---
_id: '11121'
abstract:
- lang: eng
  text: In metazoa, the nuclear envelope breaks down and reforms during each cell
    cycle. Nuclear pore complexes (NPCs), which serve as channels for transport between
    the nucleus and cytoplasm1, assemble into the reforming nuclear envelope in a
    sequential process involving association of a subset of NPC proteins, nucleoporins,
    with chromatin followed by the formation of a closed nuclear envelope fenestrated
    by NPCs2,3,4,5,6,7. How chromatin recruitment of nucleoporins and NPC assembly
    are regulated is unknown. Here we demonstrate that RanGTP production is required
    to dissociate nucleoporins Nup107, Nup153 and Nup358 from Importin β, to target
    them to chromatin and to induce association between separate NPC subcomplexes.
    Additionally, either an excess of RanGTP or removal of Importin β induces formation
    of NPC-containing membrane structures—annulate lamellae—both in vitro in the absence
    of chromatin and in vivo. Annulate lamellae formation is strongly and specifically
    inhibited by an excess of Importin β. The data demonstrate that RanGTP triggers
    distinct steps of NPC assembly, and suggest a mechanism for the spatial restriction
    of NPC assembly to the surface of chromatin.
article_processing_charge: No
article_type: original
author:
- first_name: Tobias C.
  full_name: Walther, Tobias C.
  last_name: Walther
- first_name: Peter
  full_name: Askjaer, Peter
  last_name: Askjaer
- first_name: Marc
  full_name: Gentzel, Marc
  last_name: Gentzel
- first_name: Anja
  full_name: Habermann, Anja
  last_name: Habermann
- first_name: Gareth
  full_name: Griffiths, Gareth
  last_name: Griffiths
- first_name: Matthias
  full_name: Wilm, Matthias
  last_name: Wilm
- first_name: Iain W.
  full_name: Mattaj, Iain W.
  last_name: Mattaj
- first_name: Martin W
  full_name: HETZER, Martin W
  id: 86c0d31b-b4eb-11ec-ac5a-eae7b2e135ed
  last_name: HETZER
  orcid: 0000-0002-2111-992X
citation:
  ama: Walther TC, Askjaer P, Gentzel M, et al. RanGTP mediates nuclear pore complex
    assembly. <i>Nature</i>. 2003;424(6949):689-694. doi:<a href="https://doi.org/10.1038/nature01898">10.1038/nature01898</a>
  apa: Walther, T. C., Askjaer, P., Gentzel, M., Habermann, A., Griffiths, G., Wilm,
    M., … Hetzer, M. (2003). RanGTP mediates nuclear pore complex assembly. <i>Nature</i>.
    Springer Nature. <a href="https://doi.org/10.1038/nature01898">https://doi.org/10.1038/nature01898</a>
  chicago: Walther, Tobias C., Peter Askjaer, Marc Gentzel, Anja Habermann, Gareth
    Griffiths, Matthias Wilm, Iain W. Mattaj, and Martin Hetzer. “RanGTP Mediates
    Nuclear Pore Complex Assembly.” <i>Nature</i>. Springer Nature, 2003. <a href="https://doi.org/10.1038/nature01898">https://doi.org/10.1038/nature01898</a>.
  ieee: T. C. Walther <i>et al.</i>, “RanGTP mediates nuclear pore complex assembly,”
    <i>Nature</i>, vol. 424, no. 6949. Springer Nature, pp. 689–694, 2003.
  ista: Walther TC, Askjaer P, Gentzel M, Habermann A, Griffiths G, Wilm M, Mattaj
    IW, Hetzer M. 2003. RanGTP mediates nuclear pore complex assembly. Nature. 424(6949),
    689–694.
  mla: Walther, Tobias C., et al. “RanGTP Mediates Nuclear Pore Complex Assembly.”
    <i>Nature</i>, vol. 424, no. 6949, Springer Nature, 2003, pp. 689–94, doi:<a href="https://doi.org/10.1038/nature01898">10.1038/nature01898</a>.
  short: T.C. Walther, P. Askjaer, M. Gentzel, A. Habermann, G. Griffiths, M. Wilm,
    I.W. Mattaj, M. Hetzer, Nature 424 (2003) 689–694.
date_created: 2022-04-07T07:57:02Z
date_published: 2003-07-30T00:00:00Z
date_updated: 2022-07-18T08:57:40Z
day: '30'
doi: 10.1038/nature01898
extern: '1'
external_id:
  pmid:
  - '12894213'
intvolume: '       424'
issue: '6949'
keyword:
- Multidisciplinary
language:
- iso: eng
month: '07'
oa_version: None
page: 689-694
pmid: 1
publication: Nature
publication_identifier:
  eissn:
  - 1476-4687
  issn:
  - 0028-0836
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: RanGTP mediates nuclear pore complex assembly
type: journal_article
user_id: 72615eeb-f1f3-11ec-aa25-d4573ddc34fd
volume: 424
year: '2003'
...
---
_id: '11122'
abstract:
- lang: eng
  text: Nuclear pore complexes (NPCs) are large multiprotein assemblies that allow
    traffic between the cytoplasm and the nucleus. During mitosis in higher eukaryotes,
    the Nuclear Envelope (NE) breaks down and NPCs disassemble. How NPCs reassemble
    and incorporate into the NE upon mitotic exit is poorly understood. We demonstrate
    a function for the conserved Nup107-160 complex in this process. Partial in vivo
    depletion of Nup133 or Nup107 via RNAi in HeLa cells resulted in reduced levels
    of multiple nucleoporins and decreased NPC density in the NE. Immunodepletion
    of the entire Nup107-160 complex from in vitro nuclear assembly reactions produced
    nuclei with a continuous NE but no NPCs. This phenotype was reversible only if
    Nup107-160 complex was readded before closed NE formation. Depletion also prevented
    association of FG-repeat nucleoporins with chromatin. We propose a stepwise model
    in which postmitotic NPC assembly initiates on chromatin via early recruitment
    of the Nup107-160 complex.
article_processing_charge: No
article_type: original
author:
- first_name: Tobias C.
  full_name: Walther, Tobias C.
  last_name: Walther
- first_name: Annabelle
  full_name: Alves, Annabelle
  last_name: Alves
- first_name: Helen
  full_name: Pickersgill, Helen
  last_name: Pickersgill
- first_name: Isabelle
  full_name: Loı̈odice, Isabelle
  last_name: Loı̈odice
- first_name: Martin W
  full_name: HETZER, Martin W
  id: 86c0d31b-b4eb-11ec-ac5a-eae7b2e135ed
  last_name: HETZER
  orcid: 0000-0002-2111-992X
- first_name: Vincent
  full_name: Galy, Vincent
  last_name: Galy
- first_name: Bastian B.
  full_name: Hülsmann, Bastian B.
  last_name: Hülsmann
- first_name: Thomas
  full_name: Köcher, Thomas
  last_name: Köcher
- first_name: Matthias
  full_name: Wilm, Matthias
  last_name: Wilm
- first_name: Terry
  full_name: Allen, Terry
  last_name: Allen
- first_name: Iain W.
  full_name: Mattaj, Iain W.
  last_name: Mattaj
- first_name: Valérie
  full_name: Doye, Valérie
  last_name: Doye
citation:
  ama: Walther TC, Alves A, Pickersgill H, et al. The conserved Nup107-160 complex
    is critical for nuclear pore complex assembly. <i>Cell</i>. 2003;113(2):195-206.
    doi:<a href="https://doi.org/10.1016/s0092-8674(03)00235-6">10.1016/s0092-8674(03)00235-6</a>
  apa: Walther, T. C., Alves, A., Pickersgill, H., Loı̈odice, I., Hetzer, M., Galy,
    V., … Doye, V. (2003). The conserved Nup107-160 complex is critical for nuclear
    pore complex assembly. <i>Cell</i>. Elsevier. <a href="https://doi.org/10.1016/s0092-8674(03)00235-6">https://doi.org/10.1016/s0092-8674(03)00235-6</a>
  chicago: Walther, Tobias C., Annabelle Alves, Helen Pickersgill, Isabelle Loı̈odice,
    Martin Hetzer, Vincent Galy, Bastian B. Hülsmann, et al. “The Conserved Nup107-160
    Complex Is Critical for Nuclear Pore Complex Assembly.” <i>Cell</i>. Elsevier,
    2003. <a href="https://doi.org/10.1016/s0092-8674(03)00235-6">https://doi.org/10.1016/s0092-8674(03)00235-6</a>.
  ieee: T. C. Walther <i>et al.</i>, “The conserved Nup107-160 complex is critical
    for nuclear pore complex assembly,” <i>Cell</i>, vol. 113, no. 2. Elsevier, pp.
