---
_id: '575'
abstract:
- lang: eng
  text: We present the first demonstration of Jozsa's &quot;counterfactual computation&quot;,
    using an optical Grover's search algorithm. We put the algorithm in a superposition
    of 'running' and 'not-running', obtaining information even though the algorithm
    does not run.
alternative_title:
- QELS
author:
- first_name: Onur
  full_name: Onur Hosten
  id: 4C02D85E-F248-11E8-B48F-1D18A9856A87
  last_name: Hosten
  orcid: 0000-0002-2031-204X
- first_name: Matthew
  full_name: Rakher, Matthew T
  last_name: Rakher
- first_name: Julio
  full_name: Barreiro, Julio T
  last_name: Barreiro
- first_name: Nicholas
  full_name: Peters, Nicholas A
  last_name: Peters
- first_name: Paul
  full_name: Kwiat, Paul G
  last_name: Kwiat
citation:
  ama: 'Hosten O, Rakher M, Barreiro J, Peters N, Kwiat P. Counterfactual quantum
    computation. In: Vol 1. IEEE; 2005:365-367. doi:<a href="https://doi.org/ 10.1109/QELS.2005.1548783">
    10.1109/QELS.2005.1548783</a>'
  apa: 'Hosten, O., Rakher, M., Barreiro, J., Peters, N., &#38; Kwiat, P. (2005).
    Counterfactual quantum computation (Vol. 1, pp. 365–367). Presented at the QELS:
    Quantum Electronics and Laser Science, IEEE. <a href="https://doi.org/ 10.1109/QELS.2005.1548783">https://doi.org/
    10.1109/QELS.2005.1548783</a>'
  chicago: Hosten, Onur, Matthew Rakher, Julio Barreiro, Nicholas Peters, and Paul
    Kwiat. “Counterfactual Quantum Computation,” 1:365–67. IEEE, 2005. <a href="https://doi.org/
    10.1109/QELS.2005.1548783">https://doi.org/ 10.1109/QELS.2005.1548783</a>.
  ieee: 'O. Hosten, M. Rakher, J. Barreiro, N. Peters, and P. Kwiat, “Counterfactual
    quantum computation,” presented at the QELS: Quantum Electronics and Laser Science,
    2005, vol. 1, pp. 365–367.'
  ista: 'Hosten O, Rakher M, Barreiro J, Peters N, Kwiat P. 2005. Counterfactual quantum
    computation. QELS: Quantum Electronics and Laser Science, QELS, vol. 1, 365–367.'
  mla: Hosten, Onur, et al. <i>Counterfactual Quantum Computation</i>. Vol. 1, IEEE,
    2005, pp. 365–67, doi:<a href="https://doi.org/ 10.1109/QELS.2005.1548783"> 10.1109/QELS.2005.1548783</a>.
  short: O. Hosten, M. Rakher, J. Barreiro, N. Peters, P. Kwiat, in:, IEEE, 2005,
    pp. 365–367.
conference:
  name: 'QELS: Quantum Electronics and Laser Science'
date_created: 2018-12-11T11:47:16Z
date_published: 2005-01-01T00:00:00Z
date_updated: 2021-01-12T08:03:18Z
day: '01'
doi: ' 10.1109/QELS.2005.1548783'
extern: 1
intvolume: '         1'
month: '01'
page: 365 - 367
publication_status: published
publisher: IEEE
publist_id: '7237'
quality_controlled: 0
status: public
title: Counterfactual quantum computation
type: conference
volume: 1
year: '2005'
...
---
_id: '6153'
abstract:
- lang: eng
  text: A current challenge in neuroscience is to bridge the gaps between genes, proteins,
    neurons, neural circuits, and behavior in a single animal model. The nematode
    Caenorhabditis elegans has unique features that facilitate this synthesis. Its
    nervous system includes exactly 302 neurons, and their pattern of synaptic connectivity
    is known. With only five olfactory neurons, C. elegans can dynamically respond
    to dozens of attractive and repellant odors. Thermosensory neurons enable the
    nematode to remember its cultivation temperature and to track narrow isotherms.
    Polymodal sensory neurons detect a wide range of nociceptive cues and signal robust
    escape responses. Pairing of sensory stimuli leads to long-lived changes in behavior
    consistent with associative learning. Worms exhibit social behaviors and complex
    ultradian rhythms driven by Ca2+ oscillators with clock-like properties. Genetic
    analysis has identified gene products required for nervous system function and
    elucidated the molecular and neural bases of behaviors.
article_processing_charge: No
article_type: original
author:
- first_name: Mario
  full_name: de Bono, Mario
  id: 4E3FF80E-F248-11E8-B48F-1D18A9856A87
  last_name: de Bono
  orcid: 0000-0001-8347-0443
- first_name: Andres
  full_name: Villu Maricq, Andres
  last_name: Villu Maricq
citation:
  ama: de Bono M, Villu Maricq A. Neuronal substrates of complex behaviors in C. elegans.
    <i>Annual Review of Neuroscience</i>. 2005;28:451-501. doi:<a href="https://doi.org/10.1146/annurev.neuro.27.070203.144259">10.1146/annurev.neuro.27.070203.144259</a>
  apa: de Bono, M., &#38; Villu Maricq, A. (2005). Neuronal substrates of complex
    behaviors in C. elegans. <i>Annual Review of Neuroscience</i>. Annual Reviews.
    <a href="https://doi.org/10.1146/annurev.neuro.27.070203.144259">https://doi.org/10.1146/annurev.neuro.27.070203.144259</a>
  chicago: Bono, Mario de, and Andres Villu Maricq. “Neuronal Substrates of Complex
    Behaviors in C. Elegans.” <i>Annual Review of Neuroscience</i>. Annual Reviews,
    2005. <a href="https://doi.org/10.1146/annurev.neuro.27.070203.144259">https://doi.org/10.1146/annurev.neuro.27.070203.144259</a>.
  ieee: M. de Bono and A. Villu Maricq, “Neuronal substrates of complex behaviors
    in C. elegans,” <i>Annual Review of Neuroscience</i>, vol. 28. Annual Reviews,
    pp. 451–501, 2005.
  ista: de Bono M, Villu Maricq A. 2005. Neuronal substrates of complex behaviors
    in C. elegans. Annual Review of Neuroscience. 28, 451–501.
  mla: de Bono, Mario, and Andres Villu Maricq. “Neuronal Substrates of Complex Behaviors
    in C. Elegans.” <i>Annual Review of Neuroscience</i>, vol. 28, Annual Reviews,
    2005, pp. 451–501, doi:<a href="https://doi.org/10.1146/annurev.neuro.27.070203.144259">10.1146/annurev.neuro.27.070203.144259</a>.
  short: M. de Bono, A. Villu Maricq, Annual Review of Neuroscience 28 (2005) 451–501.
date_created: 2019-03-21T09:31:29Z
date_published: 2005-07-21T00:00:00Z
date_updated: 2021-01-12T08:06:24Z
day: '21'
doi: 10.1146/annurev.neuro.27.070203.144259
extern: '1'
external_id:
  pmid:
  - '16022603'
intvolume: '        28'
language:
- iso: eng
month: '07'
oa_version: None
page: 451-501
pmid: 1
publication: Annual Review of Neuroscience
publication_identifier:
  issn:
  - 0147-006X
  - 1545-4126
publication_status: published
publisher: Annual Reviews
quality_controlled: '1'
status: public
title: Neuronal substrates of complex behaviors in C. elegans
type: journal_article
user_id: D865714E-FA4E-11E9-B85B-F5C5E5697425
volume: 28
year: '2005'
...
---
_id: '6154'
author:
- first_name: Benny H.H.
  full_name: Cheung, Benny H.H.
  last_name: Cheung
- first_name: Merav
  full_name: Cohen, Merav
  last_name: Cohen
- first_name: Candida
  full_name: Rogers, Candida
  last_name: Rogers
- first_name: Onder
  full_name: Albayram, Onder
  last_name: Albayram
- first_name: Mario
  full_name: de Bono, Mario
  id: 4E3FF80E-F248-11E8-B48F-1D18A9856A87
  last_name: de Bono
  orcid: 0000-0001-8347-0443
citation:
  ama: Cheung BHH, Cohen M, Rogers C, Albayram O, de Bono M. Experience-dependent
    modulation of C. elegans behavior by ambient oxygen. <i>Current Biology</i>. 2005;15(10):905-917.
    doi:<a href="https://doi.org/10.1016/j.cub.2005.04.017">10.1016/j.cub.2005.04.017</a>
  apa: Cheung, B. H. H., Cohen, M., Rogers, C., Albayram, O., &#38; de Bono, M. (2005).
    Experience-dependent modulation of C. elegans behavior by ambient oxygen. <i>Current
    Biology</i>. Elsevier. <a href="https://doi.org/10.1016/j.cub.2005.04.017">https://doi.org/10.1016/j.cub.2005.04.017</a>
  chicago: Cheung, Benny H.H., Merav Cohen, Candida Rogers, Onder Albayram, and Mario
    de Bono. “Experience-Dependent Modulation of C. Elegans Behavior by Ambient Oxygen.”
