---
_id: '18418'
abstract:
- lang: eng
  text: In this correspondence, we consider the problem of multi-input multi output
    (MIMO) quasi maximum likelihood (QML) blind deconvolution. We examine two classes
    of estimators, which are commonly believed to be suitable for super and sub-Gaussian
    sources. We state the consistency conditions and demonstrate a source distribution,
    for which the studied estimators are unsuitable, in the sense that they are inconsistent.
article_processing_charge: No
author:
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
- first_name: M.M.
  full_name: Bronstein, M.M.
  last_name: Bronstein
- first_name: M.
  full_name: Zibulevsky, M.
  last_name: Zibulevsky
citation:
  ama: 'Bronstein AM, Bronstein MM, Zibulevsky M. Quasi maximum likelihood MIMO blind
    deconvolution: Super- and sub-Gaussianity versus consistency. <i>IEEE Transactions
    on Signal Processing</i>. 2005;53(7):2576-2579. doi:<a href="https://doi.org/10.1109/tsp.2005.849221">10.1109/tsp.2005.849221</a>'
  apa: 'Bronstein, A. M., Bronstein, M. M., &#38; Zibulevsky, M. (2005). Quasi maximum
    likelihood MIMO blind deconvolution: Super- and sub-Gaussianity versus consistency.
    <i>IEEE Transactions on Signal Processing</i>. Institute of Electrical and Electronics
    Engineers (IEEE). <a href="https://doi.org/10.1109/tsp.2005.849221">https://doi.org/10.1109/tsp.2005.849221</a>'
  chicago: 'Bronstein, Alex M., M.M. Bronstein, and M. Zibulevsky. “Quasi Maximum
    Likelihood MIMO Blind Deconvolution: Super- and Sub-Gaussianity versus Consistency.”
    <i>IEEE Transactions on Signal Processing</i>. Institute of Electrical and Electronics
    Engineers (IEEE), 2005. <a href="https://doi.org/10.1109/tsp.2005.849221">https://doi.org/10.1109/tsp.2005.849221</a>.'
  ieee: 'A. M. Bronstein, M. M. Bronstein, and M. Zibulevsky, “Quasi maximum likelihood
    MIMO blind deconvolution: Super- and sub-Gaussianity versus consistency,” <i>IEEE
    Transactions on Signal Processing</i>, vol. 53, no. 7. Institute of Electrical
    and Electronics Engineers (IEEE), pp. 2576–2579, 2005.'
  ista: 'Bronstein AM, Bronstein MM, Zibulevsky M. 2005. Quasi maximum likelihood
    MIMO blind deconvolution: Super- and sub-Gaussianity versus consistency. IEEE
    Transactions on Signal Processing. 53(7), 2576–2579.'
  mla: 'Bronstein, Alex M., et al. “Quasi Maximum Likelihood MIMO Blind Deconvolution:
    Super- and Sub-Gaussianity versus Consistency.” <i>IEEE Transactions on Signal
    Processing</i>, vol. 53, no. 7, Institute of Electrical and Electronics Engineers
    (IEEE), 2005, pp. 2576–79, doi:<a href="https://doi.org/10.1109/tsp.2005.849221">10.1109/tsp.2005.849221</a>.'
  short: A.M. Bronstein, M.M. Bronstein, M. Zibulevsky, IEEE Transactions on Signal
    Processing 53 (2005) 2576–2579.
date_created: 2024-10-15T11:20:55Z
date_published: 2005-06-20T00:00:00Z
date_updated: 2024-12-12T12:11:49Z
day: '20'
doi: 10.1109/tsp.2005.849221
extern: '1'
intvolume: '        53'
issue: '7'
language:
- iso: eng
month: '06'
oa_version: None
page: 2576-2579
publication: IEEE Transactions on Signal Processing
publication_identifier:
  eissn:
  - 1941-0476
  issn:
  - 1053-587X
publication_status: published
publisher: Institute of Electrical and Electronics Engineers (IEEE)
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Quasi maximum likelihood MIMO blind deconvolution: Super- and sub-Gaussianity
  versus consistency'
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 53
year: '2005'
...
---
OA_place: publisher
OA_type: free access
_id: '18727'
abstract:
- lang: eng
  text: Gravitational lensing can amplify the apparent brightness of distant sources.
    Images that are highly magnified are often part of multiply imaged systems, but
    we consider the possibility of having large magnifications without additional
    detectable images. In rare but nonnegligible situations, lensing can produce a
    single highly magnified image; this phenomenon is mainly associated with massive
    cluster-scale halos (≳1013.5 M☉). Alternatively, lensing can produce multiply
    imaged systems in which the extra images are either unresolved or too faint to
    be detectable. This phenomenon is dominated by galaxies and lower mass halos (≲1012
    M☉) and is very sensitive to the inner density profile of the halos. Although
    we study the general problem, we customize our calculations to four quasars at
    redshift z ≈ 6 in the Sloan Digital Sky Survey (SDSS), for which Richards et al.