    195–206, 2003.
  ista: Walther TC, Alves A, Pickersgill H, Loı̈odice I, Hetzer M, Galy V, Hülsmann
    BB, Köcher T, Wilm M, Allen T, Mattaj IW, Doye V. 2003. The conserved Nup107-160
    complex is critical for nuclear pore complex assembly. Cell. 113(2), 195–206.
  mla: Walther, Tobias C., et al. “The Conserved Nup107-160 Complex Is Critical for
    Nuclear Pore Complex Assembly.” <i>Cell</i>, vol. 113, no. 2, Elsevier, 2003,
    pp. 195–206, doi:<a href="https://doi.org/10.1016/s0092-8674(03)00235-6">10.1016/s0092-8674(03)00235-6</a>.
  short: T.C. Walther, A. Alves, H. Pickersgill, I. Loı̈odice, M. Hetzer, V. Galy,
    B.B. Hülsmann, T. Köcher, M. Wilm, T. Allen, I.W. Mattaj, V. Doye, Cell 113 (2003)
    195–206.
date_created: 2022-04-07T07:57:10Z
date_published: 2003-04-17T00:00:00Z
date_updated: 2022-07-18T08:57:42Z
day: '17'
doi: 10.1016/s0092-8674(03)00235-6
extern: '1'
external_id:
  pmid:
  - '12705868'
intvolume: '       113'
issue: '2'
keyword:
- General Biochemistry
- Genetics and Molecular Biology
language:
- iso: eng
month: '04'
oa_version: Published Version
page: 195-206
pmid: 1
publication: Cell
publication_identifier:
  issn:
  - 0092-8674
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: The conserved Nup107-160 complex is critical for nuclear pore complex assembly
type: journal_article
user_id: 72615eeb-f1f3-11ec-aa25-d4573ddc34fd
volume: 113
year: '2003'
...
---
_id: '11764'
abstract:
- lang: eng
  text: In this paper we consider the online ftp problem. The goal is to service a
    sequence of file transfer requests given bandwidth constraints of the underlying
    communication network. The main result of the paper is a technique that leads
    to algorithms that optimize several natural metrics, such as max-stretch, total
    flow time, max flow time, and total completion time. In particular, we show how
    to achieve optimum total flow time and optimum max-stretch if we increase the
    capacity of the underlying network by a logarithmic factor. We show that the resource
    augmentation is necessary by proving polynomial lower bounds on the max-stretch
    and total flow time for the case where online and offline algorithms are using
    same-capacity edges. Moreover, we also give polylogarithmic lower bounds on the
    resource augmentation factor necessary in order to keep the total flow time and
    max-stretch within a constant factor of optimum.
article_processing_charge: No
article_type: original
author:
- first_name: Ashish
  full_name: Goel, Ashish
  last_name: Goel
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Serge
  full_name: Plotkin, Serge
  last_name: Plotkin
- first_name: Eva
  full_name: Tardos, Eva
  last_name: Tardos
citation:
  ama: Goel A, Henzinger MH, Plotkin S, Tardos E. Scheduling data transfers in a network
    and the set scheduling problem. <i>Journal of Algorithms</i>. 2003;48(2):314-332.
    doi:<a href="https://doi.org/10.1016/s0196-6774(03)00054-3">10.1016/s0196-6774(03)00054-3</a>
  apa: Goel, A., Henzinger, M. H., Plotkin, S., &#38; Tardos, E. (2003). Scheduling
    data transfers in a network and the set scheduling problem. <i>Journal of Algorithms</i>.
    Elsevier. <a href="https://doi.org/10.1016/s0196-6774(03)00054-3">https://doi.org/10.1016/s0196-6774(03)00054-3</a>
  chicago: Goel, Ashish, Monika H Henzinger, Serge Plotkin, and Eva Tardos. “Scheduling
    Data Transfers in a Network and the Set Scheduling Problem.” <i>Journal of Algorithms</i>.
    Elsevier, 2003. <a href="https://doi.org/10.1016/s0196-6774(03)00054-3">https://doi.org/10.1016/s0196-6774(03)00054-3</a>.
  ieee: A. Goel, M. H. Henzinger, S. Plotkin, and E. Tardos, “Scheduling data transfers
    in a network and the set scheduling problem,” <i>Journal of Algorithms</i>, vol.
    48, no. 2. Elsevier, pp. 314–332, 2003.
  ista: Goel A, Henzinger MH, Plotkin S, Tardos E. 2003. Scheduling data transfers
    in a network and the set scheduling problem. Journal of Algorithms. 48(2), 314–332.
  mla: Goel, Ashish, et al. “Scheduling Data Transfers in a Network and the Set Scheduling
    Problem.” <i>Journal of Algorithms</i>, vol. 48, no. 2, Elsevier, 2003, pp. 314–32,
    doi:<a href="https://doi.org/10.1016/s0196-6774(03)00054-3">10.1016/s0196-6774(03)00054-3</a>.
  short: A. Goel, M.H. Henzinger, S. Plotkin, E. Tardos, Journal of Algorithms 48
    (2003) 314–332.
date_created: 2022-08-08T12:09:32Z
date_published: 2003-09-01T00:00:00Z
date_updated: 2022-09-12T09:45:06Z
day: '01'
doi: 10.1016/s0196-6774(03)00054-3
extern: '1'
intvolume: '        48'
issue: '2'
language:
- iso: eng
month: '09'
oa_version: None
page: 314-332
publication: Journal of Algorithms
publication_identifier:
  issn:
  - 0196-6774
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Scheduling data transfers in a network and the set scheduling problem
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 48
year: '2003'
...
---
_id: '11766'
abstract:
- lang: eng
  text: 'This paper studies the multicast routing and admission control problem on
    unit-capacity tree and mesh topologies in the throughput model. The problem is
    a generalization of the edge-disjoint paths problem and is NP-hard both on trees
    and meshes. We study both the offline and the online version of the problem: In
    the offline setting, we give the first constant-factor approximation algorithm
    for trees, and an -factor approximation algorithm for meshes. In the online setting,
    we give the first polylogarithmic competitive online algorithm for tree and mesh
    topologies. No polylogarithmic-competitive algorithm is possible on general network
    topologies (Lower bounds for on-line graph problems with application to on-line
    circuits and optical routing, in: Proceedings of the 28th ACM Symposium on Theory
    of Computing, 1996, pp. 531–540) and there exists a polylogarithmic lower bound
    on the competitive ratio of any online algorithm on tree topologies (Making commitments
    in the face of uncertainity: how to pick a winner almost every time, in: Proceedings
    of the 28th Annual ACM Symposium on Theory of Computing, 1996, pp. 519–530). We
    prove the same lower bound for meshes.'
article_processing_charge: No
article_type: original
author:
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Stefano
  full_name: Leonardi, Stefano
  last_name: Leonardi
citation:
  ama: Henzinger MH, Leonardi S. Scheduling multicasts on unit-capacity trees and
    meshes. <i>Journal of Computer and System Sciences</i>. 2003;66(3):567-611. doi:<a
    href="https://doi.org/10.1016/s0022-0000(03)00043-6">10.1016/s0022-0000(03)00043-6</a>
  apa: Henzinger, M. H., &#38; Leonardi, S. (2003). Scheduling multicasts on unit-capacity
    trees and meshes. <i>Journal of Computer and System Sciences</i>. Elsevier. <a
    href="https://doi.org/10.1016/s0022-0000(03)00043-6">https://doi.org/10.1016/s0022-0000(03)00043-6</a>
  chicago: Henzinger, Monika H, and Stefano Leonardi. “Scheduling Multicasts on Unit-Capacity
    Trees and Meshes.” <i>Journal of Computer and System Sciences</i>. Elsevier, 2003.
    <a href="https://doi.org/10.1016/s0022-0000(03)00043-6">https://doi.org/10.1016/s0022-0000(03)00043-6</a>.
  ieee: M. H. Henzinger and S. Leonardi, “Scheduling multicasts on unit-capacity trees
    and meshes,” <i>Journal of Computer and System Sciences</i>, vol. 66, no. 3. Elsevier,
    pp. 567–611, 2003.
  ista: Henzinger MH, Leonardi S. 2003. Scheduling multicasts on unit-capacity trees
    and meshes. Journal of Computer and System Sciences. 66(3), 567–611.
  mla: Henzinger, Monika H., and Stefano Leonardi. “Scheduling Multicasts on Unit-Capacity
    Trees and Meshes.” <i>Journal of Computer and System Sciences</i>, vol. 66, no.