    <i>Current Biology</i>. Elsevier, 2005. <a href="https://doi.org/10.1016/j.cub.2005.04.017">https://doi.org/10.1016/j.cub.2005.04.017</a>.
  ieee: B. H. H. Cheung, M. Cohen, C. Rogers, O. Albayram, and M. de Bono, “Experience-dependent
    modulation of C. elegans behavior by ambient oxygen,” <i>Current Biology</i>,
    vol. 15, no. 10. Elsevier, pp. 905–917, 2005.
  ista: Cheung BHH, Cohen M, Rogers C, Albayram O, de Bono M. 2005. Experience-dependent
    modulation of C. elegans behavior by ambient oxygen. Current Biology. 15(10),
    905–917.
  mla: Cheung, Benny H. H., et al. “Experience-Dependent Modulation of C. Elegans
    Behavior by Ambient Oxygen.” <i>Current Biology</i>, vol. 15, no. 10, Elsevier,
    2005, pp. 905–17, doi:<a href="https://doi.org/10.1016/j.cub.2005.04.017">10.1016/j.cub.2005.04.017</a>.
  short: B.H.H. Cheung, M. Cohen, C. Rogers, O. Albayram, M. de Bono, Current Biology
    15 (2005) 905–917.
date_created: 2019-03-21T09:37:48Z
date_published: 2005-05-24T00:00:00Z
date_updated: 2021-01-12T08:06:24Z
day: '24'
doi: 10.1016/j.cub.2005.04.017
extern: '1'
external_id:
  pmid:
  - '15916947'
intvolume: '        15'
issue: '10'
language:
- iso: eng
month: '05'
oa_version: None
page: 905-917
pmid: 1
publication: Current Biology
publication_identifier:
  issn:
  - 0960-9822
publication_status: published
publisher: Elsevier
quality_controlled: '1'
status: public
title: Experience-dependent modulation of C. elegans behavior by ambient oxygen
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 15
year: '2005'
...
---
_id: '9491'
abstract:
- lang: eng
  text: Cytosine DNA methylation in vertebrates is widespread, but methylation in
    plants is found almost exclusively at transposable elements and repetitive DNA
    [1]. Within regions of methylation, methylcytosines are typically found in CG,
    CNG, and asymmetric contexts. CG sites are maintained by a plant homolog of mammalian
    Dnmt1 acting on hemi-methylated DNA after replication. Methylation of CNG and
    asymmetric sites appears to be maintained at each cell cycle by other mechanisms.
    We report a new type of DNA methylation in Arabidopsis, dense CG methylation clusters
    found at scattered sites throughout the genome. These clusters lack non-CG methylation
    and are preferentially found in genes, although they are relatively deficient
    toward the 5′ end. CG methylation clusters are present in lines derived from different
    accessions and in mutants that eliminate de novo methylation, indicating that
    CG methylation clusters are stably maintained at specific sites. Because 5-methylcytosine
    is mutagenic, the appearance of CG methylation clusters over evolutionary time
    predicts a genome-wide deficiency of CG dinucleotides and an excess of C(A/T)G
    trinucleotides within transcribed regions. This is exactly what we find, implying
    that CG methylation clusters have contributed profoundly to plant gene evolution.
    We suggest that CG methylation clusters silence cryptic promoters that arise sporadically
    within transcription units.
article_processing_charge: No
article_type: original
author:
- first_name: Robert K.
  full_name: Tran, Robert K.
  last_name: Tran
- first_name: Jorja G.
  full_name: Henikoff, Jorja G.
  last_name: Henikoff
- first_name: Daniel
  full_name: Zilberman, Daniel
  id: 6973db13-dd5f-11ea-814e-b3e5455e9ed1
  last_name: Zilberman
  orcid: 0000-0002-0123-8649
- first_name: Renata F.
  full_name: Ditt, Renata F.
  last_name: Ditt
- first_name: Steven E.
  full_name: Jacobsen, Steven E.
  last_name: Jacobsen
- first_name: Steven
  full_name: Henikoff, Steven
  last_name: Henikoff
citation:
  ama: Tran RK, Henikoff JG, Zilberman D, Ditt RF, Jacobsen SE, Henikoff S. DNA methylation
    profiling identifies CG methylation clusters in Arabidopsis genes. <i>Current
    Biology</i>. 2005;15(2):154-159. doi:<a href="https://doi.org/10.1016/j.cub.2005.01.008">10.1016/j.cub.2005.01.008</a>
  apa: Tran, R. K., Henikoff, J. G., Zilberman, D., Ditt, R. F., Jacobsen, S. E.,
    &#38; Henikoff, S. (2005). DNA methylation profiling identifies CG methylation
    clusters in Arabidopsis genes. <i>Current Biology</i>. Elsevier. <a href="https://doi.org/10.1016/j.cub.2005.01.008">https://doi.org/10.1016/j.cub.2005.01.008</a>
  chicago: Tran, Robert K., Jorja G. Henikoff, Daniel Zilberman, Renata F. Ditt, Steven
    E. Jacobsen, and Steven Henikoff. “DNA Methylation Profiling Identifies CG Methylation
    Clusters in Arabidopsis Genes.” <i>Current Biology</i>. Elsevier, 2005. <a href="https://doi.org/10.1016/j.cub.2005.01.008">https://doi.org/10.1016/j.cub.2005.01.008</a>.
  ieee: R. K. Tran, J. G. Henikoff, D. Zilberman, R. F. Ditt, S. E. Jacobsen, and
    S. Henikoff, “DNA methylation profiling identifies CG methylation clusters in
    Arabidopsis genes,” <i>Current Biology</i>, vol. 15, no. 2. Elsevier, pp. 154–159,
    2005.
  ista: Tran RK, Henikoff JG, Zilberman D, Ditt RF, Jacobsen SE, Henikoff S. 2005.
    DNA methylation profiling identifies CG methylation clusters in Arabidopsis genes.
    Current Biology. 15(2), 154–159.
  mla: Tran, Robert K., et al. “DNA Methylation Profiling Identifies CG Methylation
    Clusters in Arabidopsis Genes.” <i>Current Biology</i>, vol. 15, no. 2, Elsevier,
    2005, pp. 154–59, doi:<a href="https://doi.org/10.1016/j.cub.2005.01.008">10.1016/j.cub.2005.01.008</a>.
  short: R.K. Tran, J.G. Henikoff, D. Zilberman, R.F. Ditt, S.E. Jacobsen, S. Henikoff,
    Current Biology 15 (2005) 154–159.
date_created: 2021-06-07T10:24:30Z
date_published: 2005-01-26T00:00:00Z
date_updated: 2021-12-14T09:12:26Z
day: '26'
department:
- _id: DaZi
doi: 10.1016/j.cub.2005.01.008
extern: '1'
external_id:
  pmid:
  - '15668172 '
intvolume: '        15'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1016/j.cub.2005.01.008
month: '01'
oa: 1
oa_version: Published Version
page: 154-159
pmid: 1
publication: Current Biology
publication_identifier:
  eissn:
  - 1879-0445
  issn:
  - 0960-9822
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: DNA methylation profiling identifies CG methylation clusters in Arabidopsis
  genes
type: journal_article
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 15
year: '2005'
...
---
_id: '9514'
abstract:
- lang: eng
  text: "Background:\r\nDNA methylation occurs at preferred sites in eukaryotes. In
    Arabidopsis, DNA cytosine methylation is maintained by three subfamilies of methyltransferases
    with distinct substrate specificities and different modes of action. Targeting
    of cytosine methylation at selected loci has been found to sometimes involve histone
    H3 methylation and small interfering (si)RNAs. However, the relationship between
    different cytosine methylation pathways and their preferred targets is not known.\r\nResults:\r\nWe
    used a microarray-based profiling method to explore the involvement of Arabidopsis
    CMT3 and DRM DNA methyltransferases, a histone H3 lysine-9 methyltransferase (KYP)
    and an Argonaute-related siRNA silencing component (AGO4) in methylating target
    loci. We found that KYP targets are also CMT3 targets, suggesting that histone
    methylation maintains CNG methylation genome-wide. CMT3 and KYP targets show similar
    proximal distributions that correspond to the overall distribution of transposable
    elements of all types, whereas DRM targets are distributed more distally along
    the chromosome. We find an inverse relationship between element size and loss
    of methylation in ago4 and drm mutants.\r\nConclusion:\r\nWe conclude that the
    targets of both DNA methylation and histone H3K9 methylation pathways are transposable
    elements genome-wide, irrespective of element type and position. Our findings
    also suggest that RNA-directed DNA methylation is required to silence isolated
    elements that may be too small to be maintained in a silent state by a chromatin-based
    mechanism alone. Thus, parallel pathways would be needed to maintain silencing
    of transposable elements."
article_number: R90
article_processing_charge: No
article_type: original
author:
- first_name: Robert K.
  full_name: Tran, Robert K.
  last_name: Tran
- first_name: Daniel
  full_name: Zilberman, Daniel
  id: 6973db13-dd5f-11ea-814e-b3e5455e9ed1
  last_name: Zilberman
  orcid: 0000-0002-0123-8649
- first_name: Cecilia
  full_name: de Bustos, Cecilia
  last_name: de Bustos
- first_name: Renata F.
  full_name: Ditt, Renata F.
  last_name: Ditt
- first_name: Jorja G.
  full_name: Henikoff, Jorja G.
  last_name: Henikoff
- first_name: Anders M.
  full_name: Lindroth, Anders M.
  last_name: Lindroth
- first_name: Jeffrey
  full_name: Delrow, Jeffrey
  last_name: Delrow
- first_name: Tom
  full_name: Boyle, Tom
  last_name: Boyle
- first_name: Samson
  full_name: Kwong, Samson
  last_name: Kwong
- first_name: Terri D.
  full_name: Bryson, Terri D.
  last_name: Bryson
- first_name: Steven E.
  full_name: Jacobsen, Steven E.
  last_name: Jacobsen
- first_name: Steven
  full_name: Henikoff, Steven
  last_name: Henikoff
citation:
  ama: Tran RK, Zilberman D, de Bustos C, et al. Chromatin and siRNA pathways cooperate
    to maintain DNA methylation of small transposable elements in Arabidopsis. <i>Genome
    Biology</i>. 2005;6(11). doi:<a href="https://doi.org/10.1186/gb-2005-6-11-r90">10.1186/gb-2005-6-11-r90</a>
  apa: Tran, R. K., Zilberman, D., de Bustos, C., Ditt, R. F., Henikoff, J. G., Lindroth,
    A. M., … Henikoff, S. (2005). Chromatin and siRNA pathways cooperate to maintain
    DNA methylation of small transposable elements in Arabidopsis. <i>Genome Biology</i>.
