---
_id: '11112'
abstract:
- lang: eng
  text: The nuclear envelope is a double-layered membrane that encloses the nuclear
    genome and transcriptional machinery. In dividing cells of metazoa, the nucleus
    completely disassembles during mitosis, creating the need to re-establish the
    nuclear compartment at the end of each cell division. Given the crucial role of
    the nuclear envelope in gene regulation and cellular organization, it is not surprising
    that its biogenesis and organization have become active research areas. We will
    review recent insights into nuclear membrane dynamics during the cell cycle.
article_processing_charge: No
article_type: original
author:
- first_name: Daniel J
  full_name: Anderson, Daniel J
  last_name: Anderson
- 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: Anderson DJ, Hetzer M. The life cycle of the metazoan nuclear envelope. <i>Current
    Opinion in Cell Biology</i>. 2008;20(4):386-392. doi:<a href="https://doi.org/10.1016/j.ceb.2008.03.016">10.1016/j.ceb.2008.03.016</a>
  apa: Anderson, D. J., &#38; Hetzer, M. (2008). The life cycle of the metazoan nuclear
    envelope. <i>Current Opinion in Cell Biology</i>. Elsevier. <a href="https://doi.org/10.1016/j.ceb.2008.03.016">https://doi.org/10.1016/j.ceb.2008.03.016</a>
  chicago: Anderson, Daniel J, and Martin Hetzer. “The Life Cycle of the Metazoan
    Nuclear Envelope.” <i>Current Opinion in Cell Biology</i>. Elsevier, 2008. <a
    href="https://doi.org/10.1016/j.ceb.2008.03.016">https://doi.org/10.1016/j.ceb.2008.03.016</a>.
  ieee: D. J. Anderson and M. Hetzer, “The life cycle of the metazoan nuclear envelope,”
    <i>Current Opinion in Cell Biology</i>, vol. 20, no. 4. Elsevier, pp. 386–392,
    2008.
  ista: Anderson DJ, Hetzer M. 2008. The life cycle of the metazoan nuclear envelope.
    Current Opinion in Cell Biology. 20(4), 386–392.
  mla: Anderson, Daniel J., and Martin Hetzer. “The Life Cycle of the Metazoan Nuclear
    Envelope.” <i>Current Opinion in Cell Biology</i>, vol. 20, no. 4, Elsevier, 2008,
    pp. 386–92, doi:<a href="https://doi.org/10.1016/j.ceb.2008.03.016">10.1016/j.ceb.2008.03.016</a>.
  short: D.J. Anderson, M. Hetzer, Current Opinion in Cell Biology 20 (2008) 386–392.
date_created: 2022-04-07T07:55:34Z
date_published: 2008-08-01T00:00:00Z
date_updated: 2024-10-14T11:29:38Z
day: '01'
doi: 10.1016/j.ceb.2008.03.016
extern: '1'
external_id:
  pmid:
  - '18495454'
intvolume: '        20'
issue: '4'
keyword:
- Cell Biology
language:
- iso: eng
month: '08'
oa_version: None
page: 386-392
pmid: 1
publication: Current Opinion in Cell Biology
publication_identifier:
  issn:
  - 0955-0674
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: The life cycle of the metazoan nuclear envelope
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 20
year: '2008'
...
---
_id: '11113'
abstract:
- lang: eng
  text: The nuclear envelope (NE), a double membrane enclosing the nucleus of eukaryotic
    cells, controls the flow of information between the nucleoplasm and the cytoplasm
    and provides a scaffold for the organization of chromatin and the cytoskeleton.
    In dividing metazoan cells, the NE breaks down at the onset of mitosis and then
    reforms around segregated chromosomes to generate the daughter nuclei. Recent
    data from intact cells and cell-free nuclear assembly systems suggest that the
    endoplasmic reticulum (ER) is the source of membrane for NE assembly. At the end
    of mitosis, ER membrane tubules are targeted to chromatin via tubule ends and
    reorganized into flat nuclear membrane sheets by specific DNA-binding membrane
    proteins. In contrast to previous models, which proposed vesicle fusion to be
    the principal mechanism of NE formation, these new studies suggest that the nuclear
    membrane forms by the chromatin-mediated reshaping of the ER.
article_processing_charge: No
article_type: letter_note
author:
- first_name: Daniel J.
  full_name: Anderson, Daniel J.
  last_name: Anderson
- 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: Anderson DJ, Hetzer M. Shaping the endoplasmic reticulum into the nuclear envelope.
    <i>Journal of Cell Science</i>. 2008;121(2):137-142. doi:<a href="https://doi.org/10.1242/jcs.005777">10.1242/jcs.005777</a>
  apa: Anderson, D. J., &#38; Hetzer, M. (2008). Shaping the endoplasmic reticulum
    into the nuclear envelope. <i>Journal of Cell Science</i>. The Company of Biologists.
    <a href="https://doi.org/10.1242/jcs.005777">https://doi.org/10.1242/jcs.005777</a>
  chicago: Anderson, Daniel J., and Martin Hetzer. “Shaping the Endoplasmic Reticulum
    into the Nuclear Envelope.” <i>Journal of Cell Science</i>. The Company of Biologists,
    2008. <a href="https://doi.org/10.1242/jcs.005777">https://doi.org/10.1242/jcs.005777</a>.
  ieee: D. J. Anderson and M. Hetzer, “Shaping the endoplasmic reticulum into the
    nuclear envelope,” <i>Journal of Cell Science</i>, vol. 121, no. 2. The Company
    of Biologists, pp. 137–142, 2008.
  ista: Anderson DJ, Hetzer M. 2008. Shaping the endoplasmic reticulum into the nuclear
    envelope. Journal of Cell Science. 121(2), 137–142.
  mla: Anderson, Daniel J., and Martin Hetzer. “Shaping the Endoplasmic Reticulum
    into the Nuclear Envelope.” <i>Journal of Cell Science</i>, vol. 121, no. 2, The
    Company of Biologists, 2008, pp. 137–42, doi:<a href="https://doi.org/10.1242/jcs.005777">10.1242/jcs.005777</a>.
  short: D.J. Anderson, M. Hetzer, Journal of Cell Science 121 (2008) 137–142.
date_created: 2022-04-07T07:55:46Z
date_published: 2008-01-15T00:00:00Z
date_updated: 2024-10-14T11:29:47Z
day: '15'
doi: 10.1242/jcs.005777
extern: '1'
external_id:
  pmid:
  - '18187447'
intvolume: '       121'
issue: '2'
keyword:
- Cell Biology
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1242/jcs.005777
month: '01'
oa: 1
oa_version: Published Version
page: 137-142
pmid: 1
publication: Journal of Cell Science
publication_identifier:
  eissn:
  - 1477-9137
  issn:
  - 0021-9533
publication_status: published
publisher: The Company of Biologists
quality_controlled: '1'
scopus_import: '1'
status: public
title: Shaping the endoplasmic reticulum into the nuclear envelope
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 121
year: '2008'
...
---
_id: '11114'
abstract:
- lang: eng
  text: We present a miniaturized pull-down method for the detection of protein-protein
    interactions using standard affinity chromatography reagents. Binding events between
    different proteins, which are color-coded with quantum dots (QDs), are visualized
    on single affinity chromatography beads by fluorescence microscopy. The use of
    QDs for single molecule detection allows the simultaneous analysis of multiple
    protein-protein binding events and reduces the amount of time and material needed
    to perform a pull-down experiment.
article_number: e2061
article_processing_charge: No
article_type: original
author:
- first_name: Roberta
  full_name: Schulte, Roberta
  last_name: Schulte
- first_name: Jessica
  full_name: Talamas, Jessica
  last_name: Talamas
- first_name: Christine
  full_name: Doucet, Christine
  last_name: Doucet
- 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: Schulte R, Talamas J, Doucet C, Hetzer M. Single bead affinity detection (SINBAD)
    for the analysis of protein-protein interactions. <i>PLoS ONE</i>. 2008;3(4).
    doi:<a href="https://doi.org/10.1371/journal.pone.0002061">10.1371/journal.pone.0002061</a>
  apa: Schulte, R., Talamas, J., Doucet, C., &#38; Hetzer, M. (2008). Single bead
    affinity detection (SINBAD) for the analysis of protein-protein interactions.
