---
_id: '882'
abstract:
- lang: eng
  text: Some mutations in human mitochondrial tRNAs are severely pathogenic. The available
    computational methods have a poor record of predicting the impact of a tRNA mutation
    on the phenotype and fitness. Here patterns of evolution at tRNA sites that harbor
    pathogenic mutations and at sites that harbor phenotypically cryptic polymorphisms
    were compared. Mutations that are pathogenic to humans occupy more conservative
    sites, are only rarely fixed in closely related species, and, when located in
    stem structures, often disrupt Watson-Crick pairing and display signs of compensatory
    evolution. These observations make it possible to classify ∼90% of all known pathogenic
    mutations as deleterious together with only ∼30% of polymorphisms. These polymorphisms
    segregate at frequencies that are more than two times lower than frequencies of
    polymorphisms classified as benign, indicating that at least ∼30% of known polymorphisms
    in mitochondrial tRNAs affect fitness negatively.
acknowledgement: |
  The author thanks P. Andolfatto, D. Bachtrog, N. Esipova, S. Makeev, A. Kondrashov, V. Ramensky, V. Tumanyan and P. Vlasov for a critical reading of the manuscript. The author is an NSF Graduate Research Fellow. This work was supported by a Contract of the Russian Ministry of Science and Education (02.434.11.1008) and a grant on Molecular and Cellular Biology from RAS.
author:
- first_name: Fyodor
  full_name: Fyodor Kondrashov
  id: 44FDEF62-F248-11E8-B48F-1D18A9856A87
  last_name: Kondrashov
  orcid: 0000-0001-8243-4694
citation:
  ama: Kondrashov F. Prediction of pathogenic mutations in mitochondrially encoded
    human tRNAs. <i>Human Molecular Genetics</i>. 2005;14(16):2415-2419. doi:<a href="https://doi.org/10.1093/hmg/ddi243">10.1093/hmg/ddi243</a>
  apa: Kondrashov, F. (2005). Prediction of pathogenic mutations in mitochondrially
    encoded human tRNAs. <i>Human Molecular Genetics</i>. Oxford University Press.
    <a href="https://doi.org/10.1093/hmg/ddi243">https://doi.org/10.1093/hmg/ddi243</a>
  chicago: Kondrashov, Fyodor. “Prediction of Pathogenic Mutations in Mitochondrially
    Encoded Human TRNAs.” <i>Human Molecular Genetics</i>. Oxford University Press,
    2005. <a href="https://doi.org/10.1093/hmg/ddi243">https://doi.org/10.1093/hmg/ddi243</a>.
  ieee: F. Kondrashov, “Prediction of pathogenic mutations in mitochondrially encoded
    human tRNAs,” <i>Human Molecular Genetics</i>, vol. 14, no. 16. Oxford University
    Press, pp. 2415–2419, 2005.
  ista: Kondrashov F. 2005. Prediction of pathogenic mutations in mitochondrially
    encoded human tRNAs. Human Molecular Genetics. 14(16), 2415–2419.
  mla: Kondrashov, Fyodor. “Prediction of Pathogenic Mutations in Mitochondrially
    Encoded Human TRNAs.” <i>Human Molecular Genetics</i>, vol. 14, no. 16, Oxford
    University Press, 2005, pp. 2415–19, doi:<a href="https://doi.org/10.1093/hmg/ddi243">10.1093/hmg/ddi243</a>.
  short: F. Kondrashov, Human Molecular Genetics 14 (2005) 2415–2419.
date_created: 2018-12-11T11:49:00Z
date_published: 2005-08-15T00:00:00Z
date_updated: 2021-01-12T08:21:10Z
day: '15'
doi: 10.1093/hmg/ddi243
extern: 1
intvolume: '        14'
issue: '16'
month: '08'
page: 2415 - 2419
publication: Human Molecular Genetics
publication_status: published
publisher: Oxford University Press
publist_id: '6767'
quality_controlled: 0
status: public
title: Prediction of pathogenic mutations in mitochondrially encoded human tRNAs
type: journal_article
volume: 14
year: '2005'
...