    (2004) have ruled out the presence of extra images down to an image splitting
    of Δθ = 0farcs3 and a flux ratio of f = 0.01. We predict that 9%-29% of all z
    ≈ 6 quasars that are magnified by a factor of μ > 10 would lack detectable extra
    images, with 5%-10% being true singly imaged systems. The maximum of 29% is reached
    only in the unlikely event that all low-mass (≲1010 M☉) halos have highly concentrated
    (isothermal) profiles. In more realistic models in which dwarf halos have flatter
    (Navarro-Frenk-White) inner profiles, the maximum probability is ~10%. We conclude
    that the probability that all four SDSS quasars are magnified by a factor of 10
    is ≲10-4. The only escape from this conclusion is if there are many (>10) multiply
    imaged z ≈ 6 quasars in the SDSS database that have not yet been identified, which
    seems unlikely. In other words, lensing cannot explain the brightnesses of the
    z ≈ 6 quasars, and models that invoke lensing to avoid having billion-solar-mass
    black holes in the young universe are not viable.
article_processing_charge: No
article_type: original
author:
- first_name: Charles R.
  full_name: Keeton, Charles R.
  last_name: Keeton
- first_name: Michael
  full_name: Kuhlen, Michael
  last_name: Kuhlen
- first_name: Zoltán
  full_name: Haiman, Zoltán
  id: 7c006e8c-cc0d-11ee-8322-cb904ef76f36
  last_name: Haiman
  orcid: 0000-0003-3633-5403
citation:
  ama: Keeton CR, Kuhlen M, Haiman Z. Gravitational lensing magnification without
    multiple imaging. <i>The Astrophysical Journal</i>. 2005;621(2):559-573. doi:<a
    href="https://doi.org/10.1086/427722">10.1086/427722</a>
  apa: Keeton, C. R., Kuhlen, M., &#38; Haiman, Z. (2005). Gravitational lensing magnification
    without multiple imaging. <i>The Astrophysical Journal</i>. American Astronomical
    Society. <a href="https://doi.org/10.1086/427722">https://doi.org/10.1086/427722</a>
  chicago: Keeton, Charles R., Michael Kuhlen, and Zoltán Haiman. “Gravitational Lensing
    Magnification without Multiple Imaging.” <i>The Astrophysical Journal</i>. American
    Astronomical Society, 2005. <a href="https://doi.org/10.1086/427722">https://doi.org/10.1086/427722</a>.
  ieee: C. R. Keeton, M. Kuhlen, and Z. Haiman, “Gravitational lensing magnification
    without multiple imaging,” <i>The Astrophysical Journal</i>, vol. 621, no. 2.
    American Astronomical Society, pp. 559–573, 2005.
  ista: Keeton CR, Kuhlen M, Haiman Z. 2005. Gravitational lensing magnification without
    multiple imaging. The Astrophysical Journal. 621(2), 559–573.
  mla: Keeton, Charles R., et al. “Gravitational Lensing Magnification without Multiple
    Imaging.” <i>The Astrophysical Journal</i>, vol. 621, no. 2, American Astronomical
    Society, 2005, pp. 559–73, doi:<a href="https://doi.org/10.1086/427722">10.1086/427722</a>.
  short: C.R. Keeton, M. Kuhlen, Z. Haiman, The Astrophysical Journal 621 (2005) 559–573.
date_created: 2025-01-03T12:23:39Z
date_published: 2005-03-10T00:00:00Z
date_updated: 2025-01-07T11:22:39Z
day: '10'
doi: 10.1086/427722
extern: '1'
intvolume: '       621'
issue: '2'
language:
- iso: eng
month: '03'
oa_version: None
page: 559-573
publication: The Astrophysical Journal
publication_identifier:
  eissn:
  - 1538-4357
  issn:
  - 0004-637X
publication_status: published
publisher: American Astronomical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Gravitational lensing magnification without multiple imaging
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 621
year: '2005'
...
---
OA_place: repository
OA_type: green
_id: '18728'
abstract:
- lang: eng
  text: We discuss currently available observational constraints on the reionization
    history of the intergalactic medium (IGM), and the extent to which accreting black
    holes (BHs) can help explain these observations. We show new evidence, based on
    the combined statistics of Lyman α and β absorption in quasar spectra, that the
    IGM contains a significant amount of neutral hydrogen, and is experiencing rapid
    ionization at redshift z~ 6. However, we argue that quasar BHs, even faint ones
    that are below the detection thresholds of existing optical surveys, are unlikely
    to drive the evolution of the neutral fraction around this epoch, because they
    would over–produce the present–day soft X–ray background. On the other hand, the
    seeds of the z~ 6 quasar BHs likely appeared at much earlier epochs (z~ 20), and
    produced hard ionizing radiation by accretion. These early BHs are promising candidates
    to account for the high redshift (z~ 15) ionization implied by the recent cosmic
    microwave anisotropy data from WMAP. Using a model for the growth of BHs by accretion
    and mergers in a hierarchical cosmology, we suggest that the early growth of quasars
    must include a super-Eddington growth phase, and that, although not yet optically
    identified, the FIRST radio survey may have already detected several thousand
    >108M⊙ BHs at z>6.