    3, Elsevier, 2003, pp. 567–611, doi:<a href="https://doi.org/10.1016/s0022-0000(03)00043-6">10.1016/s0022-0000(03)00043-6</a>.
  short: M.H. Henzinger, S. Leonardi, Journal of Computer and System Sciences 66 (2003)
    567–611.
date_created: 2022-08-08T12:24:35Z
date_published: 2003-05-01T00:00:00Z
date_updated: 2023-02-10T08:03:31Z
day: '01'
doi: 10.1016/s0022-0000(03)00043-6
extern: '1'
intvolume: '        66'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1016/S0022-0000(03)00043-6
month: '05'
oa: 1
oa_version: Published Version
page: 567-611
publication: Journal of Computer and System Sciences
publication_identifier:
  issn:
  - 0022-0000
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Scheduling multicasts on unit-capacity trees and meshes
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 66
year: '2003'
...
---
_id: '847'
abstract:
- lang: eng
  text: The accumulation of genome-wide information on single nucleotide polymorphisms
    in humans provides an unprecedented opportunity to detect the evolutionary forces
    responsible for heterogeneity of the level of genetic variability across loci.
    Previous studies have shown that history of recombination events has produced
    long haplotype blocks in the human genome, which contribute to this heterogeneity.
    Other factors, however, such as natural selection or the heterogeneity of mutation
    rates across loci, may also lead to heterogeneity of genetic variability. We compared
    synonymous and non-synonymous variability within human genes with their divergence
    from murine orthologs. We separately analyzed the non-synonymous variants predicted
    to damage protein structure or function and the variants predicted to be functionally
    benign. The predictions were based on comparative sequence analysis and, in some
    cases, on the analysis of protein structure. A strong correlation between non-synonymous,
    benign variability and non-synonymous human-mouse divergence suggests that selection
    played an important role in shaping the pattern of variability in coding regions
    of human genes. However, the lack of correlation between deleterious variability
    and evolutionary divergence shows that a substantial proportion of the observed
    non-synonymous single-nucleotide polymorphisms reduces fitness and never reaches
    fixation. Evolutionary and medical implications of the impact of selection on
    human polymorphisms are discussed.
acknowledgement: We are grateful to Alexey Kondrashov and Alison Wellman for the careful
  reading of the manuscript and providing us with their valuable comments.
author:
- first_name: Shamil
  full_name: Sunyaev, Shamil R
  last_name: Sunyaev
- first_name: Fyodor
  full_name: Fyodor Kondrashov
  id: 44FDEF62-F248-11E8-B48F-1D18A9856A87
  last_name: Kondrashov
  orcid: 0000-0001-8243-4694
- first_name: Peer
  full_name: Bork, Peer
  last_name: Bork
- first_name: Vasily
  full_name: Ramensky, Vasily
  last_name: Ramensky
citation:
  ama: Sunyaev S, Kondrashov F, Bork P, Ramensky V. Impact of selection, mutation
    rate and genetic drift on human genetic variation. <i>Human Molecular Genetics</i>.
    2003;12(24):3325-3330. doi:<a href="https://doi.org/10.1093/hmg/ddg359">10.1093/hmg/ddg359</a>
  apa: Sunyaev, S., Kondrashov, F., Bork, P., &#38; Ramensky, V. (2003). Impact of
    selection, mutation rate and genetic drift on human genetic variation. <i>Human
    Molecular Genetics</i>. Oxford University Press. <a href="https://doi.org/10.1093/hmg/ddg359">https://doi.org/10.1093/hmg/ddg359</a>
  chicago: Sunyaev, Shamil, Fyodor Kondrashov, Peer Bork, and Vasily Ramensky. “Impact
    of Selection, Mutation Rate and Genetic Drift on Human Genetic Variation.” <i>Human
    Molecular Genetics</i>. Oxford University Press, 2003. <a href="https://doi.org/10.1093/hmg/ddg359">https://doi.org/10.1093/hmg/ddg359</a>.
  ieee: S. Sunyaev, F. Kondrashov, P. Bork, and V. Ramensky, “Impact of selection,
    mutation rate and genetic drift on human genetic variation,” <i>Human Molecular
    Genetics</i>, vol. 12, no. 24. Oxford University Press, pp. 3325–3330, 2003.
  ista: Sunyaev S, Kondrashov F, Bork P, Ramensky V. 2003. Impact of selection, mutation
    rate and genetic drift on human genetic variation. Human Molecular Genetics. 12(24),
    3325–3330.
  mla: Sunyaev, Shamil, et al. “Impact of Selection, Mutation Rate and Genetic Drift
    on Human Genetic Variation.” <i>Human Molecular Genetics</i>, vol. 12, no. 24,
    Oxford University Press, 2003, pp. 3325–30, doi:<a href="https://doi.org/10.1093/hmg/ddg359">10.1093/hmg/ddg359</a>.
  short: S. Sunyaev, F. Kondrashov, P. Bork, V. Ramensky, Human Molecular Genetics
    12 (2003) 3325–3330.
date_created: 2018-12-11T11:48:49Z
date_published: 2003-12-15T00:00:00Z
date_updated: 2021-01-12T08:19:29Z
day: '15'
doi: 10.1093/hmg/ddg359
extern: 1
intvolume: '        12'
issue: '24'
month: '12'
page: 3325 - 3330
publication: Human Molecular Genetics
publication_status: published
publisher: Oxford University Press
publist_id: '6803'
quality_controlled: 0
status: public
title: Impact of selection, mutation rate and genetic drift on human genetic variation
type: journal_article
volume: 12
year: '2003'
...
---
_id: '8519'
article_processing_charge: No
article_type: original
author:
- first_name: Vadim
  full_name: Kaloshin, Vadim
  id: FE553552-CDE8-11E9-B324-C0EBE5697425
  last_name: Kaloshin
  orcid: 0000-0002-6051-2628
citation:
  ama: Kaloshin V. The existential Hilbert 16-th problem and an estimate for cyclicity
    of elementary polycycles. <i>Inventiones mathematicae</i>. 2003;151(3):451-512.
    doi:<a href="https://doi.org/10.1007/s00222-002-0244-9">10.1007/s00222-002-0244-9</a>
  apa: Kaloshin, V. (2003). The existential Hilbert 16-th problem and an estimate
    for cyclicity of elementary polycycles. <i>Inventiones Mathematicae</i>. Springer
    Nature. <a href="https://doi.org/10.1007/s00222-002-0244-9">https://doi.org/10.1007/s00222-002-0244-9</a>
  chicago: Kaloshin, Vadim. “The Existential Hilbert 16-Th Problem and an Estimate
    for Cyclicity of Elementary Polycycles.” <i>Inventiones Mathematicae</i>. Springer
    Nature, 2003. <a href="https://doi.org/10.1007/s00222-002-0244-9">https://doi.org/10.1007/s00222-002-0244-9</a>.
  ieee: V. Kaloshin, “The existential Hilbert 16-th problem and an estimate for cyclicity
    of elementary polycycles,” <i>Inventiones mathematicae</i>, vol. 151, no. 3. Springer
    Nature, pp. 451–512, 2003.
  ista: Kaloshin V. 2003. The existential Hilbert 16-th problem and an estimate for
    cyclicity of elementary polycycles. Inventiones mathematicae. 151(3), 451–512.
  mla: Kaloshin, Vadim. “The Existential Hilbert 16-Th Problem and an Estimate for
    Cyclicity of Elementary Polycycles.” <i>Inventiones Mathematicae</i>, vol. 151,
    no. 3, Springer Nature, 2003, pp. 451–512, doi:<a href="https://doi.org/10.1007/s00222-002-0244-9">10.1007/s00222-002-0244-9</a>.
  short: V. Kaloshin, Inventiones Mathematicae 151 (2003) 451–512.
date_created: 2020-09-18T10:49:26Z
date_published: 2003-03-01T00:00:00Z
date_updated: 2021-01-12T08:19:50Z
day: '01'
doi: 10.1007/s00222-002-0244-9
extern: '1'
intvolume: '       151'
issue: '3'
keyword:
- General Mathematics
language:
- iso: eng
month: '03'
oa_version: None
page: 451-512
publication: Inventiones mathematicae
publication_identifier:
  issn:
  - 0020-9910
  - 1432-1297
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
status: public
title: The existential Hilbert 16-th problem and an estimate for cyclicity of elementary
  polycycles
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 151
year: '2003'
...