    Springer Nature. <a href="https://doi.org/10.1186/gb-2005-6-11-r90">https://doi.org/10.1186/gb-2005-6-11-r90</a>
  chicago: Tran, Robert K., Daniel Zilberman, Cecilia de Bustos, Renata F. Ditt, Jorja
    G. Henikoff, Anders M. Lindroth, Jeffrey Delrow, et al. “Chromatin and SiRNA Pathways
    Cooperate to Maintain DNA Methylation of Small Transposable Elements in Arabidopsis.”
    <i>Genome Biology</i>. Springer Nature, 2005. <a href="https://doi.org/10.1186/gb-2005-6-11-r90">https://doi.org/10.1186/gb-2005-6-11-r90</a>.
  ieee: R. K. Tran <i>et al.</i>, “Chromatin and siRNA pathways cooperate to maintain
    DNA methylation of small transposable elements in Arabidopsis,” <i>Genome Biology</i>,
    vol. 6, no. 11. Springer Nature, 2005.
  ista: Tran RK, Zilberman D, de Bustos C, Ditt RF, Henikoff JG, Lindroth AM, Delrow
    J, Boyle T, Kwong S, Bryson TD, Jacobsen SE, Henikoff S. 2005. Chromatin and siRNA
    pathways cooperate to maintain DNA methylation of small transposable elements
    in Arabidopsis. Genome Biology. 6(11), R90.
  mla: Tran, Robert K., et al. “Chromatin and SiRNA Pathways Cooperate to Maintain
    DNA Methylation of Small Transposable Elements in Arabidopsis.” <i>Genome Biology</i>,
    vol. 6, no. 11, R90, Springer Nature, 2005, doi:<a href="https://doi.org/10.1186/gb-2005-6-11-r90">10.1186/gb-2005-6-11-r90</a>.
  short: R.K. Tran, D. Zilberman, C. de Bustos, R.F. Ditt, J.G. Henikoff, A.M. Lindroth,
    J. Delrow, T. Boyle, S. Kwong, T.D. Bryson, S.E. Jacobsen, S. Henikoff, Genome
    Biology 6 (2005).
date_created: 2021-06-07T13:12:41Z
date_published: 2005-10-19T00:00:00Z
date_updated: 2021-12-14T09:09:41Z
day: '19'
department:
- _id: DaZi
doi: 10.1186/gb-2005-6-11-r90
extern: '1'
external_id:
  pmid:
  - '16277745'
intvolume: '         6'
issue: '11'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1186/gb-2005-6-11-r90
month: '10'
oa: 1
oa_version: Published Version
pmid: 1
publication: Genome Biology
publication_identifier:
  eissn:
  - 1465-6906
  issn:
  - 1474-760X
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Chromatin and siRNA pathways cooperate to maintain DNA methylation of small
  transposable elements in Arabidopsis
type: journal_article
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 6
year: '2005'
...
---
_id: '9529'
abstract:
- lang: eng
  text: Eukaryotic organisms have the remarkable ability to inherit states of gene
    activity without altering the underlying DNA sequence. This epigenetic inheritance
    can persist over thousands of years, providing an alternative to genetic mutations
    as a substrate for natural selection. Epigenetic inheritance might be propagated
    by differences in DNA methylation, post-translational histone modifications, and
    deposition of histone variants. Mounting evidence also indicates that small interfering
    RNA (siRNA)-mediated mechanisms play central roles in setting up and maintaining
    states of gene activity. Much of the epigenetic machinery of many organisms, including
    Arabidopsis, appears to be directed at silencing viruses and transposable elements,
    with epigenetic regulation of endogenous genes being mostly derived from such
    processes.
article_processing_charge: No
article_type: review
author:
- first_name: Daniel
  full_name: Zilberman, Daniel
  id: 6973db13-dd5f-11ea-814e-b3e5455e9ed1
  last_name: Zilberman
  orcid: 0000-0002-0123-8649
- first_name: Steven
  full_name: Henikoff, Steven
  last_name: Henikoff
citation:
  ama: 'Zilberman D, Henikoff S. Epigenetic inheritance in Arabidopsis: Selective
    silence. <i>Current Opinion in Genetics and Development</i>. 2005;15(5):557-562.
    doi:<a href="https://doi.org/10.1016/j.gde.2005.07.002">10.1016/j.gde.2005.07.002</a>'
  apa: 'Zilberman, D., &#38; Henikoff, S. (2005). Epigenetic inheritance in Arabidopsis:
    Selective silence. <i>Current Opinion in Genetics and Development</i>. Elsevier.
    <a href="https://doi.org/10.1016/j.gde.2005.07.002">https://doi.org/10.1016/j.gde.2005.07.002</a>'
  chicago: 'Zilberman, Daniel, and Steven Henikoff. “Epigenetic Inheritance in Arabidopsis:
    Selective Silence.” <i>Current Opinion in Genetics and Development</i>. Elsevier,
    2005. <a href="https://doi.org/10.1016/j.gde.2005.07.002">https://doi.org/10.1016/j.gde.2005.07.002</a>.'
  ieee: 'D. Zilberman and S. Henikoff, “Epigenetic inheritance in Arabidopsis: Selective
    silence,” <i>Current Opinion in Genetics and Development</i>, vol. 15, no. 5.
    Elsevier, pp. 557–562, 2005.'
  ista: 'Zilberman D, Henikoff S. 2005. Epigenetic inheritance in Arabidopsis: Selective
    silence. Current Opinion in Genetics and Development. 15(5), 557–562.'
  mla: 'Zilberman, Daniel, and Steven Henikoff. “Epigenetic Inheritance in Arabidopsis:
    Selective Silence.” <i>Current Opinion in Genetics and Development</i>, vol. 15,
    no. 5, Elsevier, 2005, pp. 557–62, doi:<a href="https://doi.org/10.1016/j.gde.2005.07.002">10.1016/j.gde.2005.07.002</a>.'
  short: D. Zilberman, S. Henikoff, Current Opinion in Genetics and Development 15
    (2005) 557–562.
date_created: 2021-06-08T09:05:56Z
date_published: 2005-10-01T00:00:00Z
date_updated: 2021-12-14T09:13:13Z
department:
- _id: DaZi
doi: 10.1016/j.gde.2005.07.002
extern: '1'
external_id:
  pmid:
  - '16085410'
intvolume: '        15'
issue: '5'
language:
- iso: eng
month: '10'
oa_version: None
page: 557-562
pmid: 1
publication: Current Opinion in Genetics and Development
publication_identifier:
  issn:
  - 0959-437X
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Epigenetic inheritance in Arabidopsis: Selective silence'
type: journal_article
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 15
year: '2005'
...
---
_id: '11120'
abstract:
- lang: eng
  text: The nuclear envelope (NE) is a highly specialized membrane that delineates
    the eukaryotic cell nucleus. It is composed of the inner and outer nuclear membranes,
    nuclear pore complexes (NPCs) and, in metazoa, the lamina. The NE not only regulates
    the trafficking of macromolecules between nucleoplasm and cytosol but also provides
    anchoring sites for chromatin and the cytoskeleton. Through these interactions,
    the NE helps position the nucleus within the cell and chromosomes within the nucleus,
    thereby regulating the expression of certain genes. The NE is not static, rather
    it is continuously remodeled during cell division. The most dramatic example of
    NE reorganization occurs during mitosis in metazoa when the NE undergoes a complete
    cycle of disassembly and reformation. Despite the importance of the NE for eukaryotic
    cell life, relatively little is known about its biogenesis or many of its functions.