alternative_title:
- ESO Astrophysics Symposia
article_processing_charge: No
arxiv: 1
author:
- first_name: Zoltán
  full_name: Haiman, Zoltán
  id: 7c006e8c-cc0d-11ee-8322-cb904ef76f36
  last_name: Haiman
  orcid: 0000-0003-3633-5403
- first_name: M.
  full_name: Dijkstra, M.
  last_name: Dijkstra
- first_name: A.
  full_name: Mesinger, A.
  last_name: Mesinger
citation:
  ama: 'Haiman Z, Dijkstra M, Mesinger A. The growth of the earliest supermassive
    black holes and their contribution to reionization. In: <i>Proceedings of the
    MPA/ESO/MPE/USM Joint Astronomy Conference</i>. Springer Nature; 2005:30-41. doi:<a
    href="https://doi.org/10.1007/11403913_3">10.1007/11403913_3</a>'
  apa: 'Haiman, Z., Dijkstra, M., &#38; Mesinger, A. (2005). The growth of the earliest
    supermassive black holes and their contribution to reionization. In <i>Proceedings
    of the MPA/ESO/MPE/USM Joint Astronomy Conference</i> (pp. 30–41). Garching, Germany:
    Springer Nature. <a href="https://doi.org/10.1007/11403913_3">https://doi.org/10.1007/11403913_3</a>'
  chicago: Haiman, Zoltán, M. Dijkstra, and A. Mesinger. “The Growth of the Earliest
    Supermassive Black Holes and Their Contribution to Reionization.” In <i>Proceedings
    of the MPA/ESO/MPE/USM Joint Astronomy Conference</i>, 30–41. Springer Nature,
    2005. <a href="https://doi.org/10.1007/11403913_3">https://doi.org/10.1007/11403913_3</a>.
  ieee: Z. Haiman, M. Dijkstra, and A. Mesinger, “The growth of the earliest supermassive
    black holes and their contribution to reionization,” in <i>Proceedings of the
    MPA/ESO/MPE/USM Joint Astronomy Conference</i>, Garching, Germany, 2005, pp. 30–41.
  ista: Haiman Z, Dijkstra M, Mesinger A. 2005. The growth of the earliest supermassive
    black holes and their contribution to reionization. Proceedings of the MPA/ESO/MPE/USM
    Joint Astronomy Conference. MPA/ESO/MPE/USM Joint Astronomy Conference, ESO Astrophysics
    Symposia, , 30–41.
  mla: Haiman, Zoltán, et al. “The Growth of the Earliest Supermassive Black Holes
    and Their Contribution to Reionization.” <i>Proceedings of the MPA/ESO/MPE/USM
    Joint Astronomy Conference</i>, Springer Nature, 2005, pp. 30–41, doi:<a href="https://doi.org/10.1007/11403913_3">10.1007/11403913_3</a>.
  short: Z. Haiman, M. Dijkstra, A. Mesinger, in:, Proceedings of the MPA/ESO/MPE/USM
    Joint Astronomy Conference, Springer Nature, 2005, pp. 30–41.
conference:
  end_date: 2004-06-25
  location: Garching, Germany
  name: MPA/ESO/MPE/USM Joint Astronomy Conference
  start_date: 2004-06-21
date_created: 2025-01-03T12:24:03Z
date_published: 2005-12-22T00:00:00Z
date_updated: 2025-01-07T11:33:38Z
day: '22'
doi: 10.1007/11403913_3
extern: '1'
external_id:
  arxiv:
  - astro-ph/0409099
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/astro-ph/0409099
month: '12'
oa: 1
oa_version: Preprint
page: 30-41
publication: Proceedings of the MPA/ESO/MPE/USM Joint Astronomy Conference
publication_identifier:
  eissn:
  - 1611-6143
  isbn:
  - '9783540252757'
  issn:
  - 1431-2433
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: The growth of the earliest supermassive black holes and their contribution
  to reionization
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2005'
...
---
OA_place: repository
OA_type: green
_id: '18738'
abstract:
- lang: eng
  text: Gravitational lensing can amplify the apparent brightness of distant sources.
    Images that are highly magnified are often part of multiply imaged systems, but
    we consider the possibility of having large magnifications without additional
    detectable images. In rare but nonnegligible situations, lensing can produce a
    single highly magnified image; this phenomenon is mainly associated with massive
    cluster-scale halos (≳1013.5 M☉). Alternatively, lensing can produce multiply
    imaged systems in which the extra images are either unresolved or too faint to
    be detectable. This phenomenon is dominated by galaxies and lower mass halos (≲1012
    M☉) and is very sensitive to the inner density profile of the halos. Although
    we study the general problem, we customize our calculations to four quasars at
    redshift z ≈ 6 in the Sloan Digital Sky Survey (SDSS), for which Richards et al.