    <i>PLoS ONE</i>. Public Library of Science. <a href="https://doi.org/10.1371/journal.pone.0002061">https://doi.org/10.1371/journal.pone.0002061</a>
  chicago: Schulte, Roberta, Jessica Talamas, Christine Doucet, and Martin Hetzer.
    “Single Bead Affinity Detection (SINBAD) for the Analysis of Protein-Protein Interactions.”
    <i>PLoS ONE</i>. Public Library of Science, 2008. <a href="https://doi.org/10.1371/journal.pone.0002061">https://doi.org/10.1371/journal.pone.0002061</a>.
  ieee: R. Schulte, J. Talamas, C. Doucet, and M. Hetzer, “Single bead affinity detection
    (SINBAD) for the analysis of protein-protein interactions,” <i>PLoS ONE</i>, vol.
    3, no. 4. Public Library of Science, 2008.
  ista: Schulte R, Talamas J, Doucet C, Hetzer M. 2008. Single bead affinity detection
    (SINBAD) for the analysis of protein-protein interactions. PLoS ONE. 3(4), e2061.
  mla: Schulte, Roberta, et al. “Single Bead Affinity Detection (SINBAD) for the Analysis
    of Protein-Protein Interactions.” <i>PLoS ONE</i>, vol. 3, no. 4, e2061, Public
    Library of Science, 2008, doi:<a href="https://doi.org/10.1371/journal.pone.0002061">10.1371/journal.pone.0002061</a>.
  short: R. Schulte, J. Talamas, C. Doucet, M. Hetzer, PLoS ONE 3 (2008).
date_created: 2022-04-07T07:55:57Z
date_published: 2008-04-30T00:00:00Z
date_updated: 2024-10-14T11:29:56Z
day: '30'
doi: 10.1371/journal.pone.0002061
extern: '1'
external_id:
  pmid:
  - '18446240'
intvolume: '         3'
issue: '4'
keyword:
- Multidisciplinary
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: ' https://doi.org/10.1371/journal.pone.0002061'
month: '04'
oa: 1
oa_version: Published Version
pmid: 1
publication: PLoS ONE
publication_identifier:
  issn:
  - 1932-6203
publication_status: published
publisher: Public Library of Science
quality_controlled: '1'
scopus_import: '1'
status: public
title: Single bead affinity detection (SINBAD) for the analysis of protein-protein
  interactions
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 3
year: '2008'
...
---
_id: '11878'
abstract:
- lang: eng
  text: "Given only the URL of a web page, can we identify its language? This is the
    question that we examine in this paper.\r\nSuch a language classifier is, for
    example, useful for crawlers of web search engines, which frequently try to satisfy
    certain language quotas. To determine the language of uncrawled web pages, they
    have to download the page, which might be wasteful, if the page is not in the
    desired language. With URL-based language classifiers these redundant downloads
    can be avoided.\r\n\r\nWe apply a variety of machine learning algorithms to the
    language identification task and evaluate their performance in extensive experiments
    for five languages: English, French, German, Spanish and Italian. Our best methods
    achieve an F-measure, averaged over all languages, of around .90 for both a random
    sample of 1,260 web page from a large web crawl and for 25k pages from the ODP
    directory. For 5k pages of web search engine results we even achieve an F-measure
    of .96. The achieved recall for these collections is .93, .88 and .95 respectively.
    Two independent human evaluators performed considerably worse on the task, with
    an F-measure of .75 and a typical recall of a mere .67. Using only country-code
    top-level domains, such as .de or .fr yields a good precision, but a typical recall
    of below .60 and an F-measure of around .68."
article_processing_charge: No
article_type: original
author:
- first_name: Eda
  full_name: Baykan, Eda
  last_name: Baykan
- 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: Ingmar
  full_name: Weber, Ingmar
  last_name: Weber
citation:
  ama: Baykan E, Henzinger M, Weber I. Web page language identification based on URLs.
    <i>Proceedings of the VLDB Endowment</i>. 2008;1(1):176-187. doi:<a href="https://doi.org/10.14778/1453856.1453880">10.14778/1453856.1453880</a>
  apa: Baykan, E., Henzinger, M., &#38; Weber, I. (2008). Web page language identification
    based on URLs. <i>Proceedings of the VLDB Endowment</i>. Association for Computing
    Machinery. <a href="https://doi.org/10.14778/1453856.1453880">https://doi.org/10.14778/1453856.1453880</a>
  chicago: Baykan, Eda, Monika Henzinger, and Ingmar Weber. “Web Page Language Identification
    Based on URLs.” <i>Proceedings of the VLDB Endowment</i>. Association for Computing
    Machinery, 2008. <a href="https://doi.org/10.14778/1453856.1453880">https://doi.org/10.14778/1453856.1453880</a>.
  ieee: E. Baykan, M. Henzinger, and I. Weber, “Web page language identification based
    on URLs,” <i>Proceedings of the VLDB Endowment</i>, vol. 1, no. 1. Association
    for Computing Machinery, pp. 176–187, 2008.
  ista: Baykan E, Henzinger M, Weber I. 2008. Web page language identification based
    on URLs. Proceedings of the VLDB Endowment. 1(1), 176–187.
  mla: Baykan, Eda, et al. “Web Page Language Identification Based on URLs.” <i>Proceedings
    of the VLDB Endowment</i>, vol. 1, no. 1, Association for Computing Machinery,
    2008, pp. 176–87, doi:<a href="https://doi.org/10.14778/1453856.1453880">10.14778/1453856.1453880</a>.
  short: E. Baykan, M. Henzinger, I. Weber, Proceedings of the VLDB Endowment 1 (2008)
    176–187.
date_created: 2022-08-16T13:10:11Z
date_published: 2008-08-01T00:00:00Z
date_updated: 2024-11-06T12:21:34Z
day: '01'
doi: 10.14778/1453856.1453880
extern: '1'
intvolume: '         1'
issue: '1'
language:
- iso: eng
month: '08'
oa_version: None
page: 176-187
publication: Proceedings of the VLDB Endowment
publication_identifier:
  issn:
  - 2150-8097
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
scopus_import: '1'
status: public
title: Web page language identification based on URLs
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 1
year: '2008'
...
---
_id: '224'
abstract:
- lang: eng
  text: Let n ≥ 4 and let Q ∈ [X1, ..., Xn] be a non-singular quadratic form. When
    Q is indefinite we provide new upper bounds for the least non-trivial integral
    solution to the equation Q = 0, and when Q is positive definite we provide improved
    upper bounds for the greatest positive integer k for which the equation Q = k
    is insoluble in integers, despite being soluble modulo every prime power.
author:
- first_name: Timothy D
  full_name: Timothy Browning
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
- first_name: Rainer
  full_name: Dietmann, Rainer
  last_name: Dietmann
citation:
  ama: Browning TD, Dietmann R. On the representation of integers by quadratic forms.
    <i>Proceedings of the London Mathematical Society</i>. 2008;96(2):389-416. doi:<a
    href="https://doi.org/10.1112/plms/pdm032">10.1112/plms/pdm032</a>
  apa: Browning, T. D., &#38; Dietmann, R. (2008). On the representation of integers
    by quadratic forms. <i>Proceedings of the London Mathematical Society</i>. John
    Wiley and Sons Ltd. <a href="https://doi.org/10.1112/plms/pdm032">https://doi.org/10.1112/plms/pdm032</a>
  chicago: Browning, Timothy D, and Rainer Dietmann. “On the Representation of Integers
    by Quadratic Forms.” <i>Proceedings of the London Mathematical Society</i>. John
    Wiley and Sons Ltd, 2008. <a href="https://doi.org/10.1112/plms/pdm032">https://doi.org/10.1112/plms/pdm032</a>.
  ieee: T. D. Browning and R. Dietmann, “On the representation of integers by quadratic
    forms,” <i>Proceedings of the London Mathematical Society</i>, vol. 96, no. 2.
    John Wiley and Sons Ltd, pp. 389–416, 2008.
  ista: Browning TD, Dietmann R. 2008. On the representation of integers by quadratic
    forms. Proceedings of the London Mathematical Society. 96(2), 389–416.
  mla: Browning, Timothy D., and Rainer Dietmann. “On the Representation of Integers
    by Quadratic Forms.” <i>Proceedings of the London Mathematical Society</i>, vol.