---
_id: '876'
abstract:
- lang: eng
  text: Alternative splicing is thought to be a major source of functional diversity
    in animal proteins. We analyzed the evolutionary conservation of proteins encoded
    by alternatively spliced genes and predicted the ancestral state for 73 cases
    of alternative splicing (25 insertions and 48 deletions). The amino acid sequences
    of most of the inserts in proteins produced by alternative splicing are as conserved
    as the surrounding sequences. Thus, alternative splicing often creates novel isoforms
    by the insertion of new, functional protein sequences that probably originated
    from noncoding sequences of introns.
acknowledgement: We thank Peer Bork, Mikhail Gelfand, Alexey Kondrashov, David Lipman
  and Shamil Sunyaev for critical reading of the manuscript and useful suggestions
  and the Koonin group members for helpful discussions.
author:
- first_name: Fyodor
  full_name: Fyodor Kondrashov
  id: 44FDEF62-F248-11E8-B48F-1D18A9856A87
  last_name: Kondrashov
  orcid: 0000-0001-8243-4694
- first_name: Eugene
  full_name: Koonin, Eugene V
  last_name: Koonin
citation:
  ama: 'Kondrashov F, Koonin E. Evolution of alternative splicing: Deletions, insertions
    and origin of functional parts of proteins from intron sequences. <i>Trends in
    Genetics</i>. 2003;19(3):115-119. doi:<a href="https://doi.org/10.1016/S0168-9525(02)00029-X">10.1016/S0168-9525(02)00029-X</a>'
  apa: 'Kondrashov, F., &#38; Koonin, E. (2003). Evolution of alternative splicing:
    Deletions, insertions and origin of functional parts of proteins from intron sequences.
    <i>Trends in Genetics</i>. Elsevier. <a href="https://doi.org/10.1016/S0168-9525(02)00029-X">https://doi.org/10.1016/S0168-9525(02)00029-X</a>'
  chicago: 'Kondrashov, Fyodor, and Eugene Koonin. “Evolution of Alternative Splicing:
    Deletions, Insertions and Origin of Functional Parts of Proteins from Intron Sequences.”
    <i>Trends in Genetics</i>. Elsevier, 2003. <a href="https://doi.org/10.1016/S0168-9525(02)00029-X">https://doi.org/10.1016/S0168-9525(02)00029-X</a>.'
  ieee: 'F. Kondrashov and E. Koonin, “Evolution of alternative splicing: Deletions,
    insertions and origin of functional parts of proteins from intron sequences,”
    <i>Trends in Genetics</i>, vol. 19, no. 3. Elsevier, pp. 115–119, 2003.'
  ista: 'Kondrashov F, Koonin E. 2003. Evolution of alternative splicing: Deletions,
    insertions and origin of functional parts of proteins from intron sequences. Trends
    in Genetics. 19(3), 115–119.'
  mla: 'Kondrashov, Fyodor, and Eugene Koonin. “Evolution of Alternative Splicing:
    Deletions, Insertions and Origin of Functional Parts of Proteins from Intron Sequences.”
    <i>Trends in Genetics</i>, vol. 19, no. 3, Elsevier, 2003, pp. 115–19, doi:<a
    href="https://doi.org/10.1016/S0168-9525(02)00029-X">10.1016/S0168-9525(02)00029-X</a>.'
  short: F. Kondrashov, E. Koonin, Trends in Genetics 19 (2003) 115–119.
date_created: 2018-12-11T11:48:58Z
date_published: 2003-01-01T00:00:00Z
date_updated: 2021-01-12T08:20:58Z
day: '01'
doi: 10.1016/S0168-9525(02)00029-X
extern: 1
intvolume: '        19'
issue: '3'
month: '01'
page: 115 - 119
publication: Trends in Genetics
publication_status: published
publisher: Elsevier
publist_id: '6776'
quality_controlled: 0
status: public
title: 'Evolution of alternative splicing: Deletions, insertions and origin of functional
  parts of proteins from intron sequences'
type: journal_article
volume: 19
year: '2003'
...
---
_id: '166'
abstract:
- lang: eng
  text: For any number field k, upper bounds are established for the number of k-rational
    points of bounded height on non-singular del Pezzo surfaces defined over k, which
    are equipped with suitable conic bundle structures over k.
alternative_title:
- Bonner mathematische Schriften
arxiv: 1
author:
- first_name: Timothy D
  full_name: Browning, Timothy D
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
- first_name: M
  full_name: Swarbick Jones, M
  last_name: Swarbick Jones
citation:
  ama: Browning TD, Swarbick Jones M. Counting rational points on del Pezzo surfaces
    of degree 5. <i>Proceedings of the Bonn session in analytic number theory and
    diophantine equations</i>. 2003;360.
  apa: Browning, T. D., &#38; Swarbick Jones, M. (2003). Counting rational points
    on del Pezzo surfaces of degree 5. <i>Proceedings of the Bonn Session in Analytic
    Number Theory and Diophantine Equations</i>. Mathematisches Institut der Universität
    Bonn.
  chicago: Browning, Timothy D, and M Swarbick Jones. “Counting Rational Points on
    Del Pezzo Surfaces of Degree 5.” <i>Proceedings of the Bonn Session in Analytic
    Number Theory and Diophantine Equations</i>. Mathematisches Institut der Universität
    Bonn, 2003.
  ieee: T. D. Browning and M. Swarbick Jones, “Counting rational points on del Pezzo
    surfaces of degree 5,” <i>Proceedings of the Bonn session in analytic number theory
    and diophantine equations</i>, vol. 360. Mathematisches Institut der Universität
    Bonn, 2003.
  ista: Browning TD, Swarbick Jones M. 2003. Counting rational points on del Pezzo
    surfaces of degree 5. Proceedings of the Bonn session in analytic number theory
    and diophantine equations. 360.
  mla: Browning, Timothy D., and M. Swarbick Jones. “Counting Rational Points on Del
    Pezzo Surfaces of Degree 5.” <i>Proceedings of the Bonn Session in Analytic Number
    Theory and Diophantine Equations</i>, vol. 360, Mathematisches Institut der Universität
    Bonn, 2003.
  short: T.D. Browning, M. Swarbick Jones, Proceedings of the Bonn Session in Analytic
    Number Theory and Diophantine Equations 360 (2003).
date_created: 2018-12-11T11:44:58Z
date_published: 2003-01-01T00:00:00Z
date_updated: 2021-01-12T06:52:20Z
day: '01'
extern: '1'
external_id:
  arxiv:
  - '1311.1665'
intvolume: '       360'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/1311.1665
month: '01'
oa: 1
oa_version: None
publication: Proceedings of the Bonn session in analytic number theory and diophantine
  equations
publication_status: published
publisher: Mathematisches Institut der Universität Bonn
publist_id: '7755'
status: public
title: Counting rational points on del Pezzo surfaces of degree 5
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 360
year: '2003'
...
---
_id: '1959'
abstract:
- lang: eng
  text: 'The molecular organization of bacterial NADH: ubiquinone oxidoreductase (complex
    I or NDH-1) is not established, apart from a rough separation into dehydrogenase,
    connecting and membrane domains. In this work, complex I was purified from Escherichia
    coli and fragmented by replacing dodecylmaltoside with other detergents. Exchange
    into decyl maltoside led to the removal of the hydrophobic subunit NuoL from the
    otherwise intact complex. Diheptanoyl phosphocholine led to the loss of NuoL and
    NuoM subunits, whereas other subunits remained in the complex. The presence of
    N,N-dimethyldodecylamine N-oxide or Triton X-100 led to further disruption of
    the membrane domain into fragments containing NuoL/M/N, NuoA/K/N, and NuoH/J subunits.
    Among the hydrophilic subunits, NuoCD was most readily dissociated from the complex,
    whereas NuoB was partially dissociated from the peripheral arm assembly in N,N-dimethyldodecylamine
    N-oxide. A model of subunit arrangement in bacterial complex I based on these
    data is proposed. Subunits NuoL and NuoM, which are homologous to antiporters
    and are implicated in proton pumping, are located at the distal end of the membrane
    arm, spatially separated from the redox centers of the peripheral arm. This is
    consistent with proposals that the mechanism of proton pumping by complex I is
    likely to involve long range conformational changes.'
acknowledgement: his work was supported by the Medical Research Council.
author:
- first_name: Peter
  full_name: Holt, Peter J
  last_name: Holt
- first_name: David
  full_name: Morgan, David J
  last_name: Morgan
- first_name: Leonid A
  full_name: Leonid Sazanov
  id: 338D39FE-F248-11E8-B48F-1D18A9856A87
  last_name: Sazanov
  orcid: 0000-0002-0977-7989
citation:
  ama: 'Holt P, Morgan D, Sazanov LA. The location of NuoL and NuoM subunits in the
    membrane domain of the Escherichia coli Complex I: implications for the mechanism
    of proton pumping. <i>Journal of Biological Chemistry</i>. 2003;278(44):43114-43120.
    doi:<a href="https://doi.org/10.1074/jbc.M308247200">10.1074/jbc.M308247200</a>'
  apa: 'Holt, P., Morgan, D., &#38; Sazanov, L. A. (2003). The location of NuoL and
    NuoM subunits in the membrane domain of the Escherichia coli Complex I: implications
    for the mechanism of proton pumping. <i>Journal of Biological Chemistry</i>. American
    Society for Biochemistry and Molecular Biology. <a href="https://doi.org/10.1074/jbc.M308247200">https://doi.org/10.1074/jbc.M308247200</a>'
  chicago: 'Holt, Peter, David Morgan, and Leonid A Sazanov. “The Location of NuoL
    and NuoM Subunits in the Membrane Domain of the Escherichia Coli Complex I: Implications
    for the Mechanism of Proton Pumping.” <i>Journal of Biological Chemistry</i>.