    (2004) have ruled out the presence of extra images down to an image splitting
    of Δθ = 0farcs3 and a flux ratio of f = 0.01. We predict that 9%-29% of all z
    ≈ 6 quasars that are magnified by a factor of μ > 10 would lack detectable extra
    images, with 5%-10% being true singly imaged systems. The maximum of 29% is reached
    only in the unlikely event that all low-mass (≲1010 M☉) halos have highly concentrated
    (isothermal) profiles. In more realistic models in which dwarf halos have flatter
    (Navarro-Frenk-White) inner profiles, the maximum probability is ~10%. We conclude
    that the probability that all four SDSS quasars are magnified by a factor of 10
    is ≲10-4. The only escape from this conclusion is if there are many (>10) multiply
    imaged z ≈ 6 quasars in the SDSS database that have not yet been identified, which
    seems unlikely. In other words, lensing cannot explain the brightnesses of the
    z ≈ 6 quasars, and models that invoke lensing to avoid having billion-solar-mass
    black holes in the young universe are not viable.
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Charles R.
  full_name: Keeton, Charles R.
  last_name: Keeton
- first_name: Michael
  full_name: Kuhlen, Michael
  last_name: Kuhlen
- first_name: Zoltán
  full_name: Haiman, Zoltán
  id: 7c006e8c-cc0d-11ee-8322-cb904ef76f36
  last_name: Haiman
  orcid: 0000-0003-3633-5403
citation:
  ama: Keeton CR, Kuhlen M, Haiman Z. Gravitational lensing magnification without
    multiple imaging. <i>The Astrophysical Journal</i>. 2005;621(2):559-573. doi:<a
    href="https://doi.org/10.1086/427722">10.1086/427722</a>
  apa: Keeton, C. R., Kuhlen, M., &#38; Haiman, Z. (2005). Gravitational lensing magnification
    without multiple imaging. <i>The Astrophysical Journal</i>. American Astronomical
    Society. <a href="https://doi.org/10.1086/427722">https://doi.org/10.1086/427722</a>
  chicago: Keeton, Charles R., Michael Kuhlen, and Zoltán Haiman. “Gravitational Lensing
    Magnification without Multiple Imaging.” <i>The Astrophysical Journal</i>. American
    Astronomical Society, 2005. <a href="https://doi.org/10.1086/427722">https://doi.org/10.1086/427722</a>.
  ieee: C. R. Keeton, M. Kuhlen, and Z. Haiman, “Gravitational lensing magnification
    without multiple imaging,” <i>The Astrophysical Journal</i>, vol. 621, no. 2.
    American Astronomical Society, pp. 559–573, 2005.
  ista: Keeton CR, Kuhlen M, Haiman Z. 2005. Gravitational lensing magnification without
    multiple imaging. The Astrophysical Journal. 621(2), 559–573.
  mla: Keeton, Charles R., et al. “Gravitational Lensing Magnification without Multiple
    Imaging.” <i>The Astrophysical Journal</i>, vol. 621, no. 2, American Astronomical
    Society, 2005, pp. 559–73, doi:<a href="https://doi.org/10.1086/427722">10.1086/427722</a>.
  short: C.R. Keeton, M. Kuhlen, Z. Haiman, The Astrophysical Journal 621 (2005) 559–573.
date_created: 2025-01-03T12:32:53Z
date_published: 2005-03-10T00:00:00Z
date_updated: 2025-01-07T13:05:57Z
day: '10'
doi: 10.1086/427722
extern: '1'
external_id:
  arxiv:
  - astro-ph/0405143
intvolume: '       621'
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://arxiv.org/abs/astro-ph/0405143
month: '03'
oa: 1
oa_version: Preprint
page: 559-573
publication: The Astrophysical Journal
publication_identifier:
  eissn:
  - 1538-4357
  issn:
  - 0004-637X
publication_status: published
publisher: American Astronomical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Gravitational lensing magnification without multiple imaging
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 621
year: '2005'
...
---
_id: '12657'
abstract:
- lang: eng
  text: An enhanced temperature-index glacier melt model, incorporating incoming shortwave
    radiation and albedo, is presented. The model is an attempt to combine the high
    temporal resolution and accuracy of physically based melt models with the lower
    data requirements and computational simplicity of empirical melt models, represented
    by the ‘degree-day’ method and its variants. The model is run with both measured
    and modelled radiation data, to test its applicability to glaciers with differing
    data availability. Five automatic weather stations were established on Haut Glacier
    d’Arolla, Switzerland, between May and September 2001. Reference surface melt
    rates were calculated using a physically based energy-balance melt model. The
    performance of the enhanced temperature-index model was tested at each of the
    four validation stations by comparing predicted hourly melt rates with reference
    melt rates. Predictions made with three other temperature-index models were evaluated
    in the same way for comparison. The enhanced temperature-index model offers significant
    improvements over the other temperature-index models, and accounts for 90–95%
    of the variation in the reference melt rate. The improvement is lower, but still
    significant, when the model is forced by modelled shortwave radiation data, thus
    offering a better alternative to existing models that require only temperature
    data input.