    96, no. 2, John Wiley and Sons Ltd, 2008, pp. 389–416, doi:<a href="https://doi.org/10.1112/plms/pdm032">10.1112/plms/pdm032</a>.
  short: T.D. Browning, R. Dietmann, Proceedings of the London Mathematical Society
    96 (2008) 389–416.
date_created: 2018-12-11T11:45:18Z
date_published: 2008-03-01T00:00:00Z
date_updated: 2021-01-12T06:56:13Z
day: '01'
doi: 10.1112/plms/pdm032
extern: 1
intvolume: '        96'
issue: '2'
month: '03'
page: 389 - 416
publication: Proceedings of the London Mathematical Society
publication_status: published
publisher: John Wiley and Sons Ltd
publist_id: '7688'
quality_controlled: 0
status: public
title: On the representation of integers by quadratic forms
type: journal_article
volume: 96
year: '2008'
...
---
_id: '225'
abstract:
- lang: eng
  text: We revisit recent work of Heath-Brown on the average order of the quantity
    r(L1(x))⋯r(L4(x)), for suitable binary linear forms L1,...,L4, as x=(x1,x2) ranges
    over quite general regions in ℤ2. In addition to improving the error term in Heath-Browns
    estimate, we generalise his result to cover a wider class of linear forms.
acknowledgement: "EP/E053262/1\tEngineering and Physical Sciences Research Council"
author:
- first_name: Régis
  full_name: de la Bretèche, Régis
  last_name: De La Bretèche
- first_name: Timothy D
  full_name: Timothy Browning
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
citation:
  ama: De La Bretèche R, Browning TD. Binary linear forms as sums of two squares.
    <i>Compositio Mathematica</i>. 2008;144(6):1375-1402. doi:<a href="https://doi.org/10.1112/S0010437X08003692">10.1112/S0010437X08003692</a>
  apa: De La Bretèche, R., &#38; Browning, T. D. (2008). Binary linear forms as sums
    of two squares. <i>Compositio Mathematica</i>. Cambridge University Press. <a
    href="https://doi.org/10.1112/S0010437X08003692">https://doi.org/10.1112/S0010437X08003692</a>
  chicago: De La Bretèche, Régis, and Timothy D Browning. “Binary Linear Forms as
    Sums of Two Squares.” <i>Compositio Mathematica</i>. Cambridge University Press,
    2008. <a href="https://doi.org/10.1112/S0010437X08003692">https://doi.org/10.1112/S0010437X08003692</a>.
  ieee: R. De La Bretèche and T. D. Browning, “Binary linear forms as sums of two
    squares,” <i>Compositio Mathematica</i>, vol. 144, no. 6. Cambridge University
    Press, pp. 1375–1402, 2008.
  ista: De La Bretèche R, Browning TD. 2008. Binary linear forms as sums of two squares.
    Compositio Mathematica. 144(6), 1375–1402.
  mla: De La Bretèche, Régis, and Timothy D. Browning. “Binary Linear Forms as Sums
    of Two Squares.” <i>Compositio Mathematica</i>, vol. 144, no. 6, Cambridge University
    Press, 2008, pp. 1375–402, doi:<a href="https://doi.org/10.1112/S0010437X08003692">10.1112/S0010437X08003692</a>.
  short: R. De La Bretèche, T.D. Browning, Compositio Mathematica 144 (2008) 1375–1402.
date_created: 2018-12-11T11:45:18Z
date_published: 2008-11-01T00:00:00Z
date_updated: 2021-01-12T06:56:17Z
day: '01'
doi: 10.1112/S0010437X08003692
extern: 1
intvolume: '       144'
issue: '6'
month: '11'
page: 1375 - 1402
publication: Compositio Mathematica
publication_status: published
publisher: Cambridge University Press
publist_id: '7687'
quality_controlled: 0
status: public
title: Binary linear forms as sums of two squares
type: journal_article
volume: 144
year: '2008'
...
---
_id: '2331'
abstract:
- lang: eng
  text: We present a review of recent work on the mathematical aspects of the BCS
    gap equation, covering our results of Ref. 9 as well our recent joint work with
    Hamza and Solovej and with Frank and Naboko, respectively. In addition, we mention
    some related new results.
author:
- first_name: Christian
  full_name: Hainzl, Christian
  last_name: Hainzl
- first_name: Robert
  full_name: Robert Seiringer
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: 'Hainzl C, Seiringer R.  Spectral properties of the BCS gap equation of superfluidity.
    In: World Scientific Publishing; 2008:117-136. doi:<a href="https://doi.org/10.1142/9789812832382_0009">10.1142/9789812832382_0009</a>'
  apa: 'Hainzl, C., &#38; Seiringer, R. (2008).  Spectral properties of the BCS gap
    equation of superfluidity (pp. 117–136). Presented at the QMath: Mathematical
    Results in Quantum Physics, World Scientific Publishing. <a href="https://doi.org/10.1142/9789812832382_0009">https://doi.org/10.1142/9789812832382_0009</a>'
  chicago: Hainzl, Christian, and Robert Seiringer. “ Spectral Properties of the BCS
    Gap Equation of Superfluidity,” 117–36. World Scientific Publishing, 2008. <a
    href="https://doi.org/10.1142/9789812832382_0009">https://doi.org/10.1142/9789812832382_0009</a>.
  ieee: 'C. Hainzl and R. Seiringer, “ Spectral properties of the BCS gap equation
    of superfluidity,” presented at the QMath: Mathematical Results in Quantum Physics,
    2008, pp. 117–136.'
  ista: 'Hainzl C, Seiringer R. 2008.  Spectral properties of the BCS gap equation
    of superfluidity. QMath: Mathematical Results in Quantum Physics, 117–136.'
  mla: Hainzl, Christian, and Robert Seiringer. <i> Spectral Properties of the BCS
    Gap Equation of Superfluidity</i>. World Scientific Publishing, 2008, pp. 117–36,
    doi:<a href="https://doi.org/10.1142/9789812832382_0009">10.1142/9789812832382_0009</a>.
  short: C. Hainzl, R. Seiringer, in:, World Scientific Publishing, 2008, pp. 117–136.
conference:
  name: 'QMath: Mathematical Results in Quantum Physics'
date_created: 2018-12-11T11:57:02Z
date_published: 2008-08-01T00:00:00Z
date_updated: 2021-01-12T06:56:50Z
day: '01'
doi: 10.1142/9789812832382_0009
extern: 1
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/0802.0446
month: '08'
oa: 1
page: 117 - 136
publication_status: published
publisher: World Scientific Publishing
publist_id: '4595'
quality_controlled: 0
status: public
title: ' Spectral properties of the BCS gap equation of superfluidity'
type: conference
year: '2008'
...
---
_id: '2332'
abstract:
- lang: eng
  text: We present a rigorous proof of the appearance of quantized vortices in dilute
    trapped Bose gases with repulsive two-body interactions subject to rotation, which
    was obtained recently in joint work with Elliott Lieb.14 Starting from the many-body
    Schrödinger equation, we show that the ground state of such gases is, in a suitable
    limit, well described by the nonlinear Gross-Pitaevskii equation. In the case
    of axially symmetric traps, our results show that the appearance of quantized
    vortices causes spontaneous symmetry breaking in the ground state.
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. Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases.
    In: World Scientific Publishing; 2008:241-254. doi:<a href="https://doi.org/10.1142/9789812832382_0017">10.1142/9789812832382_0017</a>'
  apa: 'Seiringer, R. (2008). Vortices and Spontaneous Symmetry Breaking in Rotating
    Bose Gases (pp. 241–254). Presented at the QMath: Mathematical Results in Quantum
    Physics, World Scientific Publishing. <a href="https://doi.org/10.1142/9789812832382_0017">https://doi.org/10.1142/9789812832382_0017</a>'
  chicago: Seiringer, Robert. “Vortices and Spontaneous Symmetry Breaking in Rotating
    Bose Gases,” 241–54. World Scientific Publishing, 2008. <a href="https://doi.org/10.1142/9789812832382_0017">https://doi.org/10.1142/9789812832382_0017</a>.
  ieee: 'R. Seiringer, “Vortices and Spontaneous Symmetry Breaking in Rotating Bose
    Gases,” presented at the QMath: Mathematical Results in Quantum Physics, 2008,
    pp. 241–254.'
  ista: 'Seiringer R. 2008. Vortices and Spontaneous Symmetry Breaking in Rotating
    Bose Gases. QMath: Mathematical Results in Quantum Physics, 241–254.'
  mla: Seiringer, Robert. <i>Vortices and Spontaneous Symmetry Breaking in Rotating
    Bose Gases</i>. World Scientific Publishing, 2008, pp. 241–54, doi:<a href="https://doi.org/10.1142/9789812832382_0017">10.1142/9789812832382_0017</a>.
  short: R. Seiringer, in:, World Scientific Publishing, 2008, pp. 241–254.
conference:
  name: 'QMath: Mathematical Results in Quantum Physics'
date_created: 2018-12-11T11:57:02Z
date_published: 2008-12-30T00:00:00Z
date_updated: 2021-01-12T06:56:50Z
day: '30'
doi: 10.1142/9789812832382_0017
extern: 1
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/0801.0427
month: '12'
oa: 1
page: 241 - 254
publication_status: published
publisher: World Scientific Publishing
publist_id: '4594'
quality_controlled: 0
status: public
title: Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases
type: conference
year: '2008'
...