---
_id: '893'
abstract:
- lang: eng
  text: Amino acid composition of proteins varies substantially between taxa and,
    thus, can evolve. For example, proteins from organisms with (G+C)-rich (or (A+T)-rich)
    genomes contain more (or fewer) amino acids encoded by (G+C)-rich codons. However,
    no universal trends in ongoing changes of amino acid frequencies have been reported.
    We compared sets of orthologous proteins encoded by triplets of closely related
    genomes from 15 taxa representing all three domains of life (Bacteria, Archaea
    and Eukaryota), and used phylogenies to polarize amino acid substitutions. Cys,
    Met, His, Ser and Phe accrue in at least 14 taxa, whereas Pro, Ala, Glu and Gly
    are consistently lost. The same nine amino acids are currently accrued or lost
    in human proteins, as shown by analysis of non-synonymous single-nucleotide polymorphisms.
    All amino acids with declining frequencies are thought to be among the first incorporated
    into the genetic code; conversely, all amino acids with increasing frequencies,
    except Ser, were probably recruited late. Thus, expansion of initially under-represented
    amino acids, which began over 3,400 million years ago, apparently continues to
    this day.
acknowledgement: S.S. and I.A.A. were supported by the Genome Canada Foundation.
author:
- first_name: Ingo
  full_name: Jordan, Ingo K
  last_name: Jordan
- first_name: Fyodor
  full_name: Fyodor Kondrashov
  id: 44FDEF62-F248-11E8-B48F-1D18A9856A87
  last_name: Kondrashov
  orcid: 0000-0001-8243-4694
- first_name: Ivan
  full_name: Adzhubeǐ, Ivan A
  last_name: Adzhubeǐ
- first_name: Yuri
  full_name: Wolf, Yuri I
  last_name: Wolf
- first_name: Eugene
  full_name: Koonin, Eugene V
  last_name: Koonin
- first_name: Alexey
  full_name: Kondrashov, Alexey S
  last_name: Kondrashov
- first_name: Shamil
  full_name: Sunyaev, Shamil R
  last_name: Sunyaev
citation:
  ama: Jordan I, Kondrashov F, Adzhubeǐ I, et al. A universal trend of amino acid
    gain and loss in protein evolution. <i>Nature</i>. 2005;433(7026):633-638. doi:<a
    href="https://doi.org/10.1038/nature03306">10.1038/nature03306</a>
  apa: Jordan, I., Kondrashov, F., Adzhubeǐ, I., Wolf, Y., Koonin, E., Kondrashov,
    A., &#38; Sunyaev, S. (2005). A universal trend of amino acid gain and loss in
    protein evolution. <i>Nature</i>. Nature Publishing Group. <a href="https://doi.org/10.1038/nature03306">https://doi.org/10.1038/nature03306</a>
  chicago: Jordan, Ingo, Fyodor Kondrashov, Ivan Adzhubeǐ, Yuri Wolf, Eugene Koonin,
    Alexey Kondrashov, and Shamil Sunyaev. “A Universal Trend of Amino Acid Gain and
    Loss in Protein Evolution.” <i>Nature</i>. Nature Publishing Group, 2005. <a href="https://doi.org/10.1038/nature03306">https://doi.org/10.1038/nature03306</a>.
  ieee: I. Jordan <i>et al.</i>, “A universal trend of amino acid gain and loss in
    protein evolution,” <i>Nature</i>, vol. 433, no. 7026. Nature Publishing Group,
    pp. 633–638, 2005.
  ista: Jordan I, Kondrashov F, Adzhubeǐ I, Wolf Y, Koonin E, Kondrashov A, Sunyaev
    S. 2005. A universal trend of amino acid gain and loss in protein evolution. Nature.
    433(7026), 633–638.
