  ieee: 'G. Etesi and T. Hausel, “Geometric construction of new Yang-Mills instantons
    over Taub-NUT space,” <i>Physics Letters, Section B: Nuclear, Elementary Particle
    and High-Energy Physics</i>, vol. 514, no. 1–2. Elsevier, pp. 189–199, 2001.'
  ista: 'Etesi G, Hausel T. 2001. Geometric construction of new Yang-Mills instantons
    over Taub-NUT space. Physics Letters, Section B: Nuclear, Elementary Particle
    and High-Energy Physics. 514(1–2), 189–199.'
  mla: 'Etesi, Gábor, and Tamás Hausel. “Geometric Construction of New Yang-Mills
    Instantons over Taub-NUT Space.” <i>Physics Letters, Section B: Nuclear, Elementary
    Particle and High-Energy Physics</i>, vol. 514, no. 1–2, Elsevier, 2001, pp. 189–99,
    doi:<a href="https://doi.org/10.1016/S0370-2693(01)00821-8">10.1016/S0370-2693(01)00821-8</a>.'
  short: 'G. Etesi, T. Hausel, Physics Letters, Section B: Nuclear, Elementary Particle
    and High-Energy Physics 514 (2001) 189–199.'
date_created: 2018-12-11T11:52:07Z
date_published: 2001-08-09T00:00:00Z
date_updated: 2023-05-31T11:51:37Z
day: '09'
doi: 10.1016/S0370-2693(01)00821-8
extern: '1'
external_id:
  arxiv:
  - hep-th/0105118
intvolume: '       514'
issue: 1-2
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/hep-th/0105118
month: '08'
oa: 1
oa_version: Preprint
page: 189 - 199
publication: 'Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy
  Physics'
publication_identifier:
  issn:
  - 0370-2693
publication_status: published
publisher: Elsevier
publist_id: '5743'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Geometric construction of new Yang-Mills instantons over Taub-NUT space
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 514
year: '2001'
...
---
_id: '1454'
abstract:
- lang: eng
  text: We address the problem of finding Abelian instantons of finite energy on the
    Euclidean Schwarzschild manifold. This amounts to construct self-dual L2 harmonic
    2-forms on the space. Gibbons found a non-topological L2 harmonic form in the
    Taub-NUT metric, leading to Abelian instantons with continuous energy. We imitate
    his construction in the case of the Euclidean Schwarzschild manifold and find
    a non-topological self-dual L2 harmonic 2-form on it. We show how this gives rise
    to Abelian instantons and identify them with SU(2)-instantons of Pontryagin number
    2n2 found by Charap and Duff in 1977. Using results of Dodziuk and Hitchin we
    also calculate the full L2 harmonic space for the Euclidean Schwarzschild manifold.
acknowledgement: The work in this paper was done when Tamás Hausel visited the Yukawa
  Institute of Kyoto University in February 2000. We are grateful for Prof. G.W. Gibbons
  for insightful discussions and Prof. H. Kodama and the Yukawa Institute for the
  invitation and hospitality.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Gábor
  full_name: Etesi, Gábor
  last_name: Etesi
- first_name: Tamas
  full_name: Hausel, Tamas
  id: 4A0666D8-F248-11E8-B48F-1D18A9856A87
  last_name: Hausel
citation:
  ama: Etesi G, Hausel T. Geometric interpretation of Schwarzschild instantons. <i>Journal
    of Geometry and Physics</i>. 2001;37(1-2):126-136. doi:<a href="https://doi.org/10.1016/S0393-0440(00)00040-1">10.1016/S0393-0440(00)00040-1</a>
  apa: Etesi, G., &#38; Hausel, T. (2001). Geometric interpretation of Schwarzschild
    instantons. <i>Journal of Geometry and Physics</i>. Elsevier. <a href="https://doi.org/10.1016/S0393-0440(00)00040-1">https://doi.org/10.1016/S0393-0440(00)00040-1</a>
  chicago: Etesi, Gábor, and Tamás Hausel. “Geometric Interpretation of Schwarzschild
    Instantons.” <i>Journal of Geometry and Physics</i>. Elsevier, 2001. <a href="https://doi.org/10.1016/S0393-0440(00)00040-1">https://doi.org/10.1016/S0393-0440(00)00040-1</a>.
  ieee: G. Etesi and T. Hausel, “Geometric interpretation of Schwarzschild instantons,”
    <i>Journal of Geometry and Physics</i>, vol. 37, no. 1–2. Elsevier, pp. 126–136,
    2001.
  ista: Etesi G, Hausel T. 2001. Geometric interpretation of Schwarzschild instantons.