    American Society for Biochemistry and Molecular Biology, 2003. <a href="https://doi.org/10.1074/jbc.M308247200">https://doi.org/10.1074/jbc.M308247200</a>.'
  ieee: 'P. Holt, D. Morgan, and L. A. Sazanov, “The location of NuoL and NuoM subunits
    in the membrane domain of the Escherichia coli Complex I: implications for the
    mechanism of proton pumping,” <i>Journal of Biological Chemistry</i>, vol. 278,
    no. 44. American Society for Biochemistry and Molecular Biology, pp. 43114–43120,
    2003.'
  ista: 'Holt P, Morgan D, Sazanov LA. 2003. The location of NuoL and NuoM subunits
    in the membrane domain of the Escherichia coli Complex I: implications for the
    mechanism of proton pumping. Journal of Biological Chemistry. 278(44), 43114–43120.'
  mla: 'Holt, Peter, et al. “The Location of NuoL and NuoM Subunits in the Membrane
    Domain of the Escherichia Coli Complex I: Implications for the Mechanism of Proton
    Pumping.” <i>Journal of Biological Chemistry</i>, vol. 278, no. 44, American Society
    for Biochemistry and Molecular Biology, 2003, pp. 43114–20, doi:<a href="https://doi.org/10.1074/jbc.M308247200">10.1074/jbc.M308247200</a>.'
  short: P. Holt, D. Morgan, L.A. Sazanov, Journal of Biological Chemistry 278 (2003)
    43114–43120.
date_created: 2018-12-11T11:54:55Z
date_published: 2003-10-31T00:00:00Z
date_updated: 2021-01-12T06:54:21Z
day: '31'
doi: 10.1074/jbc.M308247200
extern: 1
intvolume: '       278'
issue: '44'
month: '10'
page: 43114 - 43120
publication: Journal of Biological Chemistry
publication_status: published
publisher: American Society for Biochemistry and Molecular Biology
publist_id: '5124'
quality_controlled: 0
status: public
title: 'The location of NuoL and NuoM subunits in the membrane domain of the Escherichia
  coli Complex I: implications for the mechanism of proton pumping'
type: journal_article
volume: 278
year: '2003'
...
---
_id: '1960'
abstract:
- lang: eng
  text: NADH-ubiquinone oxidoreductase (complex I or NDH-1) was purified from the
    BL21 strain of Escherichia coli using an improved procedure. The complex was effectively
    stabilized by addition of divalent cations and lipids, making the preparation
    suitable for structural studies. The ubiquinone reductase activity of the enzyme
    was fully restored by addition of native E. coli lipids. Two different two-dimensional
    crystal forms, with p2 and p3 symmetry, were obtained using lipids containing
    native E. coli extracts. Analysis of the crystals showed that they are formed
    by fully intact complex I in an L-shaped conformation. Activity assays and single
    particle analysis indicated that complex I maintains this structure in detergent
    solution and does not adopt a different conformation in the active state. Thus,
    we provide the first experimental evidence that complex I from E. coli has an
    L-shape in a lipid bilayer and confirm that this is also the case for the active
    enzyme in solution. This suggests strongly that bacterial complex I exists in
    an L-shaped conformation in vivo. Our results also indicate that native lipids
    play an important role in the activation, stabilization and, as a consequence,
    crystallization of purified complex I from E. coli.
author:
- first_name: Leonid A
  full_name: Leonid Sazanov
  id: 338D39FE-F248-11E8-B48F-1D18A9856A87
  last_name: Sazanov
  orcid: 0000-0002-0977-7989
- first_name: Joe
  full_name: Carroll, Joe D
  last_name: Carroll
- first_name: Peter
  full_name: Holt, Peter J
  last_name: Holt
- first_name: Laurence
  full_name: Toime, Laurence J
  last_name: Toime
- first_name: Ian
  full_name: Fearnley, Ian M
  last_name: Fearnley
citation:
  ama: Sazanov LA, Carroll J, Holt P, Toime L, Fearnley I. A role for native lipids
    in the stabilization and two dimensional crystallization of the Escherichia coli
    NADH ubiquinone oxidoreductase (complex I). <i>Journal of Biological Chemistry</i>.
    2003;278(21):19483-19491. doi:<a href="https://doi.org/10.1074/jbc.M208959200">10.1074/jbc.M208959200</a>
  apa: Sazanov, L. A., Carroll, J., Holt, P., Toime, L., &#38; Fearnley, I. (2003).
    A role for native lipids in the stabilization and two dimensional crystallization
    of the Escherichia coli NADH ubiquinone oxidoreductase (complex I). <i>Journal
    of Biological Chemistry</i>. American Society for Biochemistry and Molecular Biology.
    <a href="https://doi.org/10.1074/jbc.M208959200">https://doi.org/10.1074/jbc.M208959200</a>
  chicago: Sazanov, Leonid A, Joe Carroll, Peter Holt, Laurence Toime, and Ian Fearnley.
    “A Role for Native Lipids in the Stabilization and Two Dimensional Crystallization
    of the Escherichia Coli NADH Ubiquinone Oxidoreductase (Complex I).” <i>Journal
    of Biological Chemistry</i>. American Society for Biochemistry and Molecular Biology,
    2003. <a href="https://doi.org/10.1074/jbc.M208959200">https://doi.org/10.1074/jbc.M208959200</a>.
  ieee: L. A. Sazanov, J. Carroll, P. Holt, L. Toime, and I. Fearnley, “A role for
    native lipids in the stabilization and two dimensional crystallization of the
    Escherichia coli NADH ubiquinone oxidoreductase (complex I),” <i>Journal of Biological
    Chemistry</i>, vol. 278, no. 21. American Society for Biochemistry and Molecular
    Biology, pp. 19483–19491, 2003.
  ista: Sazanov LA, Carroll J, Holt P, Toime L, Fearnley I. 2003. A role for native
    lipids in the stabilization and two dimensional crystallization of the Escherichia
    coli NADH ubiquinone oxidoreductase (complex I). Journal of Biological Chemistry.
    278(21), 19483–19491.
  mla: Sazanov, Leonid A., et al. “A Role for Native Lipids in the Stabilization and
    Two Dimensional Crystallization of the Escherichia Coli NADH Ubiquinone Oxidoreductase
    (Complex I).” <i>Journal of Biological Chemistry</i>, vol. 278, no. 21, American
    Society for Biochemistry and Molecular Biology, 2003, pp. 19483–91, doi:<a href="https://doi.org/10.1074/jbc.M208959200">10.1074/jbc.M208959200</a>.
  short: L.A. Sazanov, J. Carroll, P. Holt, L. Toime, I. Fearnley, Journal of Biological
    Chemistry 278 (2003) 19483–19491.
date_created: 2018-12-11T11:54:55Z
date_published: 2003-05-23T00:00:00Z
date_updated: 2021-01-12T06:54:21Z
day: '23'
doi: 10.1074/jbc.M208959200
extern: 1
intvolume: '       278'
issue: '21'
month: '05'
page: 19483 - 19491
publication: Journal of Biological Chemistry
publication_status: published
publisher: American Society for Biochemistry and Molecular Biology
publist_id: '5125'
quality_controlled: 0
status: public
title: A role for native lipids in the stabilization and two dimensional crystallization
  of the Escherichia coli NADH ubiquinone oxidoreductase (complex I)
type: journal_article
volume: 278
year: '2003'
...
---
_id: '205'
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. Counting rational points on cubic and quartic surfaces. <i>Acta
    Arithmetica</i>. 2003;108(3):275-295. doi:<a href="https://doi.org/10.4064/aa108-3-7">10.4064/aa108-3-7</a>
  apa: Browning, T. D. (2003). Counting rational points on cubic and quartic surfaces.
    <i>Acta Arithmetica</i>. Instytut Matematyczny. <a href="https://doi.org/10.4064/aa108-3-7">https://doi.org/10.4064/aa108-3-7</a>
  chicago: Browning, Timothy D. “Counting Rational Points on Cubic and Quartic Surfaces.”
    <i>Acta Arithmetica</i>. Instytut Matematyczny, 2003. <a href="https://doi.org/10.4064/aa108-3-7">https://doi.org/10.4064/aa108-3-7</a>.
  ieee: T. D. Browning, “Counting rational points on cubic and quartic surfaces,”
    <i>Acta Arithmetica</i>, vol. 108, no. 3. Instytut Matematyczny, pp. 275–295,
    2003.
  ista: Browning TD. 2003. Counting rational points on cubic and quartic surfaces.