    We thus are far from understanding the molecular etiology of a diverse group of
    NE-associated diseases.
article_processing_charge: No
article_type: original
author:
- 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: Tobias C.
  full_name: Walther, Tobias C.
  last_name: Walther
- first_name: Iain W.
  full_name: Mattaj, Iain W.
  last_name: Mattaj
citation:
  ama: 'Hetzer M, Walther TC, Mattaj IW. Pushing the envelope: Structure, function,
    and dynamics of the nuclear periphery. <i>Annual Review of Cell and Developmental
    Biology</i>. 2005;21:347-380. doi:<a href="https://doi.org/10.1146/annurev.cellbio.21.090704.151152">10.1146/annurev.cellbio.21.090704.151152</a>'
  apa: 'Hetzer, M., Walther, T. C., &#38; Mattaj, I. W. (2005). Pushing the envelope:
    Structure, function, and dynamics of the nuclear periphery. <i>Annual Review of
    Cell and Developmental Biology</i>. Annual Reviews. <a href="https://doi.org/10.1146/annurev.cellbio.21.090704.151152">https://doi.org/10.1146/annurev.cellbio.21.090704.151152</a>'
  chicago: 'Hetzer, Martin, Tobias C. Walther, and Iain W. Mattaj. “Pushing the Envelope:
    Structure, Function, and Dynamics of the Nuclear Periphery.” <i>Annual Review
    of Cell and Developmental Biology</i>. Annual Reviews, 2005. <a href="https://doi.org/10.1146/annurev.cellbio.21.090704.151152">https://doi.org/10.1146/annurev.cellbio.21.090704.151152</a>.'
  ieee: 'M. Hetzer, T. C. Walther, and I. W. Mattaj, “Pushing the envelope: Structure,
    function, and dynamics of the nuclear periphery,” <i>Annual Review of Cell and
    Developmental Biology</i>, vol. 21. Annual Reviews, pp. 347–380, 2005.'
  ista: 'Hetzer M, Walther TC, Mattaj IW. 2005. Pushing the envelope: Structure, function,
    and dynamics of the nuclear periphery. Annual Review of Cell and Developmental
    Biology. 21, 347–380.'
  mla: 'Hetzer, Martin, et al. “Pushing the Envelope: Structure, Function, and Dynamics
    of the Nuclear Periphery.” <i>Annual Review of Cell and Developmental Biology</i>,
    vol. 21, Annual Reviews, 2005, pp. 347–80, doi:<a href="https://doi.org/10.1146/annurev.cellbio.21.090704.151152">10.1146/annurev.cellbio.21.090704.151152</a>.'
  short: M. Hetzer, T.C. Walther, I.W. Mattaj, Annual Review of Cell and Developmental
    Biology 21 (2005) 347–380.
date_created: 2022-04-07T07:56:52Z
date_published: 2005-11-10T00:00:00Z
date_updated: 2022-07-18T08:57:34Z
day: '10'
doi: 10.1146/annurev.cellbio.21.090704.151152
extern: '1'
external_id:
  pmid:
  - '16212499'
intvolume: '        21'
keyword:
- Cell Biology
- Developmental Biology
language:
- iso: eng
month: '11'
oa_version: None
page: 347-380
pmid: 1
publication: Annual Review of Cell and Developmental Biology
publication_identifier:
  eissn:
  - 1530-8995
  issn:
  - 1081-0706
publication_status: published
publisher: Annual Reviews
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Pushing the envelope: Structure, function, and dynamics of the nuclear periphery'
type: journal_article
user_id: 72615eeb-f1f3-11ec-aa25-d4573ddc34fd
volume: 21
year: '2005'
...
---
_id: '11698'
abstract:
- lang: eng
  text: We give a short survey of the use of hyperlink analysis in web search engine
    ranking and sketch other applications of hyperlink analysis in the web space.
article_processing_charge: No
author:
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
citation:
  ama: 'Henzinger MH. Hyperlink analysis on the world wide web. In: <i>Proceedings
    of the 16th ACM Conference on Hypertext and Hypermedia</i>. Association for Computing
    Machinery; 2005:1-3. doi:<a href="https://doi.org/10.1145/1083356.1083357">10.1145/1083356.1083357</a>'
  apa: 'Henzinger, M. H. (2005). Hyperlink analysis on the world wide web. In <i>Proceedings
    of the 16th ACM conference on Hypertext and hypermedia</i> (pp. 1–3). Salzburg,
    Austria: Association for Computing Machinery. <a href="https://doi.org/10.1145/1083356.1083357">https://doi.org/10.1145/1083356.1083357</a>'
  chicago: Henzinger, Monika H. “Hyperlink Analysis on the World Wide Web.” In <i>Proceedings
    of the 16th ACM Conference on Hypertext and Hypermedia</i>, 1–3. Association for
    Computing Machinery, 2005. <a href="https://doi.org/10.1145/1083356.1083357">https://doi.org/10.1145/1083356.1083357</a>.
  ieee: M. H. Henzinger, “Hyperlink analysis on the world wide web,” in <i>Proceedings
    of the 16th ACM conference on Hypertext and hypermedia</i>, Salzburg, Austria,
    2005, pp. 1–3.
  ista: 'Henzinger MH. 2005. Hyperlink analysis on the world wide web. Proceedings
    of the 16th ACM conference on Hypertext and hypermedia. HYPERTEXT: Conference
    on Hypertext and Hypermedia, 1–3.'
  mla: Henzinger, Monika H. “Hyperlink Analysis on the World Wide Web.” <i>Proceedings
    of the 16th ACM Conference on Hypertext and Hypermedia</i>, Association for Computing
    Machinery, 2005, pp. 1–3, doi:<a href="https://doi.org/10.1145/1083356.1083357">10.1145/1083356.1083357</a>.
  short: M.H. Henzinger, in:, Proceedings of the 16th ACM Conference on Hypertext
    and Hypermedia, Association for Computing Machinery, 2005, pp. 1–3.
conference:
  end_date: 2005-09-09
  location: Salzburg, Austria
  name: 'HYPERTEXT: Conference on Hypertext and Hypermedia'
  start_date: 2005-09-06
date_created: 2022-07-29T10:47:23Z
date_published: 2005-09-06T00:00:00Z
date_updated: 2023-02-09T11:54:40Z
day: '06'
doi: 10.1145/1083356.1083357
extern: '1'
keyword:
- Hyperlink Analysis
- World Wide Web
language:
- iso: eng
month: '09'
oa_version: None
page: 1-3
publication: Proceedings of the 16th ACM conference on Hypertext and hypermedia
publication_identifier:
  isbn:
  - '9781595931689'
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
scopus_import: '1'
status: public
title: Hyperlink analysis on the world wide web
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2005'
...
---
_id: '11763'
abstract:
- lang: eng
  text: "We present the first polylog-competitive online algorithm for the general
    multicast admission control and routing problem in the throughput model. The ratio
    of the number of requests accepted by the optimum offline algorithm to the expected
    number of requests accepted by our algorithm is O((log n + log log M)(log n +
    log M) log n), where M is the number of multicast groups and n is the number of
    nodes in the graph. We show that this is close to optimum by presenting an\r\nΩ(log
    n log M) lower bound on this ratio for any randomized online algorithm against
    an oblivious adversary, when M is much larger than the link capacities. Our lower
    bound applies even in the restricted case where the link capacities are much larger
    than bandwidth requested by a single multicast. We also present a simple proof
    showing that it is impossible to be competitive against an adaptive online adversary.\r\nAs
    in the previous online routing algorithms, our algorithm uses edge-costs when
    deciding on which is the best path to use. In contrast to the previous competitive
    algorithms in the throughput model, our cost is not a direct function of the edge
    load. The new cost definition allows us to decouple the effects of routing and
    admission decisions of different multicast groups."
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
citation:
  ama: Goel A, Henzinger MH, Plotkin S. An online throughput-competitive algorithm
    for multicast routing and admission control. <i>Journal of Algorithms</i>. 2005;55(1):1-20.
    doi:<a href="https://doi.org/10.1016/j.jalgor.2004.11.001">10.1016/j.jalgor.2004.11.001</a>
  apa: Goel, A., Henzinger, M. H., &#38; Plotkin, S. (2005). An online throughput-competitive
    algorithm for multicast routing and admission control. <i>Journal of Algorithms</i>.
    Elsevier. <a href="https://doi.org/10.1016/j.jalgor.2004.11.001">https://doi.org/10.1016/j.jalgor.2004.11.001</a>
  chicago: Goel, Ashish, Monika H Henzinger, and Serge Plotkin. “An Online Throughput-Competitive
    Algorithm for Multicast Routing and Admission Control.” <i>Journal of Algorithms</i>.
    Elsevier, 2005. <a href="https://doi.org/10.1016/j.jalgor.2004.11.001">https://doi.org/10.1016/j.jalgor.2004.11.001</a>.
  ieee: A. Goel, M. H. Henzinger, and S. Plotkin, “An online throughput-competitive
    algorithm for multicast routing and admission control,” <i>Journal of Algorithms</i>,
    vol. 55, no. 1. Elsevier, pp. 1–20, 2005.
  ista: Goel A, Henzinger MH, Plotkin S. 2005. An online throughput-competitive algorithm
    for multicast routing and admission control. Journal of Algorithms. 55(1), 1–20.
  mla: Goel, Ashish, et al. “An Online Throughput-Competitive Algorithm for Multicast
    Routing and Admission Control.” <i>Journal of Algorithms</i>, vol. 55, no. 1,
    Elsevier, 2005, pp. 1–20, doi:<a href="https://doi.org/10.1016/j.jalgor.2004.11.001">10.1016/j.jalgor.2004.11.001</a>.
  short: A. Goel, M.H. Henzinger, S. Plotkin, Journal of Algorithms 55 (2005) 1–20.
date_created: 2022-08-08T12:03:00Z
date_published: 2005-04-01T00:00:00Z
date_updated: 2023-02-21T16:33:22Z
day: '01'
doi: 10.1016/j.jalgor.2004.11.001
extern: '1'
intvolume: '        55'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1016/j.jalgor.2004.11.001
month: '04'
oa: 1
oa_version: Published Version
page: 1-20
publication: Journal of Algorithms
publication_identifier:
  issn:
  - 0196-6774
publication_status: published
publisher: Elsevier
quality_controlled: '1'
related_material:
  record:
  - id: '11926'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: An online throughput-competitive algorithm for multicast routing and admission
  control
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 55
year: '2005'
...
---
_id: '11904'
abstract:
- lang: eng
  text: "Many daily activities present information in the form of a stream of text,
    and often people can benefit from additional information on the topic discussed.