article_processing_charge: No
article_type: original
author:
- first_name: Francesca
  full_name: Pellicciotti, Francesca
  id: b28f055a-81ea-11ed-b70c-a9fe7f7b0e70
  last_name: Pellicciotti
  orcid: 0000-0002-5554-8087
- first_name: Ben
  full_name: Brock, Ben
  last_name: Brock
- first_name: Ulrich
  full_name: Strasser, Ulrich
  last_name: Strasser
- first_name: Paolo
  full_name: Burlando, Paolo
  last_name: Burlando
- first_name: Martin
  full_name: Funk, Martin
  last_name: Funk
- first_name: Javier
  full_name: Corripio, Javier
  last_name: Corripio
citation:
  ama: 'Pellicciotti F, Brock B, Strasser U, Burlando P, Funk M, Corripio J. An enhanced
    temperature-index glacier melt model including the shortwave radiation balance:
    Development and testing for Haut Glacier d’Arolla, Switzerland. <i>Journal of
    Glaciology</i>. 2005;51(175):573-587. doi:<a href="https://doi.org/10.3189/172756505781829124">10.3189/172756505781829124</a>'
  apa: 'Pellicciotti, F., Brock, B., Strasser, U., Burlando, P., Funk, M., &#38; Corripio,
    J. (2005). An enhanced temperature-index glacier melt model including the shortwave
    radiation balance: Development and testing for Haut Glacier d’Arolla, Switzerland.
    <i>Journal of Glaciology</i>. Cambridge University Press. <a href="https://doi.org/10.3189/172756505781829124">https://doi.org/10.3189/172756505781829124</a>'
  chicago: 'Pellicciotti, Francesca, Ben Brock, Ulrich Strasser, Paolo Burlando, Martin
    Funk, and Javier Corripio. “An Enhanced Temperature-Index Glacier Melt Model Including
    the Shortwave Radiation Balance: Development and Testing for Haut Glacier d’Arolla,
    Switzerland.” <i>Journal of Glaciology</i>. Cambridge University Press, 2005.
    <a href="https://doi.org/10.3189/172756505781829124">https://doi.org/10.3189/172756505781829124</a>.'
  ieee: 'F. Pellicciotti, B. Brock, U. Strasser, P. Burlando, M. Funk, and J. Corripio,
    “An enhanced temperature-index glacier melt model including the shortwave radiation
    balance: Development and testing for Haut Glacier d’Arolla, Switzerland,” <i>Journal
    of Glaciology</i>, vol. 51, no. 175. Cambridge University Press, pp. 573–587,
    2005.'
  ista: 'Pellicciotti F, Brock B, Strasser U, Burlando P, Funk M, Corripio J. 2005.
    An enhanced temperature-index glacier melt model including the shortwave radiation
    balance: Development and testing for Haut Glacier d’Arolla, Switzerland. Journal
    of Glaciology. 51(175), 573–587.'
  mla: 'Pellicciotti, Francesca, et al. “An Enhanced Temperature-Index Glacier Melt
    Model Including the Shortwave Radiation Balance: Development and Testing for Haut
    Glacier d’Arolla, Switzerland.” <i>Journal of Glaciology</i>, vol. 51, no. 175,
    Cambridge University Press, 2005, pp. 573–87, doi:<a href="https://doi.org/10.3189/172756505781829124">10.3189/172756505781829124</a>.'
  short: F. Pellicciotti, B. Brock, U. Strasser, P. Burlando, M. Funk, J. Corripio,
    Journal of Glaciology 51 (2005) 573–587.
date_created: 2023-02-20T08:18:51Z
date_published: 2005-10-19T00:00:00Z
date_updated: 2024-10-14T12:00:05Z
day: '19'
doi: 10.3189/172756505781829124
extern: '1'
intvolume: '        51'
issue: '175'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.3189/172756505781829124
month: '10'
oa: 1
oa_version: Published Version
page: 573-587
publication: Journal of Glaciology
publication_identifier:
  eissn:
  - 1727-5652
  issn:
  - 0022-1430
publication_status: published
publisher: Cambridge University Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'An enhanced temperature-index glacier melt model including the shortwave radiation
  balance: Development and testing for Haut Glacier d’Arolla, Switzerland'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 51
year: '2005'
...
---
_id: '1298'
abstract:
- lang: eng
  text: Genetically encoded fluorescent probes of neural activity represent new promising
    tools for systems neuroscience. Here, we present a comparative in vivo analysis
    of 10 different genetically encoded calcium indicators, as well as the pH-sensitive
    synapto-pHluorin. We analyzed their fluorescence changes in presynaptic boutons
    of the Drosophila larval neuromuscular junction. Robust neural activity did not
    result in any or noteworthy fluorescence changes when Flash-Pericam, Camgaroo-1,
    and Camgaroo-2 were expressed. However, calculated on the raw data, fractional
    fluorescence changes up to 18% were reported by synapto-pHluorin, Yellow Cameleon
    2.0, 2.3, and 3.3, Inverse-Pericam, GCaMP1.3, GCaMP1.6, and the troponin C-based
    calcium sensor TN-L15. The response characteristics of all of these indicators
    differed considerably from each other, with GCaMP1.6 reporting high rates of neural
    activity with the largest and fastest fluorescence changes. However, GCaMP1.6
    suffered from photobleaching, whereas the fluorescence signals of the double-chromophore
    indicators were in general smaller but more photostable and reproducible, with
    TN-L15 showing the fastest rise of the signals at lower activity rates. We show
    for GCaMP1.3 and YC3.3 that an expanded range of neural activity evoked fairly
    linear fluorescence changes and a corresponding linear increase in the signal-to-noise
    ratio (SNR). The expression level of the indicator biased the signal kinetics
    and SNR, whereas the signal amplitude was independent. The presented data will
    be useful for in vivo experiments with respect to the selection of an appropriate
    indicator, as well as for the correct interpretation of the optical signals.