    Acta Arithmetica. 108(3), 275–295.
  mla: Browning, Timothy D. “Counting Rational Points on Cubic and Quartic Surfaces.”
    <i>Acta Arithmetica</i>, vol. 108, no. 3, Instytut Matematyczny, 2003, pp. 275–95,
    doi:<a href="https://doi.org/10.4064/aa108-3-7">10.4064/aa108-3-7</a>.
  short: T.D. Browning, Acta Arithmetica 108 (2003) 275–295.
date_created: 2018-12-11T11:45:12Z
date_published: 2003-01-01T00:00:00Z
date_updated: 2021-01-12T06:54:58Z
day: '01'
doi: 10.4064/aa108-3-7
extern: 1
intvolume: '       108'
issue: '3'
month: '01'
page: 275 - 295
publication: Acta Arithmetica
publication_status: published
publisher: Instytut Matematyczny
publist_id: '7707'
quality_controlled: 0
status: public
title: Counting rational points on cubic and quartic surfaces
type: journal_article
volume: 108
year: '2003'
...
---
_id: '206'
abstract:
- lang: eng
  text: Let T ⊂ ℙ 4 be a non-singular threefold of degree at least four. Then we show
    that the number of points in T(ℚ), with height at most B, is o(B 3) or B → ∞.
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. A note on the distribution of rational points on threefolds. <i>Quarterly
    Journal of Mathematics</i>. 2003;54(1):33-39. doi:<a href="https://doi.org/10.1093/qjmath/54.1.33">10.1093/qjmath/54.1.33</a>
  apa: Browning, T. D. (2003). A note on the distribution of rational points on threefolds.
    <i>Quarterly Journal of Mathematics</i>. Unknown. <a href="https://doi.org/10.1093/qjmath/54.1.33">https://doi.org/10.1093/qjmath/54.1.33</a>
  chicago: Browning, Timothy D. “A Note on the Distribution of Rational Points on
    Threefolds.” <i>Quarterly Journal of Mathematics</i>. Unknown, 2003. <a href="https://doi.org/10.1093/qjmath/54.1.33">https://doi.org/10.1093/qjmath/54.1.33</a>.
  ieee: T. D. Browning, “A note on the distribution of rational points on threefolds,”
    <i>Quarterly Journal of Mathematics</i>, vol. 54, no. 1. Unknown, pp. 33–39, 2003.
  ista: Browning TD. 2003. A note on the distribution of rational points on threefolds.
    Quarterly Journal of Mathematics. 54(1), 33–39.
  mla: Browning, Timothy D. “A Note on the Distribution of Rational Points on Threefolds.”
    <i>Quarterly Journal of Mathematics</i>, vol. 54, no. 1, Unknown, 2003, pp. 33–39,
    doi:<a href="https://doi.org/10.1093/qjmath/54.1.33">10.1093/qjmath/54.1.33</a>.
  short: T.D. Browning, Quarterly Journal of Mathematics 54 (2003) 33–39.
date_created: 2018-12-11T11:45:12Z
date_published: 2003-03-01T00:00:00Z
date_updated: 2021-01-12T06:55:02Z
day: '01'
doi: 10.1093/qjmath/54.1.33
extern: 1
intvolume: '        54'
issue: '1'
month: '03'
page: 33 - 39
publication: Quarterly Journal of Mathematics
publication_status: published
publisher: Unknown
publist_id: '7706'
quality_controlled: 0
status: public
title: A note on the distribution of rational points on threefolds
type: journal_article
volume: 54
year: '2003'
...
---
_id: '207'
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. Sums of four biquadrates. <i>Mathematical Proceedings of the Cambridge
    Philosophical Society</i>. 2003;134(3):385-395. doi:<a href="https://doi.org/10.1017/S0305004102006382">10.1017/S0305004102006382</a>
  apa: Browning, T. D. (2003). Sums of four biquadrates. <i>Mathematical Proceedings
    of the Cambridge Philosophical Society</i>. Cambridge University Press. <a href="https://doi.org/10.1017/S0305004102006382">https://doi.org/10.1017/S0305004102006382</a>
  chicago: Browning, Timothy D. “Sums of Four Biquadrates.” <i>Mathematical Proceedings
    of the Cambridge Philosophical Society</i>. Cambridge University Press, 2003.
    <a href="https://doi.org/10.1017/S0305004102006382">https://doi.org/10.1017/S0305004102006382</a>.
  ieee: T. D. Browning, “Sums of four biquadrates,” <i>Mathematical Proceedings of
    the Cambridge Philosophical Society</i>, vol. 134, no. 3. Cambridge University
    Press, pp. 385–395, 2003.
  ista: Browning TD. 2003. Sums of four biquadrates. Mathematical Proceedings of the
    Cambridge Philosophical Society. 134(3), 385–395.
  mla: Browning, Timothy D. “Sums of Four Biquadrates.” <i>Mathematical Proceedings
    of the Cambridge Philosophical Society</i>, vol. 134, no. 3, Cambridge University
    Press, 2003, pp. 385–95, doi:<a href="https://doi.org/10.1017/S0305004102006382">10.1017/S0305004102006382</a>.
  short: T.D. Browning, Mathematical Proceedings of the Cambridge Philosophical Society
    134 (2003) 385–395.
date_created: 2018-12-11T11:45:12Z
date_published: 2003-05-01T00:00:00Z
date_updated: 2021-01-12T06:55:07Z
day: '01'
doi: 10.1017/S0305004102006382
extern: '1'
intvolume: '       134'
issue: '3'
language:
- iso: eng
month: '05'
oa_version: None
page: 385 - 395
publication: Mathematical Proceedings of the Cambridge Philosophical Society
publication_status: published
publisher: Cambridge University Press
publist_id: '7704'
quality_controlled: '1'
status: public
title: Sums of four biquadrates
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 134
year: '2003'
...
---
_id: '208'
abstract:
- lang: eng
  text: For any ε &gt; 0 and any diagonal quadratic form Q ∈ ℤ[x 1, x 2, x 3, x 4]
    with a square-free discriminant of modulus Δ Q ≠ 0, we establish the uniform estimate
    ≪ε B 3/2+ε + B 2+ε/Δ Q 1/6 for the number of rational points of height at most
    B lying in the projective surface Q = 0.
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. Counting rational points on diagonal quadratic surfaces. <i>Quarterly
    Journal of Mathematics</i>. 2003;54(1):11-31. doi:<a href="https://doi.org/10.1093/qjmath/54.1.11">10.1093/qjmath/54.1.11</a>
  apa: Browning, T. D. (2003). Counting rational points on diagonal quadratic surfaces.
    <i>Quarterly Journal of Mathematics</i>. Oxford University Press. <a href="https://doi.org/10.1093/qjmath/54.1.11">https://doi.org/10.1093/qjmath/54.1.11</a>
  chicago: Browning, Timothy D. “Counting Rational Points on Diagonal Quadratic Surfaces.”
    <i>Quarterly Journal of Mathematics</i>. Oxford University Press, 2003. <a href="https://doi.org/10.1093/qjmath/54.1.11">https://doi.org/10.1093/qjmath/54.1.11</a>.
  ieee: T. D. Browning, “Counting rational points on diagonal quadratic surfaces,”
    <i>Quarterly Journal of Mathematics</i>, vol. 54, no. 1. Oxford University Press,
    pp. 11–31, 2003.
  ista: Browning TD. 2003. Counting rational points on diagonal quadratic surfaces.
    Quarterly Journal of Mathematics. 54(1), 11–31.
  mla: Browning, Timothy D. “Counting Rational Points on Diagonal Quadratic Surfaces.”
    <i>Quarterly Journal of Mathematics</i>, vol. 54, no. 1, Oxford University Press,
    2003, pp. 11–31, doi:<a href="https://doi.org/10.1093/qjmath/54.1.11">10.1093/qjmath/54.1.11</a>.
  short: T.D. Browning, Quarterly Journal of Mathematics 54 (2003) 11–31.
date_created: 2018-12-11T11:45:13Z
date_published: 2003-03-01T00:00:00Z
date_updated: 2021-01-12T06:55:10Z
day: '01'
doi: 10.1093/qjmath/54.1.11
extern: 1
intvolume: '        54'
issue: '1'
month: '03'
page: 11 - 31
publication: Quarterly Journal of Mathematics
publication_status: published
publisher: Oxford University Press
publist_id: '7705'
quality_controlled: 0
status: public
title: Counting rational points on diagonal quadratic surfaces
type: journal_article
volume: 54
year: '2003'
...