    TV broadcast news can be treated as one such stream of text; in this paper we
    discuss finding news articles on the web that are relevant to news currently being
    broadcast.\r\n\r\nWe evaluated a variety of algorithms for this problem, looking
    at the impact of inverse document frequency, stemming, compounds, history, and
    query length on the relevance and coverage of news articles returned in real time
    during a broadcast. We also evaluated several postprocessing techniques for improving
    the precision, including reranking using additional terms, reranking by document
    similarity, and filtering on document similarity. For the best algorithm, 84–91%
    of the articles found were relevant, with at least 64% of the articles being on
    the exact topic of the broadcast. In addition, a relevant article was found for
    at least 70% of the topics."
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: Bay-Wei
  full_name: Chang, Bay-Wei
  last_name: Chang
- first_name: Brian
  full_name: Milch, Brian
  last_name: Milch
- first_name: Sergey
  full_name: Brin, Sergey
  last_name: Brin
citation:
  ama: Henzinger MH, Chang B-W, Milch B, Brin S. Query-free news search. <i>World
    Wide Web</i>. 2005;8(2):101-126. doi:<a href="https://doi.org/10.1007/s11280-004-4870-6">10.1007/s11280-004-4870-6</a>
  apa: Henzinger, M. H., Chang, B.-W., Milch, B., &#38; Brin, S. (2005). Query-free
    news search. <i>World Wide Web</i>. Springer Nature. <a href="https://doi.org/10.1007/s11280-004-4870-6">https://doi.org/10.1007/s11280-004-4870-6</a>
  chicago: Henzinger, Monika H, Bay-Wei Chang, Brian Milch, and Sergey Brin. “Query-Free
    News Search.” <i>World Wide Web</i>. Springer Nature, 2005. <a href="https://doi.org/10.1007/s11280-004-4870-6">https://doi.org/10.1007/s11280-004-4870-6</a>.
  ieee: M. H. Henzinger, B.-W. Chang, B. Milch, and S. Brin, “Query-free news search,”
    <i>World Wide Web</i>, vol. 8, no. 2. Springer Nature, pp. 101–126, 2005.
  ista: Henzinger MH, Chang B-W, Milch B, Brin S. 2005. Query-free news search. World
    Wide Web. 8(2), 101–126.
  mla: Henzinger, Monika H., et al. “Query-Free News Search.” <i>World Wide Web</i>,
    vol. 8, no. 2, Springer Nature, 2005, pp. 101–26, doi:<a href="https://doi.org/10.1007/s11280-004-4870-6">10.1007/s11280-004-4870-6</a>.
  short: M.H. Henzinger, B.-W. Chang, B. Milch, S. Brin, World Wide Web 8 (2005) 101–126.
date_created: 2022-08-17T11:16:56Z
date_published: 2005-06-01T00:00:00Z
date_updated: 2023-02-21T16:30:56Z
day: '01'
doi: 10.1007/s11280-004-4870-6
extern: '1'
intvolume: '         8'
issue: '2'
language:
- iso: eng
month: '06'
oa_version: None
page: 101-126
publication: World Wide Web
publication_identifier:
  eissn:
  - 1573-1413
  issn:
  - 1386-145X
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
  record:
  - id: '11860'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: Query-free news search
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 8
year: '2005'
...
---
_id: '210'
abstract:
- lang: eng
  text: Harold Davenport was one of the truly great mathematicians of the twentieth
    century. Based on lectures he gave at the University of Michigan in the early
    1960s, this book is concerned with the use of analytic methods in the study of
    integer solutions to Diophantine equations and Diophantine inequalities. It provides
    an excellent introduction to a timeless area of number theory that is still as
    widely researched today as it was when the book originally appeared. The three
    main themes of the book are Waring's problem and the representation of integers
    by diagonal forms, the solubility in integers of systems of forms in many variables,
    and the solubility in integers of diagonal inequalities. For the second edition
    of the book a comprehensive foreword has been added in which three prominent authorities
    describe the modern context and recent developments. A thorough bibliography has
    also been added.
alternative_title:
- Cambridge Mathematical Library
article_processing_charge: No
author:
- first_name: Harold
  full_name: Davenport, Harold
  last_name: Davenport
- 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: Davenport H, Browning TD. <i>Analytic Methods for Diophantine Equations and
    Diophantine Inequalities</i>. Cambridge University Press; 2005. doi:<a href="https://doi.org/10.1017/CBO9780511542893">10.1017/CBO9780511542893</a>
  apa: Davenport, H., &#38; Browning, T. D. (2005). <i>Analytic Methods for Diophantine
    Equations and Diophantine Inequalities</i>. Cambridge University Press. <a href="https://doi.org/10.1017/CBO9780511542893">https://doi.org/10.1017/CBO9780511542893</a>
  chicago: Davenport, Harold, and Timothy D Browning. <i>Analytic Methods for Diophantine
    Equations and Diophantine Inequalities</i>. Cambridge University Press, 2005.
    <a href="https://doi.org/10.1017/CBO9780511542893">https://doi.org/10.1017/CBO9780511542893</a>.
  ieee: H. Davenport and T. D. Browning, <i>Analytic Methods for Diophantine Equations
    and Diophantine Inequalities</i>. Cambridge University Press, 2005.
  ista: Davenport H, Browning TD. 2005. Analytic Methods for Diophantine Equations
    and Diophantine Inequalities, Cambridge University Press, 140p.
  mla: Davenport, Harold, and Timothy D. Browning. <i>Analytic Methods for Diophantine
    Equations and Diophantine Inequalities</i>. Cambridge University Press, 2005,
    doi:<a href="https://doi.org/10.1017/CBO9780511542893">10.1017/CBO9780511542893</a>.
  short: H. Davenport, T.D. Browning, Analytic Methods for Diophantine Equations and
    Diophantine Inequalities, Cambridge University Press, 2005.
date_created: 2018-12-11T11:45:13Z
date_published: 2005-03-03T00:00:00Z
date_updated: 2021-12-21T11:02:25Z
day: '03'
doi: 10.1017/CBO9780511542893
extern: '1'
language:
- iso: eng
month: '03'
oa_version: None
page: '140'
publication_identifier:
  eisbn:
  - 9-780-5115-4289-3
publication_status: published
publisher: Cambridge University Press
publist_id: '7702'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Analytic Methods for Diophantine Equations and Diophantine Inequalities
type: book
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2005'
...
---
_id: '211'
abstract:
- lang: eng
  text: Let f ∈ ℤ[x] be a polynomial of degree d. The paucity of non-trivial positive
    integer solutions to the equation f(x1)+f(x 2)=f(x3)+f(x4) is established, provided
    that d ≤ 7$. Also the corresponding situation is investigated for equal sums of
    three like polynomials.
acknowledgement: grant number GR/R93155/01
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. Equal sums of like polynomials. <i>Bulletin of the London Mathematical
    Society</i>. 2005;37(6):801-808. doi:<a href="https://doi.org/10.1112/S0024609305004741">10.1112/S0024609305004741</a>
  apa: Browning, T. D. (2005). Equal sums of like polynomials. <i>Bulletin of the
    London Mathematical Society</i>. John Wiley and Sons Ltd. <a href="https://doi.org/10.1112/S0024609305004741">https://doi.org/10.1112/S0024609305004741</a>
  chicago: Browning, Timothy D. “Equal Sums of like Polynomials.” <i>Bulletin of the
    London Mathematical Society</i>. John Wiley and Sons Ltd, 2005. <a href="https://doi.org/10.1112/S0024609305004741">https://doi.org/10.1112/S0024609305004741</a>.
  ieee: T. D. Browning, “Equal sums of like polynomials,” <i>Bulletin of the London
    Mathematical Society</i>, vol. 37, no. 6. John Wiley and Sons Ltd, pp. 801–808,
    2005.
  ista: Browning TD. 2005. Equal sums of like polynomials. Bulletin of the London
    Mathematical Society. 37(6), 801–808.
  mla: Browning, Timothy D. “Equal Sums of like Polynomials.” <i>Bulletin of the London
    Mathematical Society</i>, vol. 37, no. 6, John Wiley and Sons Ltd, 2005, pp. 801–08,
    doi:<a href="https://doi.org/10.1112/S0024609305004741">10.1112/S0024609305004741</a>.
  short: T.D. Browning, Bulletin of the London Mathematical Society 37 (2005) 801–808.
date_created: 2018-12-11T11:45:14Z
date_published: 2005-12-01T00:00:00Z
date_updated: 2021-01-12T06:55:22Z
day: '01'
doi: 10.1112/S0024609305004741
extern: 1
intvolume: '        37'
issue: '6'
month: '12'
page: 801 - 808
publication: Bulletin of the London Mathematical Society
publication_status: published
publisher: John Wiley and Sons Ltd
publist_id: '7700'
quality_controlled: 0
status: public
title: Equal sums of like polynomials
type: journal_article
volume: 37
year: '2005'
...