  mla: Jordan, Ingo, et al. “A Universal Trend of Amino Acid Gain and Loss in Protein
    Evolution.” <i>Nature</i>, vol. 433, no. 7026, Nature Publishing Group, 2005,
    pp. 633–38, doi:<a href="https://doi.org/10.1038/nature03306">10.1038/nature03306</a>.
  short: I. Jordan, F. Kondrashov, I. Adzhubeǐ, Y. Wolf, E. Koonin, A. Kondrashov,
    S. Sunyaev, Nature 433 (2005) 633–638.
date_created: 2018-12-11T11:49:03Z
date_published: 2005-02-10T00:00:00Z
date_updated: 2021-01-12T08:21:23Z
day: '10'
doi: 10.1038/nature03306
extern: 1
intvolume: '       433'
issue: '7026'
month: '02'
page: 633 - 638
publication: Nature
publication_status: published
publisher: Nature Publishing Group
publist_id: '6757'
quality_controlled: 0
status: public
title: A universal trend of amino acid gain and loss in protein evolution
type: journal_article
volume: 433
year: '2005'
...
---
_id: '1740'
abstract:
- lang: eng
  text: 'A systematic study of the morphology of self-organized islands in the InAs/GaAs(0
    0 1) and Ge/Si(0 0 1) systems is presented, based on high-resolution scanning
    tunneling microscopy measurements. We demonstrate that in both cases two main
    island families coexist: smaller pyramids bound by one type of shallow facets
    and larger multifaceted domes. Their structure and facet orientation are precisely
    determined, thus solving a highly debated argument in the case of InAs/GaAs(0
    0 1). The comparison between the two material systems reveals the existence of
    striking similarities that extend even to the nature of island precursors and
    to the islands that form when depositing InGaAs or GeSi alloys. The implications
    of these observations on a possible universal description of the Stranski-Krastanow
    growth mode are discussed with respect to recent theoretical results.'
author:
- first_name: Giovanni
  full_name: Costantini, Giovanni
  last_name: Costantini
- first_name: Armando
  full_name: Rastelli, Armando
  last_name: Rastelli
- first_name: Carlos
  full_name: Manzano, Carlos
  last_name: Manzano
- first_name: P
  full_name: Acosta-Diaz, P
  last_name: Acosta Diaz
- first_name: Georgios
  full_name: Georgios Katsaros
  id: 38DB5788-F248-11E8-B48F-1D18A9856A87
  last_name: Katsaros
- first_name: Rudeeson
  full_name: Songmuang, Rudeeson
  last_name: Songmuang
- first_name: Oliver
  full_name: Schmidt, Oliver G
  last_name: Schmidt
- first_name: Hans
  full_name: Von Känel, Hans
  last_name: Von Känel
- first_name: Klaus
  full_name: Kern, Klaus
  last_name: Kern
citation:
  ama: Costantini G, Rastelli A, Manzano C, et al. Pyramids and domes in the InAs/GaAs
    (0 0 1) and Ge/Si (0 0 1) systems. <i>Journal of Crystal Growth</i>. 2005;278(1-4):38-45.
    doi:<a href="https://doi.org/10.1016/j.jcrysgro.2004.12.047">10.1016/j.jcrysgro.2004.12.047</a>
  apa: Costantini, G., Rastelli, A., Manzano, C., Acosta Diaz, P., Katsaros, G., Songmuang,
    R., … Kern, K. (2005). Pyramids and domes in the InAs/GaAs (0 0 1) and Ge/Si (0
    0 1) systems. <i>Journal of Crystal Growth</i>. Elsevier. <a href="https://doi.org/10.1016/j.jcrysgro.2004.12.047">https://doi.org/10.1016/j.jcrysgro.2004.12.047</a>
  chicago: Costantini, Giovanni, Armando Rastelli, Carlos Manzano, P Acosta Diaz,
    Georgios Katsaros, Rudeeson Songmuang, Oliver Schmidt, Hans Von Känel, and Klaus
    Kern. “Pyramids and Domes in the InAs/GaAs (0 0 1) and Ge/Si (0 0 1) Systems.”