---
_id: '2337'
alternative_title:
- Contemporary Mathematics
author:
- first_name: Élliott
  full_name: Lieb, Élliott H
  last_name: Lieb
- first_name: Robert
  full_name: Robert Seiringer
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: 'Lieb É, Seiringer R. Bose-Einstein condensation of dilute gases in traps .
    In: Karpeshina Y, Weikard R, Zeng Y, eds. Vol 327. American Mathematical Society;
    2003:239-250. doi:<a href="https://doi.org/10.1090/conm/327/05818">10.1090/conm/327/05818</a>'
  apa: Lieb, É., &#38; Seiringer, R. (2003). Bose-Einstein condensation of dilute
    gases in traps . In Y. Karpeshina, R. Weikard, &#38; Y. Zeng (Eds.) (Vol. 327,
    pp. 239–250). Presented at the Differential Equations and Mathematical Physics,
    American Mathematical Society. <a href="https://doi.org/10.1090/conm/327/05818">https://doi.org/10.1090/conm/327/05818</a>
  chicago: Lieb, Élliott, and Robert Seiringer. “Bose-Einstein Condensation of Dilute
    Gases in Traps .” edited by Yulia Karpeshina, Rudi Weikard, and Yanni Zeng, 327:239–50.
    American Mathematical Society, 2003. <a href="https://doi.org/10.1090/conm/327/05818">https://doi.org/10.1090/conm/327/05818</a>.
  ieee: É. Lieb and R. Seiringer, “Bose-Einstein condensation of dilute gases in traps
    ,” presented at the Differential Equations and Mathematical Physics, 2003, vol.
    327, pp. 239–250.
  ista: Lieb É, Seiringer R. 2003. Bose-Einstein condensation of dilute gases in traps
    . Differential Equations and Mathematical Physics, Contemporary Mathematics, vol.
    327, 239–250.
  mla: Lieb, Élliott, and Robert Seiringer. <i>Bose-Einstein Condensation of Dilute
    Gases in Traps </i>. Edited by Yulia Karpeshina et al., vol. 327, American Mathematical
    Society, 2003, pp. 239–50, doi:<a href="https://doi.org/10.1090/conm/327/05818">10.1090/conm/327/05818</a>.
  short: É. Lieb, R. Seiringer, in:, Y. Karpeshina, R. Weikard, Y. Zeng (Eds.), American
    Mathematical Society, 2003, pp. 239–250.
conference:
  name: Differential Equations and Mathematical Physics
date_created: 2018-12-11T11:57:04Z
date_published: 2003-01-01T00:00:00Z
date_updated: 2021-01-12T06:56:52Z
day: '01'
doi: 10.1090/conm/327/05818
editor:
- first_name: Yulia
  full_name: Karpeshina, Yulia
  last_name: Karpeshina
- first_name: Rudi
  full_name: Weikard, Rudi
  last_name: Weikard
- first_name: Yanni
  full_name: Zeng, Yanni
  last_name: Zeng
extern: 1
intvolume: '       327'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/math-ph/0210028
month: '01'
oa: 1
page: 239 - 250
publication_status: published
publisher: American Mathematical Society
publist_id: '4589'
quality_controlled: 0
status: public
title: 'Bose-Einstein condensation of dilute gases in traps '
type: conference
volume: 327
year: '2003'
...
---
_id: '2354'
abstract:
- lang: eng
  text: We investigate the ground state properties of a gas of interacting particles
    confined in an external potential in three dimensions and subject to rotation
    around an axis of symmetry. We consider the Gross-Pitaevskii (GP) limit of a dilute
    gas. Analysing both the absolute and the bosonic ground states of the system,
    we show, in particular, their different behaviour for a certain range of parameters.
    This parameter range is determined by the question whether the rotational symmetry
    in the minimizer of the GP functional is broken or not. For the absolute ground
    state, we prove that in the GP limit a modified GP functional depending on density
    matrices correctly describes the energy and reduced density matrices, independent
    of symmetry breaking. For the bosonic ground state this holds true if and only
    if the symmetry is unbroken.
author:
- first_name: Robert
  full_name: Robert Seiringer
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: 'Seiringer R. Ground state asymptotics of a dilute, rotating gas. <i>Journal
    of Physics A: Mathematical and Theoretical</i>. 2003;36(37):9755-9778. doi:<a
    href="https://doi.org/10.1088/0305-4470/36/37/312">10.1088/0305-4470/36/37/312</a>'
  apa: 'Seiringer, R. (2003). Ground state asymptotics of a dilute, rotating gas.
    <i>Journal of Physics A: Mathematical and Theoretical</i>. IOP Publishing Ltd.
    <a href="https://doi.org/10.1088/0305-4470/36/37/312">https://doi.org/10.1088/0305-4470/36/37/312</a>'
  chicago: 'Seiringer, Robert. “Ground State Asymptotics of a Dilute, Rotating Gas.”
    <i>Journal of Physics A: Mathematical and Theoretical</i>. IOP Publishing Ltd.,
    2003. <a href="https://doi.org/10.1088/0305-4470/36/37/312">https://doi.org/10.1088/0305-4470/36/37/312</a>.'
  ieee: 'R. Seiringer, “Ground state asymptotics of a dilute, rotating gas,” <i>Journal
    of Physics A: Mathematical and Theoretical</i>, vol. 36, no. 37. IOP Publishing
    Ltd., pp. 9755–9778, 2003.'
  ista: 'Seiringer R. 2003. Ground state asymptotics of a dilute, rotating gas. Journal
    of Physics A: Mathematical and Theoretical. 36(37), 9755–9778.'
  mla: 'Seiringer, Robert. “Ground State Asymptotics of a Dilute, Rotating Gas.” <i>Journal
    of Physics A: Mathematical and Theoretical</i>, vol. 36, no. 37, IOP Publishing
    Ltd., 2003, pp. 9755–78, doi:<a href="https://doi.org/10.1088/0305-4470/36/37/312">10.1088/0305-4470/36/37/312</a>.'
  short: 'R. Seiringer, Journal of Physics A: Mathematical and Theoretical 36 (2003)
    9755–9778.'
date_created: 2018-12-11T11:57:10Z
date_published: 2003-09-19T00:00:00Z
date_updated: 2021-01-12T06:56:59Z
day: '19'
doi: 10.1088/0305-4470/36/37/312
extern: 1
intvolume: '        36'
issue: '37'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/math-ph/0306022
month: '09'
oa: 1
page: 9755 - 9778
publication: 'Journal of Physics A: Mathematical and Theoretical'
publication_status: published
publisher: IOP Publishing Ltd.
publist_id: '4572'
quality_controlled: 0
status: public
title: Ground state asymptotics of a dilute, rotating gas
type: journal_article
volume: 36
year: '2003'
...
---
_id: '2357'
abstract:
- lang: eng
  text: 'The classic Poincaré inequality bounds the L q-norm of a function f in a
    bounded domain Ω ⊂ ℝ n in terms of some L p-norm of its gradient in Ω. We generalize
    this in two ways: In the first generalization we remove a set Τ from Ω and concentrate
    our attention on Λ = Ω \ Τ. This new domain might not even be connected and hence
    no Poincaré inequality can generally hold for it, or if it does hold it might
    have a very bad constant. This is so even if the volume of Τ is arbitrarily small.
    A Poincaré inequality does hold, however, if one makes the additional assumption
    that f has a finite L p gradient norm on the whole of Ω, not just on Λ. The important
    point is that the Poincaré inequality thus obtained bounds the L q-norm of f in
    terms of the L p gradient norm on Λ (not Ω) plus an additional term that goes
    to zero as the volume of Τ goes to zero. This error term depends on Τ only through
    its volume. Apart from this additive error term, the constant in the inequality
    remains that of the ''nice'' domain Ω. In the second generalization we are given
    a vector field A and replace ∇ by ∇ + iA(x) (geometrically, a connection on a
    U(1) bundle). Unlike the A = 0 case, the infimum of ∥(∇ + iA)f∥ p over all f with
    a given ∥f∥ q is in general not zero. This permits an improvement of the inequality
    by the addition of a term whose sharp value we derive. We describe some open problems
    that arise from these generalizations.'
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. Poincaré inequalities in punctured domains.