---
_id: '212'
abstract:
- lang: eng
  text: For any n ≧ 2, let F ∈ ℤ [ x 1, … , xn ] be a form of degree d≧ 2, which produces
    a geometrically irreducible hypersurface in ℙn–1. This paper is concerned with
    the number N(F;B) of rational points on F = 0 which have height at most B. For
    any ε &gt; 0 we establish the estimate N(F; B) = O(B n− 2+ ε ), whenever either
    n ≦ 5 or the hypersurface is not a union of lines. Here the implied constant depends
    at most upon d, n and ε.
author:
- first_name: Timothy D
  full_name: Timothy Browning
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
- first_name: Roger
  full_name: Heath-Brown, Roger
  last_name: Heath Brown
citation:
  ama: Browning TD, Heath Brown R. Counting rational points on hypersurfaces. <i>Journal
    fur die Reine und Angewandte Mathematik</i>. 2005;(584):83-115. doi:<a href="https://doi.org/10.1515/crll.2005.2005.584.83">https://doi.org/10.1515/crll.2005.2005.584.83</a>
  apa: Browning, T. D., &#38; Heath Brown, R. (2005). Counting rational points on
    hypersurfaces. <i>Journal Fur Die Reine Und Angewandte Mathematik</i>. Walter
    de Gruyter and Co . <a href="https://doi.org/10.1515/crll.2005.2005.584.83">https://doi.org/10.1515/crll.2005.2005.584.83</a>
  chicago: Browning, Timothy D, and Roger Heath Brown. “Counting Rational Points on
    Hypersurfaces.” <i>Journal Fur Die Reine Und Angewandte Mathematik</i>. Walter
    de Gruyter and Co , 2005. <a href="https://doi.org/10.1515/crll.2005.2005.584.83">https://doi.org/10.1515/crll.2005.2005.584.83</a>.
  ieee: T. D. Browning and R. Heath Brown, “Counting rational points on hypersurfaces,”
    <i>Journal fur die Reine und Angewandte Mathematik</i>, no. 584. Walter de Gruyter
    and Co , pp. 83–115, 2005.
  ista: Browning TD, Heath Brown R. 2005. Counting rational points on hypersurfaces.
    Journal fur die Reine und Angewandte Mathematik. (584), 83–115.
  mla: Browning, Timothy D., and Roger Heath Brown. “Counting Rational Points on Hypersurfaces.”
    <i>Journal Fur Die Reine Und Angewandte Mathematik</i>, no. 584, Walter de Gruyter
    and Co , 2005, pp. 83–115, doi:<a href="https://doi.org/10.1515/crll.2005.2005.584.83">https://doi.org/10.1515/crll.2005.2005.584.83</a>.
  short: T.D. Browning, R. Heath Brown, Journal Fur Die Reine Und Angewandte Mathematik
    (2005) 83–115.
date_created: 2018-12-11T11:45:14Z
date_published: 2005-11-26T00:00:00Z
date_updated: 2021-01-12T06:55:25Z
day: '26'
doi: https://doi.org/10.1515/crll.2005.2005.584.83
extern: 1
issue: '584'
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/0707.2296
month: '11'
oa: 1
page: 83 - 115
publication: Journal fur die Reine und Angewandte Mathematik
publication_status: published
publisher: 'Walter de Gruyter and Co '
publist_id: '7701'
quality_controlled: 0
status: public
title: Counting rational points on hypersurfaces
type: journal_article
year: '2005'
...
---
_id: '214'
abstract:
- lang: eng
  text: Given an absolutely irreducible ternary form F, the purpose of this paper
    is to produce better upper bounds for the number of integer solutions to the equation
    F=0, that are restricted to lie in very lopsided boxes. As an application of the
    main result, a new paucity estimate is obtained for equal sums of two like powers.
author:
- first_name: Timothy D
  full_name: Timothy Browning
  id: 35827D50-F248-11E8-B48F-1D18A9856A87
  last_name: Browning
  orcid: 0000-0002-8314-0177
- first_name: Roger
  full_name: Heath-Brown, Roger
  last_name: Heath Brown
citation:
  ama: Browning TD, Heath Brown R. Plane curves in boxes and equal sums of two powers.
    <i>Mathematische Zeitschrift</i>. 2005;251(2):233-247. doi:<a href="https://doi.org/10.1007/s00209-004-0719-z">10.1007/s00209-004-0719-z</a>
  apa: Browning, T. D., &#38; Heath Brown, R. (2005). Plane curves in boxes and equal
    sums of two powers. <i>Mathematische Zeitschrift</i>. Unknown. <a href="https://doi.org/10.1007/s00209-004-0719-z">https://doi.org/10.1007/s00209-004-0719-z</a>
  chicago: Browning, Timothy D, and Roger Heath Brown. “Plane Curves in Boxes and
    Equal Sums of Two Powers.” <i>Mathematische Zeitschrift</i>. Unknown, 2005. <a
    href="https://doi.org/10.1007/s00209-004-0719-z">https://doi.org/10.1007/s00209-004-0719-z</a>.
  ieee: T. D. Browning and R. Heath Brown, “Plane curves in boxes and equal sums of
    two powers,” <i>Mathematische Zeitschrift</i>, vol. 251, no. 2. Unknown, pp. 233–247,
    2005.
  ista: Browning TD, Heath Brown R. 2005. Plane curves in boxes and equal sums of
    two powers. Mathematische Zeitschrift. 251(2), 233–247.
  mla: Browning, Timothy D., and Roger Heath Brown. “Plane Curves in Boxes and Equal
    Sums of Two Powers.” <i>Mathematische Zeitschrift</i>, vol. 251, no. 2, Unknown,
    2005, pp. 233–47, doi:<a href="https://doi.org/10.1007/s00209-004-0719-z">10.1007/s00209-004-0719-z</a>.
  short: T.D. Browning, R. Heath Brown, Mathematische Zeitschrift 251 (2005) 233–247.
date_created: 2018-12-11T11:45:15Z
date_published: 2005-09-01T00:00:00Z
date_updated: 2021-01-12T06:55:33Z
day: '01'
doi: 10.1007/s00209-004-0719-z
extern: 1
intvolume: '       251'
issue: '2'
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/math/0506497
month: '09'
oa: 1
page: 233 - 247
publication: Mathematische Zeitschrift
publication_status: published
publisher: Unknown
publist_id: '7699'
quality_controlled: 0
status: public
title: Plane curves in boxes and equal sums of two powers
type: journal_article
volume: 251
year: '2005'
...
---
_id: '217'
abstract:
- lang: eng
  text: We show that the number of nontrivial rational points of height at most B,
    which lie on the cubic surface x1 x2 x3 = x4 (x1 + x2 + x3)2, has order of magnitude
    B (log B)6. This agrees with Manin's conjecture.
acknowledgement: EPSRC GR/R93155/01
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. The density of rational points on a certain singular cubic surface.
    <i>Journal of Number Theory</i>. 2005;119(2):242-283. doi:<a href="https://doi.org/10.1016/j.jnt.2005.11.007">10.1016/j.jnt.2005.11.007</a>
  apa: Browning, T. D. (2005). The density of rational points on a certain singular
    cubic surface. <i>Journal of Number Theory</i>. Elsevier. <a href="https://doi.org/10.1016/j.jnt.2005.11.007">https://doi.org/10.1016/j.jnt.2005.11.007</a>
  chicago: Browning, Timothy D. “The Density of Rational Points on a Certain Singular
    Cubic Surface.” <i>Journal of Number Theory</i>. Elsevier, 2005. <a href="https://doi.org/10.1016/j.jnt.2005.11.007">https://doi.org/10.1016/j.jnt.2005.11.007</a>.
  ieee: T. D. Browning, “The density of rational points on a certain singular cubic
    surface,” <i>Journal of Number Theory</i>, vol. 119, no. 2. Elsevier, pp. 242–283,
    2005.
  ista: Browning TD. 2005. The density of rational points on a certain singular cubic
    surface. Journal of Number Theory. 119(2), 242–283.
  mla: Browning, Timothy D. “The Density of Rational Points on a Certain Singular
    Cubic Surface.” <i>Journal of Number Theory</i>, vol. 119, no. 2, Elsevier, 2005,
    pp. 242–83, doi:<a href="https://doi.org/10.1016/j.jnt.2005.11.007">10.1016/j.jnt.2005.11.007</a>.
  short: T.D. Browning, Journal of Number Theory 119 (2005) 242–283.
date_created: 2018-12-11T11:45:16Z
date_published: 2005-12-27T00:00:00Z
date_updated: 2021-01-12T06:55:45Z
day: '27'
doi: 10.1016/j.jnt.2005.11.007
extern: 1
intvolume: '       119'
issue: '2'
month: '12'
page: 242 - 283
publication: Journal of Number Theory
publication_status: published
publisher: Elsevier
publist_id: '7695'
quality_controlled: 0
status: public
title: The density of rational points on a certain singular cubic surface
type: journal_article
volume: 119
year: '2005'
...
---
_id: '2307'
abstract:
- lang: eng
  text: The human norepinephrine (NE) transporter (hNET) attenuates neuronal signaling
    by rapid NE clearance from the synaptic cleft, and NET is a target for cocaine
    and amphetamines as well as therapeutics for depression, obsessive-compulsive
    disorder, and post-traumatic stress disorder. In spite of its central importance
    in the nervous system, little is known about how NET substrates, such as NE, 1-methyl-4-tetrahydropyridinium
    (MPP+), or amphetamine, interact with NET at the molecular level. Nor do we understand
    the mechanisms behind the transport rate. Previously we introduced a fluorescent
    substrate similar to MPP+, which allowed separate and simultaneous binding and
    transport measurement (Schwartz, J. W., Blakely, R. D., and DeFelice, L. J. (2003)
    J. Biol. Chem. 278, 9768-9777). Here we use this substrate, 4-(4-(dimethylamino)styrl)-N-methyl-pyridinium
    (ASP+), in combination with green fluorescent protein-tagged hNETs to measure
    substrate-transporter stoichiometry and substrate binding kinetics. Calibrated
    confocal microscopy and fluorescence correlation spectroscopy reveal that hNETs,
    which are homo-multimers, bind one substrate molecule per transporter subunit.