---
_id: '2374'
abstract:
- lang: eng
  text: A lower bound is derived on the free energy (per unit volume) of a homogeneous
    Bose gas at density Q and temperature T. In the dilute regime, i.e., when a3 1,
    where a denotes the scattering length of the pair-interaction potential, our bound
    differs to leading order from the expression for non-interacting particles by
    the term 4πa(2 2}-[ - c]2+). Here, c(T) denotes the critical density for Bose-Einstein
    condensation (for the non-interacting gas), and [ · ]+ = max{ ·, 0} denotes the
    positive part. Our bound is uniform in the temperature up to temperatures of the
    order of the critical temperature, i.e., T ~ 2/3 or smaller. One of the key ingredients
    in the proof is the use of coherent states to extend the method introduced in
    [17] for estimating correlations to temperatures below the critical one.
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. Free energy of a dilute Bose gas: Lower bound. <i>Communications
    in Mathematical Physics</i>. 2008;279(3):595-636. doi:<a href="https://doi.org/10.1007/s00220-008-0428-2">10.1007/s00220-008-0428-2</a>'
  apa: 'Seiringer, R. (2008). Free energy of a dilute Bose gas: Lower bound. <i>Communications
    in Mathematical Physics</i>. Springer. <a href="https://doi.org/10.1007/s00220-008-0428-2">https://doi.org/10.1007/s00220-008-0428-2</a>'
  chicago: 'Seiringer, Robert. “Free Energy of a Dilute Bose Gas: Lower Bound.” <i>Communications
    in Mathematical Physics</i>. Springer, 2008. <a href="https://doi.org/10.1007/s00220-008-0428-2">https://doi.org/10.1007/s00220-008-0428-2</a>.'
  ieee: 'R. Seiringer, “Free energy of a dilute Bose gas: Lower bound,” <i>Communications
    in Mathematical Physics</i>, vol. 279, no. 3. Springer, pp. 595–636, 2008.'
  ista: 'Seiringer R. 2008. Free energy of a dilute Bose gas: Lower bound. Communications
    in Mathematical Physics. 279(3), 595–636.'
  mla: 'Seiringer, Robert. “Free Energy of a Dilute Bose Gas: Lower Bound.” <i>Communications
    in Mathematical Physics</i>, vol. 279, no. 3, Springer, 2008, pp. 595–636, doi:<a
    href="https://doi.org/10.1007/s00220-008-0428-2">10.1007/s00220-008-0428-2</a>.'
  short: R. Seiringer, Communications in Mathematical Physics 279 (2008) 595–636.
date_created: 2018-12-11T11:57:17Z
date_published: 2008-05-01T00:00:00Z
date_updated: 2021-01-12T06:57:06Z
day: '01'
doi: 10.1007/s00220-008-0428-2
extern: 1
intvolume: '       279'
issue: '3'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/math-ph/0608069
month: '05'
oa: 1
page: 595 - 636
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4551'
quality_controlled: 0
status: public
title: 'Free energy of a dilute Bose gas: Lower bound'
type: journal_article
volume: 279
year: '2008'
...
---
_id: '2376'
abstract:
- lang: eng
  text: We derive upper and lower bounds on the critical temperature Tc and the energy
    gap Ξ (at zero temperature) for the BCS gap equation, describing spin- 1 2 fermions
    interacting via a local two-body interaction potential λV(x). At weak coupling
    λ 1 and under appropriate assumptions on V(x), our bounds show that Tc ∼A exp(-B/λ)
    and Ξ∼C exp(-B/λ) for some explicit coefficients A, B, and C depending on the
    interaction V(x) and the chemical potential μ. The ratio A/C turns out to be a
    universal constant, independent of both V(x) and μ. Our analysis is valid for
    any μ; for small μ, or low density, our formulas reduce to well-known expressions
    involving the scattering length of V(x).
author:
- first_name: Christian
  full_name: Hainzl, Christian
  last_name: Hainzl
- first_name: Robert
  full_name: Robert Seiringer
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Hainzl C, Seiringer R. Critical temperature and energy gap for the BCS equation.
    <i>Physical Review B - Condensed Matter and Materials Physics</i>. 2008;77(18).
    doi:<a href="https://doi.org/10.1103/PhysRevB.77.184517">10.1103/PhysRevB.77.184517</a>
  apa: Hainzl, C., &#38; Seiringer, R. (2008). Critical temperature and energy gap
    for the BCS equation. <i>Physical Review B - Condensed Matter and Materials Physics</i>.
    American Physical Society. <a href="https://doi.org/10.1103/PhysRevB.77.184517">https://doi.org/10.1103/PhysRevB.77.184517</a>
  chicago: Hainzl, Christian, and Robert Seiringer. “Critical Temperature and Energy
    Gap for the BCS Equation.” <i>Physical Review B - Condensed Matter and Materials
    Physics</i>. American Physical Society, 2008. <a href="https://doi.org/10.1103/PhysRevB.77.184517">https://doi.org/10.1103/PhysRevB.77.184517</a>.
  ieee: C. Hainzl and R. Seiringer, “Critical temperature and energy gap for the BCS
    equation,” <i>Physical Review B - Condensed Matter and Materials Physics</i>,
    vol. 77, no. 18. American Physical Society, 2008.
  ista: Hainzl C, Seiringer R. 2008. Critical temperature and energy gap for the BCS
    equation. Physical Review B - Condensed Matter and Materials Physics. 77(18).
  mla: Hainzl, Christian, and Robert Seiringer. “Critical Temperature and Energy Gap
    for the BCS Equation.” <i>Physical Review B - Condensed Matter and Materials Physics</i>,
    vol. 77, no. 18, American Physical Society, 2008, doi:<a href="https://doi.org/10.1103/PhysRevB.77.184517">10.1103/PhysRevB.77.184517</a>.
  short: C. Hainzl, R. Seiringer, Physical Review B - Condensed Matter and Materials
    Physics 77 (2008).
date_created: 2018-12-11T11:57:18Z
date_published: 2008-05-28T00:00:00Z
date_updated: 2021-01-12T06:57:06Z
day: '28'
doi: 10.1103/PhysRevB.77.184517
extern: 1
intvolume: '        77'
issue: '18'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/0801.4159
month: '05'
oa: 1
publication: Physical Review B - Condensed Matter and Materials Physics
publication_status: published
publisher: American Physical Society
publist_id: '4550'
quality_controlled: 0
status: public
title: Critical temperature and energy gap for the BCS equation
type: journal_article
volume: 77
year: '2008'
...
---
_id: '2377'
abstract:
- lang: eng
  text: We prove that the critical temperature for the BCS gap equation is given by
    T c = μ ( 8\π e γ-2+ o(1)) e π/(2μa) in the low density limit μ→ 0, with γ denoting
    Euler's constant. The formula holds for a suitable class of interaction potentials
    with negative scattering length a in the absence of bound states.
author:
- first_name: Christian
  full_name: Hainzl, Christian
  last_name: Hainzl
- first_name: Robert
  full_name: Robert Seiringer
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Hainzl C, Seiringer R. The BCS critical temperature for potentials with negative
    scattering length. <i>Letters in Mathematical Physics</i>. 2008;84(2-3):99-107.
    doi:<a href="https://doi.org/10.1007/s11005-008-0242-y">10.1007/s11005-008-0242-y</a>
  apa: Hainzl, C., &#38; Seiringer, R. (2008). The BCS critical temperature for potentials
    with negative scattering length. <i>Letters in Mathematical Physics</i>. Springer.