    Journal of Geometry and Physics. 37(1–2), 126–136.
  mla: Etesi, Gábor, and Tamás Hausel. “Geometric Interpretation of Schwarzschild
    Instantons.” <i>Journal of Geometry and Physics</i>, vol. 37, no. 1–2, Elsevier,
    2001, pp. 126–36, doi:<a href="https://doi.org/10.1016/S0393-0440(00)00040-1">10.1016/S0393-0440(00)00040-1</a>.
  short: G. Etesi, T. Hausel, Journal of Geometry and Physics 37 (2001) 126–136.
date_created: 2018-12-11T11:52:07Z
date_published: 2001-01-01T00:00:00Z
date_updated: 2023-05-31T12:08:45Z
day: '01'
doi: 10.1016/S0393-0440(00)00040-1
extern: '1'
external_id:
  arxiv:
  - hep-th/0003239
intvolume: '        37'
issue: 1-2
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/hep-th/0003239
month: '01'
oa: 1
oa_version: Preprint
page: 126 - 136
publication: Journal of Geometry and Physics
publication_identifier:
  issn:
  - 0393-0440
publication_status: published
publisher: Elsevier
publist_id: '5744'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Geometric interpretation of Schwarzschild instantons
type: journal_article
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 37
year: '2001'
...
---
OA_place: repository
OA_type: green
_id: '18736'
abstract:
- lang: eng
  text: Empirical studies of the first generation of stars and quasars will likely
    become feasible within the next decade in several different wavelength bands.
    Microwave anisotropy experiments, such as MAP or Planck, will set constraints
    on the ionization history of the intergalactic medium due to these sources. In
    the infrared, the Next Generation Space Telescope (NGST) will be able to directly
    detect sub-galactic objects at redshifts z>10. In the optical, data from the Hubble
    Deep Field already places a constraint on the abundance of high-redshift quasars.
    However, the epoch of the first quasars might be first probed in X-ray bands,
    by instruments such as the Chandra X-ray Observatory (CXO) and the X-ray Multi-mirror
    Mission (XMM). In a 500 Ksec integration, CXO reaches a sensitivity of 2x10-16
    erg/s cm^2. Based on simple hierarchical CDM models, we find that at this flux
    threshold approx. 100 quasars might be detectable from redshifts z>5, and approx.
    1 quasar at z=10, in each 17x17 arcmin field. Measurement of the power spectrum
    of the unresolved soft X-ray background will further constrain models of faint,
    high-redshift quasars.
article_processing_charge: No
arxiv: 1
author:
- first_name: Zoltán
  full_name: Haiman, Zoltán
  id: 7c006e8c-cc0d-11ee-8322-cb904ef76f36
  last_name: Haiman
  orcid: 0000-0003-3633-5403
citation:
  ama: 'Haiman Z. Probing the cosmic dark age in X-rays. In: <i>AIP Conference Proceedings</i>.
    Vol 599. AIP Publishing; 2001:140-149. doi:<a href="https://doi.org/10.1063/1.1434627">10.1063/1.1434627</a>'
  apa: 'Haiman, Z. (2001). Probing the cosmic dark age in X-rays. In <i>AIP Conference
    Proceedings</i> (Vol. 599, pp. 140–149). Bologna, Italy: AIP Publishing. <a href="https://doi.org/10.1063/1.1434627">https://doi.org/10.1063/1.1434627</a>'
  chicago: Haiman, Zoltán. “Probing the Cosmic Dark Age in X-Rays.” In <i>AIP Conference
    Proceedings</i>, 599:140–49. AIP Publishing, 2001. <a href="https://doi.org/10.1063/1.1434627">https://doi.org/10.1063/1.1434627</a>.
  ieee: Z. Haiman, “Probing the cosmic dark age in X-rays,” in <i>AIP Conference Proceedings</i>,
    Bologna, Italy, 2001, vol. 599, no. 1, pp. 140–149.
  ista: 'Haiman Z. 2001. Probing the cosmic dark age in X-rays. AIP Conference Proceedings.
    X-RAY ASTRONOMY: Stellar Endpoints,AGN, and the Diffuse X-ray Background vol.