    <i>Journal of Crystal Growth</i>. Elsevier, 2005. <a href="https://doi.org/10.1016/j.jcrysgro.2004.12.047">https://doi.org/10.1016/j.jcrysgro.2004.12.047</a>.
  ieee: G. Costantini <i>et al.</i>, “Pyramids and domes in the InAs/GaAs (0 0 1)
    and Ge/Si (0 0 1) systems,” <i>Journal of Crystal Growth</i>, vol. 278, no. 1–4.
    Elsevier, pp. 38–45, 2005.
  ista: Costantini G, Rastelli A, Manzano C, Acosta Diaz P, Katsaros G, Songmuang
    R, Schmidt O, Von Känel H, Kern K. 2005. Pyramids and domes in the InAs/GaAs (0
    0 1) and Ge/Si (0 0 1) systems. Journal of Crystal Growth. 278(1–4), 38–45.
  mla: Costantini, Giovanni, et al. “Pyramids and Domes in the InAs/GaAs (0 0 1) and
    Ge/Si (0 0 1) Systems.” <i>Journal of Crystal Growth</i>, vol. 278, no. 1–4, Elsevier,
    2005, pp. 38–45, doi:<a href="https://doi.org/10.1016/j.jcrysgro.2004.12.047">10.1016/j.jcrysgro.2004.12.047</a>.
  short: G. Costantini, A. Rastelli, C. Manzano, P. Acosta Diaz, G. Katsaros, R. Songmuang,
    O. Schmidt, H. Von Känel, K. Kern, Journal of Crystal Growth 278 (2005) 38–45.
date_created: 2018-12-11T11:53:45Z
date_published: 2005-05-01T00:00:00Z
date_updated: 2021-01-12T06:52:54Z
day: '01'
doi: 10.1016/j.jcrysgro.2004.12.047
extern: 1
intvolume: '       278'
issue: 1-4
month: '05'
page: 38 - 45
publication: Journal of Crystal Growth
publication_status: published
publisher: Elsevier
publist_id: '5384'
quality_controlled: 0
status: public
title: Pyramids and domes in the InAs/GaAs (0 0 1) and Ge/Si (0 0 1) systems
type: journal_article
volume: 278
year: '2005'
...
---
_id: '1741'
abstract:
- lang: eng
  text: SiGe islands move laterally on a Si(001) substrate during in situ postgrowth
    annealing. This surprising behavior is revealed by an analysis of the substrate
    surface morphology after island removal using wet chemical etching. We explain
    the island motion by asymmetric surface-mediated alloying. Material leaves one
    side of the island by surface diffusion, and mixes with additional Si from the
    surrounding surface as it redeposits on the other side. Thus the island moves
    laterally while becoming larger and more dilute.
acknowledgement: The work was supported by the BMBF (03N8711)
author:
- first_name: Ulrich
  full_name: Denker, Ulrich
  last_name: Denker
- first_name: Armando
  full_name: Rastelli, Armando
  last_name: Rastelli
- first_name: Mathieu
  full_name: Stoffel, Mathieu
  last_name: Stoffel
- first_name: Jerry
  full_name: Tersoff, Jerry
  last_name: Tersoff
- first_name: Georgios
  full_name: Georgios Katsaros
  id: 38DB5788-F248-11E8-B48F-1D18A9856A87
  last_name: Katsaros
- first_name: Giovanni
  full_name: Costantini, Giovanni
  last_name: Costantini
- first_name: Klaus
  full_name: Kern, Klaus
  last_name: Kern
- first_name: Neng
  full_name: Jin-Phillipp, Neng Y
  last_name: Jin Phillipp
- first_name: David
  full_name: Jesson, David E
  last_name: Jesson
- first_name: Oliver
  full_name: Schmidt, Oliver G
  last_name: Schmidt
citation:
  ama: Denker U, Rastelli A, Stoffel M, et al. Lateral motion of SiGe islands driven
    by surface-mediated alloying. <i>Physical Review Letters</i>. 2005;94(21). doi:<a
    href="https://doi.org/10.1103/PhysRevLett.94.216103">10.1103/PhysRevLett.94.216103</a>
  apa: Denker, U., Rastelli, A., Stoffel, M., Tersoff, J., Katsaros, G., Costantini,
    G., … Schmidt, O. (2005). Lateral motion of SiGe islands driven by surface-mediated
    alloying. <i>Physical Review Letters</i>. American Physical Society. <a href="https://doi.org/10.1103/PhysRevLett.94.216103">https://doi.org/10.1103/PhysRevLett.94.216103</a>
  chicago: Denker, Ulrich, Armando Rastelli, Mathieu Stoffel, Jerry Tersoff, Georgios
    Katsaros, Giovanni Costantini, Klaus Kern, Neng Jin Phillipp, David Jesson, and
    Oliver Schmidt. “Lateral Motion of SiGe Islands Driven by Surface-Mediated Alloying.”