    <i>Annals of Mathematics</i>. 2003;158(3):1067-1080. doi:<a href="https://doi.org/10.4007/annals.2003.158.1067
    ">10.4007/annals.2003.158.1067 </a>
  apa: Lieb, É., Seiringer, R., &#38; Yngvason, J. (2003). Poincaré inequalities in
    punctured domains. <i>Annals of Mathematics</i>. Princeton University Press. <a
    href="https://doi.org/10.4007/annals.2003.158.1067 ">https://doi.org/10.4007/annals.2003.158.1067
    </a>
  chicago: Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Poincaré Inequalities
    in Punctured Domains.” <i>Annals of Mathematics</i>. Princeton University Press,
    2003. <a href="https://doi.org/10.4007/annals.2003.158.1067 ">https://doi.org/10.4007/annals.2003.158.1067
    </a>.
  ieee: É. Lieb, R. Seiringer, and J. Yngvason, “Poincaré inequalities in punctured
    domains,” <i>Annals of Mathematics</i>, vol. 158, no. 3. Princeton University
    Press, pp. 1067–1080, 2003.
  ista: Lieb É, Seiringer R, Yngvason J. 2003. Poincaré inequalities in punctured
    domains. Annals of Mathematics. 158(3), 1067–1080.
  mla: Lieb, Élliott, et al. “Poincaré Inequalities in Punctured Domains.” <i>Annals
    of Mathematics</i>, vol. 158, no. 3, Princeton University Press, 2003, pp. 1067–80,
    doi:<a href="https://doi.org/10.4007/annals.2003.158.1067 ">10.4007/annals.2003.158.1067
    </a>.
  short: É. Lieb, R. Seiringer, J. Yngvason, Annals of Mathematics 158 (2003) 1067–1080.
date_created: 2018-12-11T11:57:11Z
date_published: 2003-11-01T00:00:00Z
date_updated: 2021-01-12T06:57:00Z
day: '01'
doi: '10.4007/annals.2003.158.1067 '
extern: 1
intvolume: '       158'
issue: '3'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/math/0205088
month: '11'
oa: 1
page: 1067 - 1080
publication: Annals of Mathematics
publication_status: published
publisher: Princeton University Press
publist_id: '4570'
quality_controlled: 0
status: public
title: Poincaré inequalities in punctured domains
type: journal_article
volume: 158
year: '2003'
...
---
_id: '2358'
abstract:
- lang: eng
  text: A study was conducted on the one-dimensional (1D) bosons in three-dimensional
    (3D) traps. A rigorous analysis was carried out on the parameter regions in which
    various types of 1D or 3D behavior occurred in the ground state. The four parameter
    regions include density, transverse, longitudinal dimensions and scattering length.
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. One-dimensional Bosons in three-dimensional
    traps. <i>Physical Review Letters</i>. 2003;91(15):1504011-1504014. doi:<a href="https://doi.org/10.1103/PhysRevLett.91.150401">10.1103/PhysRevLett.91.150401</a>
  apa: Lieb, É., Seiringer, R., &#38; Yngvason, J. (2003). One-dimensional Bosons
    in three-dimensional traps. <i>Physical Review Letters</i>. American Physical
    Society. <a href="https://doi.org/10.1103/PhysRevLett.91.150401">https://doi.org/10.1103/PhysRevLett.91.150401</a>
  chicago: Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “One-Dimensional Bosons
    in Three-Dimensional Traps.” <i>Physical Review Letters</i>. American Physical
    Society, 2003. <a href="https://doi.org/10.1103/PhysRevLett.91.150401">https://doi.org/10.1103/PhysRevLett.91.150401</a>.
  ieee: É. Lieb, R. Seiringer, and J. Yngvason, “One-dimensional Bosons in three-dimensional
    traps,” <i>Physical Review Letters</i>, vol. 91, no. 15. American Physical Society,
    pp. 1504011–1504014, 2003.
  ista: Lieb É, Seiringer R, Yngvason J. 2003. One-dimensional Bosons in three-dimensional
    traps. Physical Review Letters. 91(15), 1504011–1504014.
  mla: Lieb, Élliott, et al. “One-Dimensional Bosons in Three-Dimensional Traps.”
    <i>Physical Review Letters</i>, vol. 91, no. 15, American Physical Society, 2003,
    pp. 1504011–14, doi:<a href="https://doi.org/10.1103/PhysRevLett.91.150401">10.1103/PhysRevLett.91.150401</a>.
  short: É. Lieb, R. Seiringer, J. Yngvason, Physical Review Letters 91 (2003) 1504011–1504014.
date_created: 2018-12-11T11:57:12Z
date_published: 2003-10-10T00:00:00Z
date_updated: 2021-01-12T06:57:00Z
day: '10'
doi: 10.1103/PhysRevLett.91.150401
extern: 1
intvolume: '        91'
issue: '15'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/cond-mat/0304071
month: '10'
oa: 1
page: 1504011 - 1504014
publication: Physical Review Letters
publication_status: published
publisher: American Physical Society
publist_id: '4571'
quality_controlled: 0
status: public
title: One-dimensional Bosons in three-dimensional traps
type: journal_article
volume: 91
year: '2003'
...
---
_id: '2414'
author:
- first_name: Uli
  full_name: Uli Wagner
  id: 36690CA2-F248-11E8-B48F-1D18A9856A87
  last_name: Wagner
  orcid: 0000-0002-1494-0568
citation:
  ama: Wagner U. On k-Sets and Their Applications. 2003. doi:<a href="https://doi.org/10.3929/ethz-a-004708408">10.3929/ethz-a-004708408</a>
  apa: Wagner, U. (2003). <i>On k-Sets and Their Applications</i>. ETH Zurich. <a
    href="https://doi.org/10.3929/ethz-a-004708408">https://doi.org/10.3929/ethz-a-004708408</a>
  chicago: Wagner, Uli. “On K-Sets and Their Applications.” ETH Zurich, 2003. <a href="https://doi.org/10.3929/ethz-a-004708408">https://doi.org/10.3929/ethz-a-004708408</a>.
  ieee: U. Wagner, “On k-Sets and Their Applications,” ETH Zurich, 2003.
  ista: Wagner U. 2003. On k-Sets and Their Applications. ETH Zurich.
  mla: Wagner, Uli. <i>On K-Sets and Their Applications</i>. ETH Zurich, 2003, doi:<a
    href="https://doi.org/10.3929/ethz-a-004708408">10.3929/ethz-a-004708408</a>.
  short: U. Wagner, On K-Sets and Their Applications, ETH Zurich, 2003.
date_created: 2018-12-11T11:57:31Z
date_published: 2003-01-01T00:00:00Z
date_updated: 2021-01-12T06:57:20Z
day: '01'
doi: 10.3929/ethz-a-004708408
extern: 1
month: '01'
publication_status: published
publisher: ETH Zurich
publist_id: '4511'
quality_controlled: 0
status: public
title: On k-Sets and Their Applications
type: dissertation
year: '2003'
...
---
_id: '2422'
abstract:
- lang: eng
  text: We prove a lower bound of 0.3288(4 n) for the rectilinear crossing number
    cr̄(Kn) of a complete graph on n vertices, or in other words, for the minimum
    number of convex quadrilaterals in any set of n points in general position in
    the Euclidean plane. As we see it, the main contribution of this paper is not
    so much the concrete numerical improvement over earlier bounds, as the novel method
    of proof, which is not based on bounding cr̄(Kn) for some small n.
author:
- first_name: Uli
  full_name: Uli Wagner
  id: 36690CA2-F248-11E8-B48F-1D18A9856A87
  last_name: Wagner
  orcid: 0000-0002-1494-0568
citation:
  ama: 'Wagner U. On the rectilinear crossing number of complete graphs. In: SIAM;
    2003:583-588.'
  apa: 'Wagner, U. (2003). On the rectilinear crossing number of complete graphs (pp.
    583–588). Presented at the SODA: Symposium on Discrete Algorithms, SIAM.'
  chicago: Wagner, Uli. “On the Rectilinear Crossing Number of Complete Graphs,” 583–88.
    SIAM, 2003.
  ieee: 'U. Wagner, “On the rectilinear crossing number of complete graphs,” presented
    at the SODA: Symposium on Discrete Algorithms, 2003, pp. 583–588.'
  ista: 'Wagner U. 2003. On the rectilinear crossing number of complete graphs. SODA:
    Symposium on Discrete Algorithms, 583–588.'
  mla: Wagner, Uli. <i>On the Rectilinear Crossing Number of Complete Graphs</i>.
    SIAM, 2003, pp. 583–88.
  short: U. Wagner, in:, SIAM, 2003, pp. 583–588.
conference:
  name: 'SODA: Symposium on Discrete Algorithms'
date_created: 2018-12-11T11:57:34Z
date_published: 2003-01-01T00:00:00Z
date_updated: 2021-01-12T06:57:24Z
day: '01'
extern: 1
main_file_link:
- open_access: '0'
  url: http://dl.acm.org/citation.cfm?id=644206
month: '01'
page: 583 - 588
publication_status: published
publisher: SIAM
publist_id: '4503'
quality_controlled: 0
status: public
title: On the rectilinear crossing number of complete graphs
type: conference
year: '2003'
...