    <a href="https://doi.org/10.1007/s11005-008-0242-y">https://doi.org/10.1007/s11005-008-0242-y</a>
  chicago: Hainzl, Christian, and Robert Seiringer. “The BCS Critical Temperature
    for Potentials with Negative Scattering Length.” <i>Letters in Mathematical Physics</i>.
    Springer, 2008. <a href="https://doi.org/10.1007/s11005-008-0242-y">https://doi.org/10.1007/s11005-008-0242-y</a>.
  ieee: C. Hainzl and R. Seiringer, “The BCS critical temperature for potentials with
    negative scattering length,” <i>Letters in Mathematical Physics</i>, vol. 84,
    no. 2–3. Springer, pp. 99–107, 2008.
  ista: Hainzl C, Seiringer R. 2008. The BCS critical temperature for potentials with
    negative scattering length. Letters in Mathematical Physics. 84(2–3), 99–107.
  mla: Hainzl, Christian, and Robert Seiringer. “The BCS Critical Temperature for
    Potentials with Negative Scattering Length.” <i>Letters in Mathematical Physics</i>,
    vol. 84, no. 2–3, Springer, 2008, pp. 99–107, doi:<a href="https://doi.org/10.1007/s11005-008-0242-y">10.1007/s11005-008-0242-y</a>.
  short: C. Hainzl, R. Seiringer, Letters in Mathematical Physics 84 (2008) 99–107.
date_created: 2018-12-11T11:57:19Z
date_published: 2008-06-01T00:00:00Z
date_updated: 2021-01-12T06:57:07Z
day: '01'
doi: 10.1007/s11005-008-0242-y
extern: 1
intvolume: '        84'
issue: 2-3
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/0803.3324
month: '06'
oa: 1
page: 99 - 107
publication: Letters in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4548'
quality_controlled: 0
status: public
title: The BCS critical temperature for potentials with negative scattering length
type: journal_article
volume: 84
year: '2008'
...
---
_id: '2378'
abstract:
- lang: eng
  text: We derive a lower bound on the ground state energy of the Hubbard model for
    given value of the total spin. In combination with the upper bound derived previously
    by Giuliani (J. Math. Phys. 48:023302, [2007]), our result proves that in the
    low density limit the leading order correction compared to the ground state energy
    of a non-interacting lattice Fermi gas is given by 8πaσ uσ d , where σ u(d) denotes
    the density of the spin-up (down) particles, and a is the scattering length of
    the contact interaction potential. This result extends previous work on the corresponding
    continuum model to the lattice case.
author:
- first_name: Robert
  full_name: Robert Seiringer
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
- first_name: Jun
  full_name: Yin, Jun
  last_name: Yin
citation:
  ama: Seiringer R, Yin J. Ground state energy of the low density hubbard model. <i>Journal
    of Statistical Physics</i>. 2008;131(6):1139-1154. doi:<a href="https://doi.org/10.1007/s10955-008-9527-x">10.1007/s10955-008-9527-x</a>
  apa: Seiringer, R., &#38; Yin, J. (2008). Ground state energy of the low density
    hubbard model. <i>Journal of Statistical Physics</i>. Springer. <a href="https://doi.org/10.1007/s10955-008-9527-x">https://doi.org/10.1007/s10955-008-9527-x</a>
  chicago: Seiringer, Robert, and Jun Yin. “Ground State Energy of the Low Density
    Hubbard Model.” <i>Journal of Statistical Physics</i>. Springer, 2008. <a href="https://doi.org/10.1007/s10955-008-9527-x">https://doi.org/10.1007/s10955-008-9527-x</a>.
  ieee: R. Seiringer and J. Yin, “Ground state energy of the low density hubbard model,”
    <i>Journal of Statistical Physics</i>, vol. 131, no. 6. Springer, pp. 1139–1154,
    2008.
  ista: Seiringer R, Yin J. 2008. Ground state energy of the low density hubbard model.
    Journal of Statistical Physics. 131(6), 1139–1154.
  mla: Seiringer, Robert, and Jun Yin. “Ground State Energy of the Low Density Hubbard
    Model.” <i>Journal of Statistical Physics</i>, vol. 131, no. 6, Springer, 2008,
    pp. 1139–54, doi:<a href="https://doi.org/10.1007/s10955-008-9527-x">10.1007/s10955-008-9527-x</a>.
  short: R. Seiringer, J. Yin, Journal of Statistical Physics 131 (2008) 1139–1154.
date_created: 2018-12-11T11:57:19Z
date_published: 2008-06-01T00:00:00Z
date_updated: 2021-01-12T06:57:07Z
day: '01'
doi: 10.1007/s10955-008-9527-x
extern: 1
intvolume: '       131'
issue: '6'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/0712.2810
month: '06'
oa: 1
page: 1139 - 1154
publication: Journal of Statistical Physics
publication_status: published
publisher: Springer
publist_id: '4549'
quality_controlled: 0
status: public
title: Ground state energy of the low density hubbard model
type: journal_article
volume: 131
year: '2008'
...
---
_id: '2379'
author:
- first_name: Rupert
  full_name: Frank, Rupert L
  last_name: Frank
- first_name: Élliott
  full_name: Lieb, Élliott H
  last_name: Lieb
- first_name: Robert
  full_name: Robert Seiringer
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Frank R, Lieb É, Seiringer R. Hardy-Lieb-Thirring inequalities for fractional
    Schrödinger operators. <i>Journal of the American Mathematical Society</i>. 2008;21(4):925-950.
    doi:<a href="https://doi.org/10.1090/S0894-0347-07-00582-6">10.1090/S0894-0347-07-00582-6</a>
  apa: Frank, R., Lieb, É., &#38; Seiringer, R. (2008). Hardy-Lieb-Thirring inequalities
    for fractional Schrödinger operators. <i>Journal of the American Mathematical
    Society</i>. American Mathematical Society. <a href="https://doi.org/10.1090/S0894-0347-07-00582-6">https://doi.org/10.1090/S0894-0347-07-00582-6</a>
  chicago: Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Hardy-Lieb-Thirring
    Inequalities for Fractional Schrödinger Operators.” <i>Journal of the American
    Mathematical Society</i>. American Mathematical Society, 2008. <a href="https://doi.org/10.1090/S0894-0347-07-00582-6">https://doi.org/10.1090/S0894-0347-07-00582-6</a>.
  ieee: R. Frank, É. Lieb, and R. Seiringer, “Hardy-Lieb-Thirring inequalities for
    fractional Schrödinger operators,” <i>Journal of the American Mathematical Society</i>,
    vol. 21, no. 4. American Mathematical Society, pp. 925–950, 2008.
  ista: Frank R, Lieb É, Seiringer R. 2008. Hardy-Lieb-Thirring inequalities for fractional
    Schrödinger operators. Journal of the American Mathematical Society. 21(4), 925–950.
  mla: Frank, Rupert, et al. “Hardy-Lieb-Thirring Inequalities for Fractional Schrödinger
    Operators.” <i>Journal of the American Mathematical Society</i>, vol. 21, no.
    4, American Mathematical Society, 2008, pp. 925–50, doi:<a href="https://doi.org/10.1090/S0894-0347-07-00582-6">10.1090/S0894-0347-07-00582-6</a>.
  short: R. Frank, É. Lieb, R. Seiringer, Journal of the American Mathematical Society
    21 (2008) 925–950.
date_created: 2018-12-11T11:57:19Z
date_published: 2008-01-01T00:00:00Z
date_updated: 2021-01-12T06:57:07Z
day: '01'
doi: 10.1090/S0894-0347-07-00582-6
extern: 1
intvolume: '        21'
issue: '4'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/math/0610593
month: '01'
oa: 1
page: 925 - 950
publication: Journal of the American Mathematical Society
publication_status: published
publisher: American Mathematical Society
publist_id: '4546'
quality_controlled: 0
status: public
title: Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators
type: journal_article
volume: 21
year: '2008'
...