    <i>Physical Review Letters</i>. American Physical Society, 2005. <a href="https://doi.org/10.1103/PhysRevLett.94.216103">https://doi.org/10.1103/PhysRevLett.94.216103</a>.
  ieee: U. Denker <i>et al.</i>, “Lateral motion of SiGe islands driven by surface-mediated
    alloying,” <i>Physical Review Letters</i>, vol. 94, no. 21. American Physical
    Society, 2005.
  ista: Denker U, Rastelli A, Stoffel M, Tersoff J, Katsaros G, Costantini G, Kern
    K, Jin Phillipp N, Jesson D, Schmidt O. 2005. Lateral motion of SiGe islands driven
    by surface-mediated alloying. Physical Review Letters. 94(21).
  mla: Denker, Ulrich, et al. “Lateral Motion of SiGe Islands Driven by Surface-Mediated
    Alloying.” <i>Physical Review Letters</i>, vol. 94, no. 21, American Physical
    Society, 2005, doi:<a href="https://doi.org/10.1103/PhysRevLett.94.216103">10.1103/PhysRevLett.94.216103</a>.
  short: U. Denker, A. Rastelli, M. Stoffel, J. Tersoff, G. Katsaros, G. Costantini,
    K. Kern, N. Jin Phillipp, D. Jesson, O. Schmidt, Physical Review Letters 94 (2005).
date_created: 2018-12-11T11:53:46Z
date_published: 2005-06-03T00:00:00Z
date_updated: 2021-01-12T06:52:54Z
day: '03'
doi: 10.1103/PhysRevLett.94.216103
extern: 1
intvolume: '        94'
issue: '21'
month: '06'
publication: Physical Review Letters
publication_status: published
publisher: American Physical Society
publist_id: '5383'
quality_controlled: 0
status: public
title: Lateral motion of SiGe islands driven by surface-mediated alloying
type: journal_article
volume: 94
year: '2005'
...
---
_id: '1742'
abstract:
- lang: eng
  text: The effects of substrate temperature, growth rate, and postgrowth annealing
    on the composition of Ge islands grown on Si(001) were investigated with a combination
    of selective wet chemical etching and atomic force microscopy. A simple kinetic
    model comprising only surface diffusion processes can explain all the experimentally
    observed compositional profiles for pyramid and dome islands grown in the 560-620°C
    range. From this model three-dimensional compositional maps were extracted. By
    performing annealing experiments a change in the composition of the domes was
    observed. This could be explained as the result of the islands' movement induced
    by alloying-driven energy minimization. Also in this case kinetically hindered
    bulk diffusion processes are not needed to explain the experimental observations.