acknowledgement: This work was supported by the Max-Planck-Society.
author:
- first_name: Dierk
  full_name: Reiff, Dierk F
  last_name: Reiff
- first_name: Alexandra
  full_name: Ihring, Alexandra
  last_name: Ihring
- first_name: Giovanna
  full_name: Guerrero, Giovanna
  last_name: Guerrero
- first_name: Ehud
  full_name: Isacoff, Ehud Y
  last_name: Isacoff
- first_name: Maximilian A
  full_name: Maximilian Jösch
  id: 2BD278E6-F248-11E8-B48F-1D18A9856A87
  last_name: Jösch
  orcid: 0000-0002-3937-1330
- first_name: Junichi
  full_name: Nakai, Junichi
  last_name: Nakai
- first_name: Alexander
  full_name: Borst, Alexander
  last_name: Borst
citation:
  ama: Reiff D, Ihring A, Guerrero G, et al. In vivo performance of genetically encoded
    indicators of neural activity in flies. <i>Journal of Neuroscience</i>. 2005;25(19):4766-4778.
    doi:<a href="https://doi.org/10.1523/JNEUROSCI.4900-04.2005">10.1523/JNEUROSCI.4900-04.2005</a>
  apa: Reiff, D., Ihring, A., Guerrero, G., Isacoff, E., Jösch, M. A., Nakai, J.,
    &#38; Borst, A. (2005). In vivo performance of genetically encoded indicators
    of neural activity in flies. <i>Journal of Neuroscience</i>. Society for Neuroscience.
    <a href="https://doi.org/10.1523/JNEUROSCI.4900-04.2005">https://doi.org/10.1523/JNEUROSCI.4900-04.2005</a>
  chicago: Reiff, Dierk, Alexandra Ihring, Giovanna Guerrero, Ehud Isacoff, Maximilian
    A Jösch, Junichi Nakai, and Alexander Borst. “In Vivo Performance of Genetically
    Encoded Indicators of Neural Activity in Flies.” <i>Journal of Neuroscience</i>.
    Society for Neuroscience, 2005. <a href="https://doi.org/10.1523/JNEUROSCI.4900-04.2005">https://doi.org/10.1523/JNEUROSCI.4900-04.2005</a>.
  ieee: D. Reiff <i>et al.</i>, “In vivo performance of genetically encoded indicators
    of neural activity in flies,” <i>Journal of Neuroscience</i>, vol. 25, no. 19.
    Society for Neuroscience, pp. 4766–4778, 2005.
  ista: Reiff D, Ihring A, Guerrero G, Isacoff E, Jösch MA, Nakai J, Borst A. 2005.
    In vivo performance of genetically encoded indicators of neural activity in flies.
    Journal of Neuroscience. 25(19), 4766–4778.
  mla: Reiff, Dierk, et al. “In Vivo Performance of Genetically Encoded Indicators
    of Neural Activity in Flies.” <i>Journal of Neuroscience</i>, vol. 25, no. 19,
    Society for Neuroscience, 2005, pp. 4766–78, doi:<a href="https://doi.org/10.1523/JNEUROSCI.4900-04.2005">10.1523/JNEUROSCI.4900-04.2005</a>.
  short: D. Reiff, A. Ihring, G. Guerrero, E. Isacoff, M.A. Jösch, J. Nakai, A. Borst,
    Journal of Neuroscience 25 (2005) 4766–4778.
date_created: 2018-12-11T11:51:13Z
date_published: 2005-03-11T00:00:00Z
date_updated: 2021-01-12T06:49:42Z
day: '11'
doi: 10.1523/JNEUROSCI.4900-04.2005
extern: 1
intvolume: '        25'
issue: '19'
month: '03'
page: 4766 - 4778
publication: Journal of Neuroscience
publication_status: published
publisher: Society for Neuroscience
publist_id: '5975'
quality_controlled: 0
status: public
title: In vivo performance of genetically encoded indicators of neural activity in
  flies
type: journal_article
volume: 25
year: '2005'
...