---
_id: '2380'
abstract:
- lang: eng
  text: The Bardeen-Cooper-Schrieffer (BCS) functional has recently received renewed
    attention as a description of fermionic gases interacting with local pairwise
    interactions. We present here a rigorous analysis of the BCS functional for general
    pair interaction potentials. For both zero and positive temperature, we show that
    the existence of a non-trivial solution of the nonlinear BCS gap equation is equivalent
    to the existence of a negative eigenvalue of a certain linear operator. From this
    we conclude the existence of a critical temperature below which the BCS pairing
    wave function does not vanish identically. For attractive potentials, we prove
    that the critical temperature is non-zero and exponentially small in the strength
    of the potential.
author:
- first_name: Christian
  full_name: Hainzl, Christian
  last_name: Hainzl
- first_name: Eman
  full_name: Hamza, Eman
  last_name: Hamza
- first_name: Robert
  full_name: Robert Seiringer
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
- first_name: Jan
  full_name: Solovej, Jan P
  last_name: Solovej
citation:
  ama: Hainzl C, Hamza E, Seiringer R, Solovej J. The BCS functional for general pair
    interactions. <i>Communications in Mathematical Physics</i>. 2008;281(2):349-367.
    doi:<a href="https://doi.org/10.1007/s00220-008-0489-2">10.1007/s00220-008-0489-2</a>
  apa: Hainzl, C., Hamza, E., Seiringer, R., &#38; Solovej, J. (2008). The BCS functional
    for general pair interactions. <i>Communications in Mathematical Physics</i>.
    Springer. <a href="https://doi.org/10.1007/s00220-008-0489-2">https://doi.org/10.1007/s00220-008-0489-2</a>
  chicago: Hainzl, Christian, Eman Hamza, Robert Seiringer, and Jan Solovej. “The
    BCS Functional for General Pair Interactions.” <i>Communications in Mathematical
    Physics</i>. Springer, 2008. <a href="https://doi.org/10.1007/s00220-008-0489-2">https://doi.org/10.1007/s00220-008-0489-2</a>.
  ieee: C. Hainzl, E. Hamza, R. Seiringer, and J. Solovej, “The BCS functional for
    general pair interactions,” <i>Communications in Mathematical Physics</i>, vol.
    281, no. 2. Springer, pp. 349–367, 2008.
  ista: Hainzl C, Hamza E, Seiringer R, Solovej J. 2008. The BCS functional for general
    pair interactions. Communications in Mathematical Physics. 281(2), 349–367.
  mla: Hainzl, Christian, et al. “The BCS Functional for General Pair Interactions.”
    <i>Communications in Mathematical Physics</i>, vol. 281, no. 2, Springer, 2008,
    pp. 349–67, doi:<a href="https://doi.org/10.1007/s00220-008-0489-2">10.1007/s00220-008-0489-2</a>.
  short: C. Hainzl, E. Hamza, R. Seiringer, J. Solovej, Communications in Mathematical
    Physics 281 (2008) 349–367.
date_created: 2018-12-11T11:57:20Z
date_published: 2008-07-01T00:00:00Z
date_updated: 2021-01-12T06:57:08Z
day: '01'
doi: 10.1007/s00220-008-0489-2
extern: 1
intvolume: '       281'
issue: '2'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/math-ph/0703086
month: '07'
oa: 1
page: 349 - 367
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4547'
quality_controlled: 0
status: public
title: The BCS functional for general pair interactions
type: journal_article
volume: 281
year: '2008'
...
---
_id: '2381'
abstract:
- lang: eng
  text: We determine the sharp constant in the Hardy inequality for fractional Sobolev
    spaces. To do so, we develop a non-linear and non-local version of the ground
    state representation, which even yields a remainder term. From the sharp Hardy
    inequality we deduce the sharp constant in a Sobolev embedding which is optimal
    in the Lorentz scale. In the appendix, we characterize the cases of equality in
    the rearrangement inequality in fractional Sobolev spaces.
author:
- first_name: Rupert
  full_name: Frank, Rupert L
  last_name: Frank
- first_name: Robert
  full_name: Robert Seiringer
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Frank R, Seiringer R. Non-linear ground state representations and sharp Hardy
    inequalities. <i>Journal of Functional Analysis</i>. 2008;255(12):3407-3430. doi:<a
    href="https://doi.org/10.1016/j.jfa.2008.05.015">10.1016/j.jfa.2008.05.015</a>
  apa: Frank, R., &#38; Seiringer, R. (2008). Non-linear ground state representations
    and sharp Hardy inequalities. <i>Journal of Functional Analysis</i>. Academic
    Press. <a href="https://doi.org/10.1016/j.jfa.2008.05.015">https://doi.org/10.1016/j.jfa.2008.05.015</a>
  chicago: Frank, Rupert, and Robert Seiringer. “Non-Linear Ground State Representations
    and Sharp Hardy Inequalities.” <i>Journal of Functional Analysis</i>. Academic
    Press, 2008. <a href="https://doi.org/10.1016/j.jfa.2008.05.015">https://doi.org/10.1016/j.jfa.2008.05.015</a>.
  ieee: R. Frank and R. Seiringer, “Non-linear ground state representations and sharp
    Hardy inequalities,” <i>Journal of Functional Analysis</i>, vol. 255, no. 12.
    Academic Press, pp. 3407–3430, 2008.
  ista: Frank R, Seiringer R. 2008. Non-linear ground state representations and sharp
    Hardy inequalities. Journal of Functional Analysis. 255(12), 3407–3430.
  mla: Frank, Rupert, and Robert Seiringer. “Non-Linear Ground State Representations
    and Sharp Hardy Inequalities.” <i>Journal of Functional Analysis</i>, vol. 255,
    no. 12, Academic Press, 2008, pp. 3407–30, doi:<a href="https://doi.org/10.1016/j.jfa.2008.05.015">10.1016/j.jfa.2008.05.015</a>.
  short: R. Frank, R. Seiringer, Journal of Functional Analysis 255 (2008) 3407–3430.
date_created: 2018-12-11T11:57:20Z
date_published: 2008-12-15T00:00:00Z
date_updated: 2021-01-12T06:57:08Z
day: '15'
doi: 10.1016/j.jfa.2008.05.015
extern: 1
intvolume: '       255'
issue: '12'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/0803.0503
month: '12'
oa: 1
page: 3407 - 3430
publication: Journal of Functional Analysis
publication_status: published
publisher: Academic Press
publist_id: '4543'
quality_controlled: 0
status: public
title: Non-linear ground state representations and sharp Hardy inequalities
type: journal_article
volume: 255
year: '2008'
...
---
_id: '2382'
abstract:
- lang: eng
  text: We show that the Lieb-Liniger model for one-dimensional bosons with repulsive
    δ-function interaction can be rigorously derived via a scaling limit from a dilute
    three-dimensional Bose gas with arbitrary repulsive interaction potential of finite
    scattering length. For this purpose, we prove bounds on both the eigenvalues and
    corresponding eigenfunctions of three-dimensional bosons in strongly elongated
    traps and relate them to the corresponding quantities in the Lieb-Liniger model.
    In particular, if both the scattering length a and the radius r of the cylindrical
    trap go to zero, the Lieb-Liniger model with coupling constant g ∼ a/r 2 is derived.
    Our bounds are uniform in g in the whole parameter range 0 ≤ g ≤ ∞, and apply
    to the Hamiltonian for three-dimensional bosons in a spectral window of size ∼
    r -2 above the ground state energy.
author:
- first_name: Robert
  full_name: Robert Seiringer
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
- first_name: Jun
  full_name: Yin, Jun
  last_name: Yin
citation:
  ama: Seiringer R, Yin J. The Lieb-Liniger model as a limit of dilute bosons in three
    dimensions. <i>Communications in Mathematical Physics</i>. 2008;284(2):459-479.
    doi:<a href="https://doi.org/10.1007/s00220-008-0521-6">10.1007/s00220-008-0521-6</a>
  apa: Seiringer, R., &#38; Yin, J. (2008). The Lieb-Liniger model as a limit of dilute
    bosons in three dimensions. <i>Communications in Mathematical Physics</i>. Springer.