acknowledgement: G. K. acknowledges the financial support of DAAD (Deutscher Akademischer
  Austausch Dienst)
author:
- first_name: Georgios
  full_name: Georgios Katsaros
  id: 38DB5788-F248-11E8-B48F-1D18A9856A87
  last_name: Katsaros
- first_name: Giovanni
  full_name: Costantini, Giovanni
  last_name: Costantini
- first_name: Mathieu
  full_name: Stoffel, Mathieu
  last_name: Stoffel
- first_name: Rubén
  full_name: Esteban, Rubén
  last_name: Esteban
- first_name: Alexander
  full_name: Bittner, Alexander M
  last_name: Bittner
- first_name: Armando
  full_name: Rastelli, Armando
  last_name: Rastelli
- first_name: Ulrich
  full_name: Denker, Ulrich
  last_name: Denker
- first_name: Oliver
  full_name: Schmidt, Oliver G
  last_name: Schmidt
- first_name: Klaus
  full_name: Kern, Klaus
  last_name: Kern
citation:
  ama: Katsaros G, Costantini G, Stoffel M, et al. Kinetic origin of island intermixing
    during the growth of Ge on Si (001). <i>Physical Review B - Condensed Matter and
    Materials Physics</i>. 2005;72(19). doi:<a href="https://doi.org/10.1103/PhysRevB.72.195320">10.1103/PhysRevB.72.195320</a>
  apa: Katsaros, G., Costantini, G., Stoffel, M., Esteban, R., Bittner, A., Rastelli,
    A., … Kern, K. (2005). Kinetic origin of island intermixing during the growth
    of Ge on Si (001). <i>Physical Review B - Condensed Matter and Materials Physics</i>.
    American Physical Society. <a href="https://doi.org/10.1103/PhysRevB.72.195320">https://doi.org/10.1103/PhysRevB.72.195320</a>
  chicago: Katsaros, Georgios, Giovanni Costantini, Mathieu Stoffel, Rubén Esteban,
    Alexander Bittner, Armando Rastelli, Ulrich Denker, Oliver Schmidt, and Klaus
    Kern. “Kinetic Origin of Island Intermixing during the Growth of Ge on Si (001).”
    <i>Physical Review B - Condensed Matter and Materials Physics</i>. American Physical
    Society, 2005. <a href="https://doi.org/10.1103/PhysRevB.72.195320">https://doi.org/10.1103/PhysRevB.72.195320</a>.
  ieee: G. Katsaros <i>et al.</i>, “Kinetic origin of island intermixing during the
    growth of Ge on Si (001),” <i>Physical Review B - Condensed Matter and Materials
    Physics</i>, vol. 72, no. 19. American Physical Society, 2005.
  ista: Katsaros G, Costantini G, Stoffel M, Esteban R, Bittner A, Rastelli A, Denker
    U, Schmidt O, Kern K. 2005. Kinetic origin of island intermixing during the growth
    of Ge on Si (001). Physical Review B - Condensed Matter and Materials Physics.
    72(19).
  mla: Katsaros, Georgios, et al. “Kinetic Origin of Island Intermixing during the
    Growth of Ge on Si (001).” <i>Physical Review B - Condensed Matter and Materials
    Physics</i>, vol. 72, no. 19, American Physical Society, 2005, doi:<a href="https://doi.org/10.1103/PhysRevB.72.195320">10.1103/PhysRevB.72.195320</a>.
  short: G. Katsaros, G. Costantini, M. Stoffel, R. Esteban, A. Bittner, A. Rastelli,
    U. Denker, O. Schmidt, K. Kern, Physical Review B - Condensed Matter and Materials
    Physics 72 (2005).
date_created: 2018-12-11T11:53:46Z
date_published: 2005-11-15T00:00:00Z
date_updated: 2021-01-12T06:52:55Z
day: '15'
doi: 10.1103/PhysRevB.72.195320
extern: 1
intvolume: '        72'
issue: '19'
month: '11'
publication: Physical Review B - Condensed Matter and Materials Physics
publication_status: published
publisher: American Physical Society
publist_id: '5382'
quality_controlled: 0
status: public
title: Kinetic origin of island intermixing during the growth of Ge on Si (001)
type: journal_article
volume: 72
year: '2005'
...