    599, 140–149.'
  mla: Haiman, Zoltán. “Probing the Cosmic Dark Age in X-Rays.” <i>AIP Conference
    Proceedings</i>, vol. 599, no. 1, AIP Publishing, 2001, pp. 140–49, doi:<a href="https://doi.org/10.1063/1.1434627">10.1063/1.1434627</a>.
  short: Z. Haiman, in:, AIP Conference Proceedings, AIP Publishing, 2001, pp. 140–149.
conference:
  end_date: 1999-09-10
  location: Bologna, Italy
  name: 'X-RAY ASTRONOMY: Stellar Endpoints,AGN, and the Diffuse X-ray Background'
  start_date: 1999-09-06
date_created: 2025-01-03T12:29:34Z
date_published: 2001-12-05T00:00:00Z
date_updated: 2025-01-07T14:27:17Z
day: '05'
doi: 10.1063/1.1434627
extern: '1'
external_id:
  arxiv:
  - astro-ph/0001271
intvolume: '       599'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/astro-ph/0001271
month: '12'
oa: 1
oa_version: Preprint
page: 140-149
publication: AIP Conference Proceedings
publication_identifier:
  issn:
  - 0094-243X
publication_status: published
publisher: AIP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: Probing the cosmic dark age in X-rays
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 599
year: '2001'
...
---
OA_place: repository
OA_type: green
_id: '18743'
abstract:
- lang: eng
  text: "Over the coming decade, the observational samples available for studies of
    cluster abundance evolution will increase from tens to hundreds, or possibly to
    thousands, of clusters. Here we assess the power of future surveys to determine
    cosmological parameters. We quantify the statistical differences among cosmologies,
    including the effects of the cosmic equation of state parameter w, in mock cluster
    catalogs simulating a 12 deg^2 Sunyaev-Zel’dovich Effect (SZE) survey and a deep
    10^4 deg^2 X-ray survey. The constraints from clusters are complementary to those
    from studies of high-redshift Supernovae (SNe), CMB anisotropies, or counts of
    high-redshift galaxies. Our results indicate that a statistical uncertainty of
    a few percent on both Ωm\r\n and w can be reached when cluster surveys are used
    in combination with any of these other datasets."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Zoltán
  full_name: Haiman, Zoltán
  id: 7c006e8c-cc0d-11ee-8322-cb904ef76f36
  last_name: Haiman
  orcid: 0000-0003-3633-5403
citation:
  ama: Haiman Z. Clusters in the precision cosmology era. <i>AIP Conference Proceedings</i>.
    2001;586(1):303-309. doi:<a href="https://doi.org/10.1063/1.1419569">10.1063/1.1419569</a>
  apa: 'Haiman, Z. (2001). Clusters in the precision cosmology era. <i>AIP Conference
    Proceedings</i>. Austin, TX, United States: AIP. <a href="https://doi.org/10.1063/1.1419569">https://doi.org/10.1063/1.1419569</a>'
  chicago: Haiman, Zoltán. “Clusters in the Precision Cosmology Era.” <i>AIP Conference
    Proceedings</i>. AIP, 2001. <a href="https://doi.org/10.1063/1.1419569">https://doi.org/10.1063/1.1419569</a>.
  ieee: Z. Haiman, “Clusters in the precision cosmology era,” <i>AIP Conference Proceedings</i>,
    vol. 586, no. 1. AIP, pp. 303–309, 2001.
  ista: Haiman Z. 2001. Clusters in the precision cosmology era. AIP Conference Proceedings.
    586(1), 303–309.
  mla: Haiman, Zoltán. “Clusters in the Precision Cosmology Era.” <i>AIP Conference
    Proceedings</i>, vol. 586, no. 1, AIP, 2001, pp. 303–09, doi:<a href="https://doi.org/10.1063/1.1419569">10.1063/1.1419569</a>.
  short: Z. Haiman, AIP Conference Proceedings 586 (2001) 303–309.
conference:
  end_date: 2000-12-15
  location: Austin, TX, United States
  name: RELATIVISTIC ASTROPHYSICS
  start_date: 2000-12-10
date_created: 2025-01-03T12:35:17Z
date_published: 2001-10-15T00:00:00Z
date_updated: 2025-01-07T14:08:38Z
day: '15'
doi: 10.1063/1.1419569
extern: '1'
external_id:
  arxiv:
  - astro-ph/0103049
intvolume: '       586'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/astro-ph/0103049
month: '10'
oa: 1
oa_version: Preprint
page: 303-309
publication: AIP Conference Proceedings
publication_identifier:
  issn:
  - 0094-243X
publication_status: published
publisher: AIP
quality_controlled: '1'
scopus_import: '1'
status: public
title: Clusters in the precision cosmology era
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 586
year: '2001'
...