    <a href="https://doi.org/10.1007/s00220-008-0521-6">https://doi.org/10.1007/s00220-008-0521-6</a>
  chicago: Seiringer, Robert, and Jun Yin. “The Lieb-Liniger Model as a Limit of Dilute
    Bosons in Three Dimensions.” <i>Communications in Mathematical Physics</i>. Springer,
    2008. <a href="https://doi.org/10.1007/s00220-008-0521-6">https://doi.org/10.1007/s00220-008-0521-6</a>.
  ieee: R. Seiringer and J. Yin, “The Lieb-Liniger model as a limit of dilute bosons
    in three dimensions,” <i>Communications in Mathematical Physics</i>, vol. 284,
    no. 2. Springer, pp. 459–479, 2008.
  ista: Seiringer R, Yin J. 2008. The Lieb-Liniger model as a limit of dilute bosons
    in three dimensions. Communications in Mathematical Physics. 284(2), 459–479.
  mla: Seiringer, Robert, and Jun Yin. “The Lieb-Liniger Model as a Limit of Dilute
    Bosons in Three Dimensions.” <i>Communications in Mathematical Physics</i>, vol.
    284, no. 2, Springer, 2008, pp. 459–79, doi:<a href="https://doi.org/10.1007/s00220-008-0521-6">10.1007/s00220-008-0521-6</a>.
  short: R. Seiringer, J. Yin, Communications in Mathematical Physics 284 (2008) 459–479.
date_created: 2018-12-11T11:57:21Z
date_published: 2008-12-01T00:00:00Z
date_updated: 2021-01-12T06:57:08Z
day: '01'
doi: 10.1007/s00220-008-0521-6
extern: 1
intvolume: '       284'
issue: '2'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/0709.4022
month: '12'
oa: 1
page: 459 - 479
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '4544'
quality_controlled: 0
status: public
title: The Lieb-Liniger model as a limit of dilute bosons in three dimensions
type: journal_article
volume: 284
year: '2008'
...
---
_id: '2383'
abstract:
- lang: eng
  text: We study the relativistic electron-positron field at positive temperature
    in the Hartree-Fock approximation. We consider both the case with and without
    exchange terms, and investigate the existence and properties of minimizers. Our
    approach is non-perturbative in the sense that the relevant electron subspace
    is determined in a self-consistent way. The present work is an extension of previous
    work by Hainzl, Lewin, Séré and Solovej where the case of zero temperature was
    considered.
author:
- first_name: Christian
  full_name: Hainzl, Christian
  last_name: Hainzl
- first_name: Mathieu
  full_name: Lewin, Mathieu
  last_name: Lewin
- first_name: Robert
  full_name: Robert Seiringer
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: Hainzl C, Lewin M, Seiringer R. A nonlinear model for relativistic electrons
    at positive temperature. <i>Reviews in Mathematical Physics</i>. 2008;20(10):1283-1307.
    doi:<a href="https://doi.org/10.1142/S0129055X08003547">10.1142/S0129055X08003547</a>
  apa: Hainzl, C., Lewin, M., &#38; Seiringer, R. (2008). A nonlinear model for relativistic
    electrons at positive temperature. <i>Reviews in Mathematical Physics</i>. World
    Scientific Publishing. <a href="https://doi.org/10.1142/S0129055X08003547">https://doi.org/10.1142/S0129055X08003547</a>
  chicago: Hainzl, Christian, Mathieu Lewin, and Robert Seiringer. “A Nonlinear Model
    for Relativistic Electrons at Positive Temperature.” <i>Reviews in Mathematical
    Physics</i>. World Scientific Publishing, 2008. <a href="https://doi.org/10.1142/S0129055X08003547">https://doi.org/10.1142/S0129055X08003547</a>.
  ieee: C. Hainzl, M. Lewin, and R. Seiringer, “A nonlinear model for relativistic
    electrons at positive temperature,” <i>Reviews in Mathematical Physics</i>, vol.
    20, no. 10. World Scientific Publishing, pp. 1283–1307, 2008.
  ista: Hainzl C, Lewin M, Seiringer R. 2008. A nonlinear model for relativistic electrons
    at positive temperature. Reviews in Mathematical Physics. 20(10), 1283–1307.
  mla: Hainzl, Christian, et al. “A Nonlinear Model for Relativistic Electrons at
    Positive Temperature.” <i>Reviews in Mathematical Physics</i>, vol. 20, no. 10,
    World Scientific Publishing, 2008, pp. 1283–307, doi:<a href="https://doi.org/10.1142/S0129055X08003547">10.1142/S0129055X08003547</a>.
  short: C. Hainzl, M. Lewin, R. Seiringer, Reviews in Mathematical Physics 20 (2008)
    1283–1307.
date_created: 2018-12-11T11:57:21Z
date_published: 2008-11-01T00:00:00Z
date_updated: 2021-01-12T06:57:09Z
day: '01'
doi: 10.1142/S0129055X08003547
extern: 1
intvolume: '        20'
issue: '10'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/0802.4054
month: '11'
oa: 1
page: 1283 - 1307
publication: Reviews in Mathematical Physics
publication_status: published
publisher: World Scientific Publishing
publist_id: '4545'
quality_controlled: 0
status: public
title: A nonlinear model for relativistic electrons at positive temperature
type: journal_article
volume: 20
year: '2008'
...
---
_id: '2415'
alternative_title:
- Contemporary Mathematics
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. k-Sets and k-facets. In: Goodman J, Pach J, Pollack R, eds. <i>Surveys
    on Discrete and Computational Geometry: Twenty Years Later</i>. Vol 453. American
    Mathematical Society; 2008:443-514. doi:<a href="https://doi.org/10.1090/conm/453">10.1090/conm/453</a>'
  apa: 'Wagner, U. (2008). k-Sets and k-facets. In J. Goodman, J. Pach, &#38; R. Pollack
    (Eds.), <i>Surveys on Discrete and Computational Geometry: Twenty Years Later</i>
    (Vol. 453, pp. 443–514). American Mathematical Society. <a href="https://doi.org/10.1090/conm/453">https://doi.org/10.1090/conm/453</a>'
  chicago: 'Wagner, Uli. “K-Sets and k-Facets.” In <i>Surveys on Discrete and Computational
    Geometry: Twenty Years Later</i>, edited by Jacob Goodman, János Pach, and Richard
    Pollack, 453:443–514. American Mathematical Society, 2008. <a href="https://doi.org/10.1090/conm/453">https://doi.org/10.1090/conm/453</a>.'
  ieee: 'U. Wagner, “k-Sets and k-facets,” in <i>Surveys on Discrete and Computational
    Geometry: Twenty Years Later</i>, vol. 453, J. Goodman, J. Pach, and R. Pollack,
    Eds. American Mathematical Society, 2008, pp. 443–514.'
  ista: 'Wagner U. 2008.k-Sets and k-facets. In: Surveys on Discrete and Computational
    Geometry: Twenty Years Later. Contemporary Mathematics, vol. 453, 443–514.'
  mla: 'Wagner, Uli. “K-Sets and k-Facets.” <i>Surveys on Discrete and Computational
    Geometry: Twenty Years Later</i>, edited by Jacob Goodman et al., vol. 453, American
    Mathematical Society, 2008, pp. 443–514, doi:<a href="https://doi.org/10.1090/conm/453">10.1090/conm/453</a>.'
  short: 'U. Wagner, in:, J. Goodman, J. Pach, R. Pollack (Eds.), Surveys on Discrete
    and Computational Geometry: Twenty Years Later, American Mathematical Society,
    2008, pp. 443–514.'
date_created: 2018-12-11T11:57:32Z
date_published: 2008-01-01T00:00:00Z
date_updated: 2021-01-12T06:57:21Z
day: '01'
doi: 10.1090/conm/453
editor:
- first_name: Jacob
  full_name: Goodman, Jacob E
  last_name: Goodman
- first_name: János
  full_name: Pach, János
  last_name: Pach
- first_name: Richard
  full_name: Pollack, Richard
  last_name: Pollack
extern: 1
intvolume: '       453'
month: '01'
page: 443 - 514
publication: 'Surveys on Discrete and Computational Geometry: Twenty Years Later'
publication_status: published
publisher: American Mathematical Society
publist_id: '4510'
quality_controlled: 0
status: public
title: k-Sets and k-facets
type: book_chapter
volume: 453
year: '2008'
...