---
_id: '1743'
abstract:
- lang: eng
  text: Laterally aligned multilayer GeSiSi islands grown on a patterned Si (001)
    substrate are disclosed by selective etching of Si in a KOH solution. This procedure
    allows us to visualize the vertical alignment of the islands in a three-dimensional
    perspective. Our technique reveals that partly coalesced double islands in the
    initial layer do not merge together, but instead gradually reproduce into well-separated
    double islands in upper layers. We attribute this effect to very thin spacer layers,
    which efficiently transfer the strain modulation of each island through the spacer
    layer to the surface. The etching rate of Si is reduced in tensile strained regions,
    which helps to preserve sufficient Si between the stacked islands to form a periodic
    array of freestanding and vertically modulated heterostructure pillars.
acknowledgement: This work was supported by the BMBF (03N8711) and the EU NOE SANDiE
author:
- first_name: Zheyang
  full_name: Zhong, Zheyang
  last_name: Zhong
- first_name: Georgios
  full_name: Georgios Katsaros
  id: 38DB5788-F248-11E8-B48F-1D18A9856A87
  last_name: Katsaros
- first_name: Mathieu
  full_name: Stoffel, Mathieu
  last_name: Stoffel
- first_name: Giovanni
  full_name: Costantini, Giovanni
  last_name: Costantini
- first_name: Klaus
  full_name: Kern, Klaus
  last_name: Kern
- first_name: Oliver
  full_name: Schmidt, Oliver G
  last_name: Schmidt
- first_name: Neng
  full_name: Jin-Phillipp, Neng Y
  last_name: Jin Phillipp
- first_name: Günther
  full_name: Bauer, Günther
  last_name: Bauer
citation:
  ama: Zhong Z, Katsaros G, Stoffel M, et al. Periodic pillar structures by Si etching
    of multilayer GeSi/Si islands. <i>Applied Physics Letters</i>. 2005;87(26):1-3.
    doi:<a href="https://doi.org/10.1063/1.2150278">10.1063/1.2150278</a>
  apa: Zhong, Z., Katsaros, G., Stoffel, M., Costantini, G., Kern, K., Schmidt, O.,
    … Bauer, G. (2005). Periodic pillar structures by Si etching of multilayer GeSi/Si
    islands. <i>Applied Physics Letters</i>. American Institute of Physics. <a href="https://doi.org/10.1063/1.2150278">https://doi.org/10.1063/1.2150278</a>
  chicago: Zhong, Zheyang, Georgios Katsaros, Mathieu Stoffel, Giovanni Costantini,
    Klaus Kern, Oliver Schmidt, Neng Jin Phillipp, and Günther Bauer. “Periodic Pillar
    Structures by Si Etching of Multilayer GeSi/Si Islands.” <i>Applied Physics Letters</i>.
    American Institute of Physics, 2005. <a href="https://doi.org/10.1063/1.2150278">https://doi.org/10.1063/1.2150278</a>.
  ieee: Z. Zhong <i>et al.</i>, “Periodic pillar structures by Si etching of multilayer
    GeSi/Si islands,” <i>Applied Physics Letters</i>, vol. 87, no. 26. American Institute
    of Physics, pp. 1–3, 2005.
  ista: Zhong Z, Katsaros G, Stoffel M, Costantini G, Kern K, Schmidt O, Jin Phillipp
    N, Bauer G. 2005. Periodic pillar structures by Si etching of multilayer GeSi/Si
    islands. Applied Physics Letters. 87(26), 1–3.
  mla: Zhong, Zheyang, et al. “Periodic Pillar Structures by Si Etching of Multilayer
    GeSi/Si Islands.” <i>Applied Physics Letters</i>, vol. 87, no. 26, American Institute
    of Physics, 2005, pp. 1–3, doi:<a href="https://doi.org/10.1063/1.2150278">10.1063/1.2150278</a>.
  short: Z. Zhong, G. Katsaros, M. Stoffel, G. Costantini, K. Kern, O. Schmidt, N.