    Substrate residence at the transporter, obtained from rapid on-off kinetics revealed
    in fluorescence correlation spectroscopy, is 526 μs. Substrate residence obtained
    by infinite dilution is 1000 times slower. This novel examination of substrate-transporter
    kinetics indicates that a single ASP + molecule binds and unbinds thousands of
    times before being transported or ultimately dissociated from hNET. Calibrated
    fluorescent images combined with mass spectroscopy give a transport rate of 0.06
    ASP +/hNET-protein/s, thus 36,000 on-off binding events (and 36 actual departures)
    occur for one transport event. Therefore binding has a low probability of resulting
    in transport. We interpret these data to mean that inefficient binding could contribute
    to slow transport rates.
author:
- first_name: Joel
  full_name: Schwartz, Joel W
  last_name: Schwartz
- first_name: Gaia
  full_name: Gaia Novarino
  id: 3E57A680-F248-11E8-B48F-1D18A9856A87
  last_name: Novarino
  orcid: 0000-0002-7673-7178
- first_name: David
  full_name: Piston, David W
  last_name: Piston
- first_name: Louis
  full_name: DeFelice, Louis J
  last_name: Defelice
citation:
  ama: Schwartz J, Novarino G, Piston D, Defelice L. Substrate binding stoichiometry
    and kinetics of the norepinephrine transporter. <i>Journal of Biological Chemistry</i>.
    2005;280(19):19177-19184. doi:<a href="https://doi.org/10.1074/jbc.M412923200">10.1074/jbc.M412923200</a>
  apa: Schwartz, J., Novarino, G., Piston, D., &#38; Defelice, L. (2005). Substrate
    binding stoichiometry and kinetics of the norepinephrine transporter. <i>Journal
    of Biological Chemistry</i>. American Society for Biochemistry and Molecular Biology.
    <a href="https://doi.org/10.1074/jbc.M412923200">https://doi.org/10.1074/jbc.M412923200</a>
  chicago: Schwartz, Joel, Gaia Novarino, David Piston, and Louis Defelice. “Substrate
    Binding Stoichiometry and Kinetics of the Norepinephrine Transporter.” <i>Journal
    of Biological Chemistry</i>. American Society for Biochemistry and Molecular Biology,
    2005. <a href="https://doi.org/10.1074/jbc.M412923200">https://doi.org/10.1074/jbc.M412923200</a>.
  ieee: J. Schwartz, G. Novarino, D. Piston, and L. Defelice, “Substrate binding stoichiometry
    and kinetics of the norepinephrine transporter,” <i>Journal of Biological Chemistry</i>,
    vol. 280, no. 19. American Society for Biochemistry and Molecular Biology, pp.
    19177–19184, 2005.
  ista: Schwartz J, Novarino G, Piston D, Defelice L. 2005. Substrate binding stoichiometry
    and kinetics of the norepinephrine transporter. Journal of Biological Chemistry.
    280(19), 19177–19184.
  mla: Schwartz, Joel, et al. “Substrate Binding Stoichiometry and Kinetics of the
    Norepinephrine Transporter.” <i>Journal of Biological Chemistry</i>, vol. 280,
    no. 19, American Society for Biochemistry and Molecular Biology, 2005, pp. 19177–84,
    doi:<a href="https://doi.org/10.1074/jbc.M412923200">10.1074/jbc.M412923200</a>.
  short: J. Schwartz, G. Novarino, D. Piston, L. Defelice, Journal of Biological Chemistry
    280 (2005) 19177–19184.
date_created: 2018-12-11T11:56:54Z
date_published: 2005-05-13T00:00:00Z
date_updated: 2021-01-12T06:56:40Z
day: '13'
doi: 10.1074/jbc.M412923200
extern: 1
intvolume: '       280'
issue: '19'
month: '05'
page: 19177 - 19184
publication: Journal of Biological Chemistry
publication_status: published
publisher: American Society for Biochemistry and Molecular Biology
publist_id: '4619'
quality_controlled: 0
status: public
title: Substrate binding stoichiometry and kinetics of the norepinephrine transporter
type: journal_article
volume: 280
year: '2005'
...
---
_id: '2335'
abstract:
- lang: eng
  text: This book contains a unique survey of the mathematically rigorous results
    about the quantum-mechanical many-body problem that have been obtained by the
    authors in the past seven years. It addresses a topic that is not only rich mathematically,
    using a large variety of techniques in mathematical analysis, but is also one
    with strong ties to current experiments on ultra-cold Bose gases and Bose-Einstein
    condensation. The book provides a pedagogical entry into an active area of ongoing
    research for both graduate students and researchers. It is an outgrowth of a course
    given by the authors for graduate students and post-doctoral researchers at the
    Oberwolfach Research Institute in 2004. The book also provides a coherent summary
    of the field and a reference for mathematicians and physicists active in research
    on quantum mechanics.
alternative_title:
- Oberwolfach Seminars
article_processing_charge: No
arxiv: 1
author:
- first_name: Élliott
  full_name: Lieb, Élliott
  last_name: Lieb
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
- first_name: Jan
  full_name: Solovej, Jan
  last_name: Solovej
- first_name: Jakob
  full_name: Yngvason, Jakob
  last_name: Yngvason
citation:
  ama: 'Lieb É, Seiringer R, Solovej J, Yngvason J. <i>The Mathematics of the Bose
    Gas and Its Condensation</i>. Vol 34. Basel ; Berlin: Birkhäuser Verlag; 2005.
    doi:<a href="https://doi.org/10.1007/b137508">10.1007/b137508</a>'
  apa: 'Lieb, É., Seiringer, R., Solovej, J., &#38; Yngvason, J. (2005). <i>The Mathematics
    of the Bose gas and its Condensation</i> (Vol. 34). Basel ; Berlin: Birkhäuser
    Verlag. <a href="https://doi.org/10.1007/b137508">https://doi.org/10.1007/b137508</a>'
  chicago: 'Lieb, Élliott, Robert Seiringer, Jan Solovej, and Jakob Yngvason. <i>The
    Mathematics of the Bose Gas and Its Condensation</i>. Vol. 34. Basel ; Berlin:
    Birkhäuser Verlag, 2005. <a href="https://doi.org/10.1007/b137508">https://doi.org/10.1007/b137508</a>.'
  ieee: 'É. Lieb, R. Seiringer, J. Solovej, and J. Yngvason, <i>The Mathematics of
    the Bose gas and its Condensation</i>, vol. 34. Basel ; Berlin: Birkhäuser Verlag,
    2005.'
  ista: 'Lieb É, Seiringer R, Solovej J, Yngvason J. 2005. The Mathematics of the
    Bose gas and its Condensation, Basel ; Berlin: Birkhäuser Verlag, VIII, 203p.'
  mla: Lieb, Élliott, et al. <i>The Mathematics of the Bose Gas and Its Condensation</i>.
    Vol. 34, Birkhäuser Verlag, 2005, doi:<a href="https://doi.org/10.1007/b137508">10.1007/b137508</a>.
  short: É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, The Mathematics of the Bose
    Gas and Its Condensation, Birkhäuser Verlag, Basel ; Berlin, 2005.
date_created: 2018-12-11T11:57:03Z
date_published: 2005-01-01T00:00:00Z
date_updated: 2021-12-22T08:04:00Z
day: '01'
doi: 10.1007/b137508
extern: '1'
external_id:
  arxiv:
  - cond-mat/0610117
intvolume: '        34'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/cond-mat/0610117
month: '01'
oa: 1
oa_version: Preprint
page: VIII, 203
place: Basel ; Berlin
publication_identifier:
  isbn:
  - 978-3-7643-7336-8
publication_status: published
publisher: Birkhäuser Verlag
publist_id: '4591'
quality_controlled: '1'
status: public
title: The Mathematics of the Bose gas and its Condensation
type: book
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 34
year: '2005'
...
---
_id: '2336'
abstract:
- lang: eng
  text: |2-


    Now that the low temperature properties of quantum-mechanical many-body systems (bosons) at low density, ρ, can be examined experimentally it is appropriate to revisit some of the formulas deduced by many authors 4–5 decades ago, and to explore new regimes not treated before. For systems with repulsive (i.e. positive) interaction potentials the experimental low temperature state and the ground state are effectively synonymous — and this fact is used in all modeling. In such cases, the leading term in the energy/particle is 2πħ2 aρ/m where a is the scattering length of the two-body potential. Owing to the delicate and peculiar nature of bosonic correlations (such as the strange N 7/5 law for charged bosons), four decades of research failed to establish this plausible formula rigorously. The only previous lower bound for the energy was found by Dyson in 1957, but it was 14 times too small. The correct asymptotic formula has been obtained by us and this work will be presented. The reason behind the mathematical difficulties will be emphasized. A different formula, postulated as late as 1971 by Schick, holds in two dimensions and this, too, will be shown to be correct. With the aid of the methodology developed to prove the lower bound for the homogeneous gas, several other problems have been successfully addressed. One is the proof by us that the Gross-Pitaevskii equation correctly describes the ground state in the ‘traps’ actually used in the experiments. For this system it is also possible to prove complete Bose condensation and superfluidity as we have shown. On the frontier of experimental developments is the possibility that a dilute gas in an elongated trap will behave like a one-dimensional system; we have proved this mathematically. Another topic is a proof that Foldy’s 1961 theory of a high density Bose gas of charged particles correctly describes its ground state energy; using this we can also prove the N 7/5 formula for the ground state energy of the two-component charged Bose gas proposed by Dyson in 1967. All of this is quite recent work and it is hoped that the mathematical methodology might be useful, ultimately, to solve more complex problems connected with these interesting systems.