---
_id: '1962'
abstract:
- lang: eng
  text: |2-


    Complex I of respiratory chains plays a central role in bioenergetics and is implicated in many human neurodegenerative diseases. An understanding of its mechanism requires a knowledge of the organization of redox centers. The arrangement of iron-sulfur clusters in the hydrophilic domain of complex I from Thermus thermophilus has been determined with the use of x-ray crystallography. One binuclear and six tetranuclear clusters are arranged, maximally 14 angstroms apart, in an 84-angstrom-long electron transfer chain. The binuclear cluster N1a and the tetranuclear cluster N7 are not in this pathway. Cluster N1a may play a role in the prevention of oxidative damage. The structure provides a framework for the interpretation of the large amounts of data accumulated on complex I.
acknowledgement: This work was funded by the Medical Research Council.
author:
- first_name: Philip
  full_name: 'Hinchliffe, Philip '
  last_name: Hinchliffe
- first_name: Leonid A
  full_name: Leonid Sazanov
  id: 338D39FE-F248-11E8-B48F-1D18A9856A87
  last_name: Sazanov
  orcid: 0000-0002-0977-7989
citation:
  ama: 'Hinchliffe P, Sazanov LA. Biochemistry: Organization of iron-sulfur clusters
    in respiratory complex I. <i>Science</i>. 2005;309(5735):771-774. doi:<a href="https://doi.org/10.1126/science.1113988">10.1126/science.1113988</a>'
  apa: 'Hinchliffe, P., &#38; Sazanov, L. A. (2005). Biochemistry: Organization of
    iron-sulfur clusters in respiratory complex I. <i>Science</i>. American Association
    for the Advancement of Science. <a href="https://doi.org/10.1126/science.1113988">https://doi.org/10.1126/science.1113988</a>'
  chicago: 'Hinchliffe, Philip, and Leonid A Sazanov. “Biochemistry: Organization
    of Iron-Sulfur Clusters in Respiratory Complex I.” <i>Science</i>. American Association
    for the Advancement of Science, 2005. <a href="https://doi.org/10.1126/science.1113988">https://doi.org/10.1126/science.1113988</a>.'
  ieee: 'P. Hinchliffe and L. A. Sazanov, “Biochemistry: Organization of iron-sulfur
    clusters in respiratory complex I,” <i>Science</i>, vol. 309, no. 5735. American
    Association for the Advancement of Science, pp. 771–774, 2005.'
  ista: 'Hinchliffe P, Sazanov LA. 2005. Biochemistry: Organization of iron-sulfur
    clusters in respiratory complex I. Science. 309(5735), 771–774.'
  mla: 'Hinchliffe, Philip, and Leonid A. Sazanov. “Biochemistry: Organization of
    Iron-Sulfur Clusters in Respiratory Complex I.” <i>Science</i>, vol. 309, no.
    5735, American Association for the Advancement of Science, 2005, pp. 771–74, doi:<a
    href="https://doi.org/10.1126/science.1113988">10.1126/science.1113988</a>.'
  short: P. Hinchliffe, L.A. Sazanov, Science 309 (2005) 771–774.
date_created: 2018-12-11T11:54:56Z
date_published: 2005-07-29T00:00:00Z
date_updated: 2021-01-12T06:54:22Z
day: '29'
doi: 10.1126/science.1113988
extern: 1
intvolume: '       309'
issue: '5735'
month: '07'
page: 771 - 774
publication: Science
publication_status: published
publisher: American Association for the Advancement of Science
publist_id: '5122'
quality_controlled: 0
status: public
title: 'Biochemistry: Organization of iron-sulfur clusters in respiratory complex
  I'
type: journal_article
volume: 309
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: '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'
...
---
_id: '2362'
abstract:
- lang: eng
  text: Recent developments in the physics of low-density trapped gases make it worthwhile
    to verify old, well-known results that, while plausible, were based on perturbation
    theory and assumptions about pseudopotentials. We use and extend recently developed
    techniques to give a rigorous derivation of the asymptotic formula for the ground-state
    energy of a dilute gas of N fermions interacting with a short-range, positive
    potential of scattering length a. For spin-12 fermions, this is E∼E0+(22m)2πNa,
    where E0 is the energy of the noninteracting system and is the density. A similar
    formula holds in two dimensions (2D), with a replaced by ln(a2). Obviously this
    2D energy is not the expectation value of a density-independent pseudopotential.
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
citation:
  ama: Lieb É, Seiringer R, Solovej J. Ground state energy of the low density Fermi
    gas. <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>. 2005;71(5).
    doi:<a href="https://doi.org/10.1103/PhysRevA.71.053605">10.1103/PhysRevA.71.053605</a>
  apa: Lieb, É., Seiringer, R., &#38; Solovej, J. (2005). Ground state energy of the
    low density Fermi gas. <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>.