---
_id: '2432'
abstract:
- lang: eng
  text: We study the disk containment problem introduced by Neumann-Lara and Urrutia
    and its generalization to higher dimensions. We relate the problem to centerpoints
    and lower centerpoints of point sets. Moreover, we show that for any set of n
    points in ℝd, there is a subset A ⊆ S of size [d+3/2] such that any ball containing
    A contains at least roughly 4/5ed 3n points of S. This improves previous bounds
    for which the constant was exponentially small in d. We also consider a generalization
    of the planar disk containment problem to families of pseudodisks.
alternative_title:
- LNCS
author:
- first_name: Shakhar
  full_name: Smorodinsky, Shakhar
  last_name: Smorodinsky
- first_name: Marek
  full_name: Sulovský, Marek
  last_name: Sulovský
- first_name: Uli
  full_name: Uli Wagner
  id: 36690CA2-F248-11E8-B48F-1D18A9856A87
  last_name: Wagner
  orcid: 0000-0002-1494-0568
citation:
  ama: 'Smorodinsky S, Sulovský M, Wagner U. On center regions and balls containing
    many points. In: Vol 5092. Springer; 2008:363-373. doi:<a href="https://doi.org/10.1007/978-3-540-69733-6_36">10.1007/978-3-540-69733-6_36</a>'
  apa: 'Smorodinsky, S., Sulovský, M., &#38; Wagner, U. (2008). On center regions
    and balls containing many points (Vol. 5092, pp. 363–373). Presented at the COCOON:
    Conference on Computing and Combinatorics, Springer. <a href="https://doi.org/10.1007/978-3-540-69733-6_36">https://doi.org/10.1007/978-3-540-69733-6_36</a>'
  chicago: Smorodinsky, Shakhar, Marek Sulovský, and Uli Wagner. “On Center Regions
    and Balls Containing Many Points,” 5092:363–73. Springer, 2008. <a href="https://doi.org/10.1007/978-3-540-69733-6_36">https://doi.org/10.1007/978-3-540-69733-6_36</a>.
  ieee: 'S. Smorodinsky, M. Sulovský, and U. Wagner, “On center regions and balls
    containing many points,” presented at the COCOON: Conference on Computing and
    Combinatorics, 2008, vol. 5092, pp. 363–373.'
  ista: 'Smorodinsky S, Sulovský M, Wagner U. 2008. On center regions and balls containing
    many points. COCOON: Conference on Computing and Combinatorics, LNCS, vol. 5092,
    363–373.'
  mla: Smorodinsky, Shakhar, et al. <i>On Center Regions and Balls Containing Many
    Points</i>. Vol. 5092, Springer, 2008, pp. 363–73, doi:<a href="https://doi.org/10.1007/978-3-540-69733-6_36">10.1007/978-3-540-69733-6_36</a>.
  short: S. Smorodinsky, M. Sulovský, U. Wagner, in:, Springer, 2008, pp. 363–373.
conference:
  name: 'COCOON: Conference on Computing and Combinatorics'
date_created: 2018-12-11T11:57:38Z
date_published: 2008-01-01T00:00:00Z
date_updated: 2021-01-12T06:57:27Z
day: '01'
doi: 10.1007/978-3-540-69733-6_36
extern: 1
intvolume: '      5092'
month: '01'
page: 363 - 373
publication_status: published
publisher: Springer
publist_id: '4482'
quality_controlled: 0
status: public
title: On center regions and balls containing many points
type: conference
volume: 5092
year: '2008'
...
---
_id: '2497'
abstract:
- lang: eng
  text: Cyclic nucleotide phosphodiesterase 10A (PDE10A) is a member of phosphodiesterase
    families that degrade cAMP and/or cGMP in distinct intracellular sites. PDE10A
    has a dual activity on hydrolysis of both cAMP and cGMP, and is prominently expressed
    in the striatum and the testis. Previous studies suggested that PDE10A is involved
    in regulation of locomotor activity and potentially related to psychosis, but
    concrete physiological roles of PDE10A remains elusive yet. In this study, we
    genetically inactivated PDE10A2, a prominent isoform of PDE10A in the brain, in
    mice, and demonstrate that PDE10A2 deficiency results in increased social interaction
    without any major influence on different other behaviors, along with increased
    levels of striatal cAMP. We also demonstrate that PDE10A2 is selectively distributed
    in medium spiny neurons, but not interneurons, of the striatal complex. Thus,
    our results establish a physiological role for PDE10A2 in regulating cAMP pathway
    and social interaction, and suggest that cAMP signaling cascade in striatal medium
    spiny neurons might be involved in regulating social interaction behavior in mice.
author:
- first_name: Hiromi
  full_name: Sano, Hiromi
  last_name: Sano
- first_name: Yumiko
  full_name: Nagai, Yumiko
  last_name: Nagai
- first_name: Tsuyoshi
  full_name: Miyakawa, Tsuyoshi
  last_name: Miyakawa
- first_name: Ryuichi
  full_name: Ryuichi Shigemoto
  id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
  last_name: Shigemoto
  orcid: 0000-0001-8761-9444
- first_name: Mineto
  full_name: Yokoi, Mineto
  last_name: Yokoi
citation:
  ama: Sano H, Nagai Y, Miyakawa T, Shigemoto R, Yokoi M. Increased social interaction
    in mice deficient of the striatal medium spiny neuron-specific phosphodiesterase
    10A2. <i>Journal of Neurochemistry</i>. 2008;105(2):546-556. doi:<a href="https://doi.org/10.1111/j.1471-4159.2007.05152.x">10.1111/j.1471-4159.2007.05152.x</a>
  apa: Sano, H., Nagai, Y., Miyakawa, T., Shigemoto, R., &#38; Yokoi, M. (2008). Increased
    social interaction in mice deficient of the striatal medium spiny neuron-specific
    phosphodiesterase 10A2. <i>Journal of Neurochemistry</i>. Wiley-Blackwell. <a
    href="https://doi.org/10.1111/j.1471-4159.2007.05152.x">https://doi.org/10.1111/j.1471-4159.2007.05152.x</a>
  chicago: Sano, Hiromi, Yumiko Nagai, Tsuyoshi Miyakawa, Ryuichi Shigemoto, and Mineto
    Yokoi. “Increased Social Interaction in Mice Deficient of the Striatal Medium
    Spiny Neuron-Specific Phosphodiesterase 10A2.” <i>Journal of Neurochemistry</i>.
    Wiley-Blackwell, 2008. <a href="https://doi.org/10.1111/j.1471-4159.2007.05152.x">https://doi.org/10.1111/j.1471-4159.2007.05152.x</a>.
  ieee: H. Sano, Y. Nagai, T. Miyakawa, R. Shigemoto, and M. Yokoi, “Increased social
    interaction in mice deficient of the striatal medium spiny neuron-specific phosphodiesterase
    10A2,” <i>Journal of Neurochemistry</i>, vol. 105, no. 2. Wiley-Blackwell, pp.
    546–556, 2008.
  ista: Sano H, Nagai Y, Miyakawa T, Shigemoto R, Yokoi M. 2008. Increased social
    interaction in mice deficient of the striatal medium spiny neuron-specific phosphodiesterase
    10A2. Journal of Neurochemistry. 105(2), 546–556.
  mla: Sano, Hiromi, et al. “Increased Social Interaction in Mice Deficient of the
    Striatal Medium Spiny Neuron-Specific Phosphodiesterase 10A2.” <i>Journal of Neurochemistry</i>,
    vol. 105, no. 2, Wiley-Blackwell, 2008, pp. 546–56, doi:<a href="https://doi.org/10.1111/j.1471-4159.2007.05152.x">10.1111/j.1471-4159.2007.05152.x</a>.
  short: H. Sano, Y. Nagai, T. Miyakawa, R. Shigemoto, M. Yokoi, Journal of Neurochemistry
    105 (2008) 546–556.
date_created: 2018-12-11T11:58:01Z
date_published: 2008-04-01T00:00:00Z
date_updated: 2021-01-12T06:57:50Z
day: '01'
doi: 10.1111/j.1471-4159.2007.05152.x
extern: 1
intvolume: '       105'
issue: '2'
month: '04'
page: 546 - 556
publication: Journal of Neurochemistry
publication_status: published
publisher: Wiley-Blackwell
publist_id: '4404'
quality_controlled: 0
status: public
title: Increased social interaction in mice deficient of the striatal medium spiny
  neuron-specific phosphodiesterase 10A2
type: journal_article
volume: 105
year: '2008'
...