alternative_title:
- Mathematical Physics Studies
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: Jan
  full_name: Solovej, Jan P
  last_name: Solovej
- first_name: Jakob
  full_name: Yngvason, Jakob
  last_name: Yngvason
citation:
  ama: 'Lieb É, Seiringer R, Solovej J, Yngvason J. The quantum-mechanical many-body
    problem: The Bose gas. In: Benedicks M, Jones P, Smirnov S, Winckler B, eds. <i>Perspectives
    in Analysis</i>. Vol 27. Springer; 2005:97-183. doi:<a href="https://doi.org/10.1007/3-540-30434-7_9">10.1007/3-540-30434-7_9</a>'
  apa: 'Lieb, É., Seiringer, R., Solovej, J., &#38; Yngvason, J. (2005). The quantum-mechanical
    many-body problem: The Bose gas. In M. Benedicks, P. Jones, S. Smirnov, &#38;
    B. Winckler (Eds.), <i>Perspectives in Analysis</i> (Vol. 27, pp. 97–183). Springer.
    <a href="https://doi.org/10.1007/3-540-30434-7_9">https://doi.org/10.1007/3-540-30434-7_9</a>'
  chicago: 'Lieb, Élliott, Robert Seiringer, Jan Solovej, and Jakob Yngvason. “The
    Quantum-Mechanical Many-Body Problem: The Bose Gas.” In <i>Perspectives in Analysis</i>,
    edited by Michael Benedicks, Peter Jones, Stanislav Smirnov, and Björn Winckler,
    27:97–183. Springer, 2005. <a href="https://doi.org/10.1007/3-540-30434-7_9">https://doi.org/10.1007/3-540-30434-7_9</a>.'
  ieee: 'É. Lieb, R. Seiringer, J. Solovej, and J. Yngvason, “The quantum-mechanical
    many-body problem: The Bose gas,” in <i>Perspectives in Analysis</i>, vol. 27,
    M. Benedicks, P. Jones, S. Smirnov, and B. Winckler, Eds. Springer, 2005, pp.
    97–183.'
  ista: 'Lieb É, Seiringer R, Solovej J, Yngvason J. 2005.The quantum-mechanical many-body
    problem: The Bose gas. In: Perspectives in Analysis. Mathematical Physics Studies,
    vol. 27, 97–183.'
  mla: 'Lieb, Élliott, et al. “The Quantum-Mechanical Many-Body Problem: The Bose
    Gas.” <i>Perspectives in Analysis</i>, edited by Michael Benedicks et al., vol.
    27, Springer, 2005, pp. 97–183, doi:<a href="https://doi.org/10.1007/3-540-30434-7_9">10.1007/3-540-30434-7_9</a>.'
  short: É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, in:, M. Benedicks, P. Jones,
    S. Smirnov, B. Winckler (Eds.), Perspectives in Analysis, Springer, 2005, pp.
    97–183.
date_created: 2018-12-11T11:57:04Z
date_published: 2005-01-01T00:00:00Z
date_updated: 2021-01-12T06:56:52Z
day: '01'
doi: 10.1007/3-540-30434-7_9
editor:
- first_name: Michael
  full_name: Benedicks, Michael
  last_name: Benedicks
- first_name: Peter
  full_name: Jones, Peter W
  last_name: Jones
- first_name: Stanislav
  full_name: Smirnov, Stanislav
  last_name: Smirnov
- first_name: Björn
  full_name: Winckler, Björn
  last_name: Winckler
extern: 1
intvolume: '        27'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/math-ph/0405004
month: '01'
oa: 1
page: 97 - 183
publication: Perspectives in Analysis
publication_status: published
publisher: Springer
publist_id: '4590'
quality_controlled: 0
status: public
title: 'The quantum-mechanical many-body problem: The Bose gas'
type: book_chapter
volume: 27
year: '2005'
...
---
_id: '2359'
abstract:
- lang: eng
  text: The validity of substituting a c-number z for the k = 0 mode operator a0 is
    established rigorously in full generality, thereby verifying one aspect of Bogoliubov's
    1947 theory. This substitution not only yields the correct value of thermodynamic
    quantities such as the pressure or ground state energy, but also the value of
    |z|2 that maximizes the partition function equals the true amount of condensation
    in the presence of a gauge-symmetry-breaking term. This point had previously been
    elusive.
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. Justification of c-number substitutions in
    bosonic hamiltonians. <i>Physical Review Letters</i>. 2005;94(8). doi:<a href="https://doi.org/10.1103/PhysRevLett.94.080401">10.1103/PhysRevLett.94.080401</a>
  apa: Lieb, É., Seiringer, R., &#38; Yngvason, J. (2005). Justification of c-number
    substitutions in bosonic hamiltonians. <i>Physical Review Letters</i>. American
    Physical Society. <a href="https://doi.org/10.1103/PhysRevLett.94.080401">https://doi.org/10.1103/PhysRevLett.94.080401</a>
  chicago: Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Justification of
    C-Number Substitutions in Bosonic Hamiltonians.” <i>Physical Review Letters</i>.
    American Physical Society, 2005. <a href="https://doi.org/10.1103/PhysRevLett.94.080401">https://doi.org/10.1103/PhysRevLett.94.080401</a>.
  ieee: É. Lieb, R. Seiringer, and J. Yngvason, “Justification of c-number substitutions
    in bosonic hamiltonians,” <i>Physical Review Letters</i>, vol. 94, no. 8. American
    Physical Society, 2005.
  ista: Lieb É, Seiringer R, Yngvason J. 2005. Justification of c-number substitutions
    in bosonic hamiltonians. Physical Review Letters. 94(8).
  mla: Lieb, Élliott, et al. “Justification of C-Number Substitutions in Bosonic Hamiltonians.”
    <i>Physical Review Letters</i>, vol. 94, no. 8, American Physical Society, 2005,
    doi:<a href="https://doi.org/10.1103/PhysRevLett.94.080401">10.1103/PhysRevLett.94.080401</a>.
  short: É. Lieb, R. Seiringer, J. Yngvason, Physical Review Letters 94 (2005).
date_created: 2018-12-11T11:57:12Z
date_published: 2005-03-04T00:00:00Z
date_updated: 2021-01-12T06:57:00Z
day: '04'
doi: 10.1103/PhysRevLett.94.080401
extern: 1
intvolume: '        94'
issue: '8'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/math-ph/0412023
month: '03'
oa: 1
publication: Physical Review Letters
publication_status: published
publisher: American Physical Society
publist_id: '4566'
quality_controlled: 0
status: public
title: Justification of c-number substitutions in bosonic hamiltonians
type: journal_article
volume: 94
year: '2005'
...
---
_id: '2361'
abstract:
- lang: eng
  text: The strong subadditivity of entropy plays a key role in several areas of physics
    and mathematics. It states that the entropy S[±]=- Tr(Ï±lnÏ±) of a density matrix
    Ï±123 on the product of three Hilbert spaces satisfies S[Ï±123]- S[Ï±12]≤S[Ï±23]-S[Ï±2].
    We strengthen this to S[Ï±123]-S[Ï±12] ≤αnα(S[Ï±23α]-S[Ï±2α]), where the nα are
    weights and the Ï±23α are partitions of Ï±23. Correspondingly, there is a strengthening
    of the theorem that the map A|Trexp[L+lnA] is concave. As applications we prove
    some monotonicity and convexity properties of the Wehrl coherent state entropy
    and entropy inequalities for quantum gases.
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. Stronger subadditivity of entropy. <i>Physical Review
    A - Atomic, Molecular, and Optical Physics</i>. 2005;71(6). doi:<a href="https://doi.org/10.1103/PhysRevA.71.062329">10.1103/PhysRevA.71.062329</a>
  apa: Lieb, É., &#38; Seiringer, R. (2005). Stronger subadditivity of entropy. <i>Physical
    Review A - Atomic, Molecular, and Optical Physics</i>. American Physical Society.
    <a href="https://doi.org/10.1103/PhysRevA.71.062329">https://doi.org/10.1103/PhysRevA.71.062329</a>
  chicago: Lieb, Élliott, and Robert Seiringer. “Stronger Subadditivity of Entropy.”
    <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. American Physical
    Society, 2005. <a href="https://doi.org/10.1103/PhysRevA.71.062329">https://doi.org/10.1103/PhysRevA.71.062329</a>.
  ieee: É. Lieb and R. Seiringer, “Stronger subadditivity of entropy,” <i>Physical
    Review A - Atomic, Molecular, and Optical Physics</i>, vol. 71, no. 6. American
    Physical Society, 2005.
  ista: Lieb É, Seiringer R. 2005. Stronger subadditivity of entropy. Physical Review
    A - Atomic, Molecular, and Optical Physics. 71(6).
  mla: Lieb, Élliott, and Robert Seiringer. “Stronger Subadditivity of Entropy.” <i>Physical
    Review A - Atomic, Molecular, and Optical Physics</i>, vol. 71, no. 6, American
    Physical Society, 2005, doi:<a href="https://doi.org/10.1103/PhysRevA.71.062329">10.1103/PhysRevA.71.062329</a>.
  short: É. Lieb, R. Seiringer, Physical Review A - Atomic, Molecular, and Optical
    Physics 71 (2005).
date_created: 2018-12-11T11:57:13Z
date_published: 2005-06-01T00:00:00Z
date_updated: 2021-01-12T06:57:01Z
day: '01'
doi: 10.1103/PhysRevA.71.062329
extern: 1
intvolume: '        71'
issue: '6'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/math-ph/0412009
month: '06'
oa: 1
publication: Physical Review A - Atomic, Molecular, and Optical Physics
publication_status: published
publisher: American Physical Society
publist_id: '4564'
quality_controlled: 0
status: public
title: Stronger subadditivity of entropy
type: journal_article
volume: 71
year: '2005'
...