    American Physical Society. <a href="https://doi.org/10.1103/PhysRevA.71.053605">https://doi.org/10.1103/PhysRevA.71.053605</a>
  chicago: Lieb, Élliott, Robert Seiringer, and Jan Solovej. “Ground State Energy
    of the Low Density Fermi Gas.” <i>Physical Review A - Atomic, Molecular, and Optical
    Physics</i>. American Physical Society, 2005. <a href="https://doi.org/10.1103/PhysRevA.71.053605">https://doi.org/10.1103/PhysRevA.71.053605</a>.
  ieee: É. Lieb, R. Seiringer, and J. Solovej, “Ground state energy of the low density
    Fermi gas,” <i>Physical Review A - Atomic, Molecular, and Optical Physics</i>,
    vol. 71, no. 5. American Physical Society, 2005.
  ista: Lieb É, Seiringer R, Solovej J. 2005. Ground state energy of the low density
    Fermi gas. Physical Review A - Atomic, Molecular, and Optical Physics. 71(5).
  mla: Lieb, Élliott, et al. “Ground State Energy of the Low Density Fermi Gas.” <i>Physical
    Review A - Atomic, Molecular, and Optical Physics</i>, vol. 71, no. 5, American
    Physical Society, 2005, doi:<a href="https://doi.org/10.1103/PhysRevA.71.053605">10.1103/PhysRevA.71.053605</a>.
  short: É. Lieb, R. Seiringer, J. Solovej, Physical Review A - Atomic, Molecular,
    and Optical Physics 71 (2005).
date_created: 2018-12-11T11:57:13Z
date_published: 2005-05-01T00:00:00Z
date_updated: 2021-01-12T06:57:01Z
day: '01'
doi: 10.1103/PhysRevA.71.053605
extern: 1
intvolume: '        71'
issue: '5'
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/math-ph/0412080
month: '05'
oa: 1
publication: Physical Review A - Atomic, Molecular, and Optical Physics
publication_status: published
publisher: American Physical Society
publist_id: '4565'
quality_controlled: 0
status: public
title: Ground state energy of the low density Fermi gas
type: journal_article
volume: 71
year: '2005'
...
---
_id: '2427'
abstract:
- lang: eng
  text: Intersection graphs of disks and of line segments, respectively, have been
    well studied, because of both practical applications and theoretically interesting
    properties of these graphs. Despite partial results, the complexity status of
    the Clique problem for these two graph classes is still open. Here, we consider
    the Clique problem for intersection graphs of ellipses, which, in a sense, interpolate
    between disks and line segments, and show that the problem is APX-hard in that
    case. Moreover, this holds even if for all ellipses, the ratio of the larger over
    the smaller radius is some prescribed number. Furthermore, the reduction immediately
    carries over to intersection graphs of triangles. To our knowledge, this is the
    first hardness result for the Clique problem in intersection graphs of convex
    objects with finite description complexity. We also describe a simple approximation
    algorithm for the case of ellipses for which the ratio of radii is bounded.
author:
- first_name: Christoph
  full_name: Ambühl, Christoph
  last_name: Ambühl
- first_name: Uli
  full_name: Uli Wagner
  id: 36690CA2-F248-11E8-B48F-1D18A9856A87
  last_name: Wagner
  orcid: 0000-0002-1494-0568
citation:
  ama: Ambühl C, Wagner U. The Clique problem in intersection graphs of ellipses and
    triangles. <i>Theory of Computing Systems</i>. 2005;38(3):279-292. doi:<a href="https://doi.org/10.1007/s00224-005-1141-6">10.1007/s00224-005-1141-6</a>
  apa: Ambühl, C., &#38; Wagner, U. (2005). The Clique problem in intersection graphs
    of ellipses and triangles. <i>Theory of Computing Systems</i>. Springer. <a href="https://doi.org/10.1007/s00224-005-1141-6">https://doi.org/10.1007/s00224-005-1141-6</a>
  chicago: Ambühl, Christoph, and Uli Wagner. “The Clique Problem in Intersection
    Graphs of Ellipses and Triangles.” <i>Theory of Computing Systems</i>. Springer,
    2005. <a href="https://doi.org/10.1007/s00224-005-1141-6">https://doi.org/10.1007/s00224-005-1141-6</a>.
  ieee: C. Ambühl and U. Wagner, “The Clique problem in intersection graphs of ellipses
    and triangles,” <i>Theory of Computing Systems</i>, vol. 38, no. 3. Springer,
    pp. 279–292, 2005.
  ista: Ambühl C, Wagner U. 2005. The Clique problem in intersection graphs of ellipses
    and triangles. Theory of Computing Systems. 38(3), 279–292.
  mla: Ambühl, Christoph, and Uli Wagner. “The Clique Problem in Intersection Graphs
    of Ellipses and Triangles.” <i>Theory of Computing Systems</i>, vol. 38, no. 3,
    Springer, 2005, pp. 279–92, doi:<a href="https://doi.org/10.1007/s00224-005-1141-6">10.1007/s00224-005-1141-6</a>.
  short: C. Ambühl, U. Wagner, Theory of Computing Systems 38 (2005) 279–292.
date_created: 2018-12-11T11:57:36Z
date_published: 2005-05-01T00:00:00Z
date_updated: 2021-01-12T06:57:25Z
day: '01'
doi: 10.1007/s00224-005-1141-6
extern: 1
intvolume: '        38'
issue: '3'
month: '05'
page: 279 - 292
publication: Theory of Computing Systems
publication_status: published
publisher: Springer
publist_id: '4497'
quality_controlled: 0
status: public
title: The Clique problem in intersection graphs of ellipses and triangles
type: journal_article
volume: 38
year: '2005'
...