    Jin Phillipp, G. Bauer, Applied Physics Letters 87 (2005) 1–3.
date_created: 2018-12-11T11:53:46Z
date_published: 2005-01-01T00:00:00Z
date_updated: 2021-01-12T06:52:55Z
day: '01'
doi: 10.1063/1.2150278
extern: 1
intvolume: '        87'
issue: '26'
month: '01'
page: 1 - 3
publication: Applied Physics Letters
publication_status: published
publisher: American Institute of Physics
publist_id: '5381'
quality_controlled: 0
status: public
title: Periodic pillar structures by Si etching of multilayer GeSi/Si islands
type: journal_article
volume: 87
year: '2005'
...
---
_id: '1744'
abstract:
- lang: eng
  text: This paper presents optical duobinary and dicode signalling, as alternatives
    to the binary format, in order to improve the transmission performance in the
    presense of non-linear effects in a dense wavelength division multiplex (WDM)
    optical system. Duobinary signalling is applied to an optical system to explore
    the reduction of stimulated Brillouin scattering (SBS) effects. Duobinary signalling
    suppresses the SBS effects, and an eye-opening improvement of 0.25 to 1.2 dB is
    achieved relative to binary transmission over a range of input power levels. An
    experimental study demonstrates that duobinary modulation suppresses the four
    wave mixing (FWM) products of a dense WDM system by a maximum of 3 dB. The suppression
    is maintained over a range of channel spacings. An investigation of the impact
    of fibre dispersion on FWM products under binary, duobinary and dicode modulation
    in a dense WDM system is then performed, with interchannel spacing and optical
    power variation. This leads to the development of a set of guidelines for the
    application areas, in which it is appropriate to use duobinary or dicode modulation
    in WDM systems as a means of mitigating the impact of FWM.
acknowledgement: IET
author:
- first_name: Georgios
  full_name: Georgios Katsaros
  id: 38DB5788-F248-11E8-B48F-1D18A9856A87
  last_name: Katsaros
- first_name: Izzat
  full_name: Darwazeh, Izzat Z
  last_name: Darwazeh
- first_name: Phil
  full_name: Lane, Phil M
  last_name: Lane
citation:
  ama: Katsaros G, Darwazeh I, Lane P. Non linear transmission effects in duobinary
    and dicode optical systems. <i>IEE Proceedings - Optoelectronics</i>. 2005;152(6):344-352.
    doi:<a href="https://doi.org/10.1049/ip-opt:20045067">10.1049/ip-opt:20045067</a>
  apa: Katsaros, G., Darwazeh, I., &#38; Lane, P. (2005). Non linear transmission
    effects in duobinary and dicode optical systems. <i>IEE Proceedings - Optoelectronics</i>.
    Institute of Electrical Engineers. <a href="https://doi.org/10.1049/ip-opt:20045067">https://doi.org/10.1049/ip-opt:20045067</a>
  chicago: Katsaros, Georgios, Izzat Darwazeh, and Phil Lane. “Non Linear Transmission
    Effects in Duobinary and Dicode Optical Systems.” <i>IEE Proceedings - Optoelectronics</i>.
    Institute of Electrical Engineers, 2005. <a href="https://doi.org/10.1049/ip-opt:20045067">https://doi.org/10.1049/ip-opt:20045067</a>.
  ieee: G. Katsaros, I. Darwazeh, and P. Lane, “Non linear transmission effects in
    duobinary and dicode optical systems,” <i>IEE Proceedings - Optoelectronics</i>,
    vol. 152, no. 6. Institute of Electrical Engineers, pp. 344–352, 2005.
  ista: Katsaros G, Darwazeh I, Lane P. 2005. Non linear transmission effects in duobinary
    and dicode optical systems. IEE Proceedings - Optoelectronics. 152(6), 344–352.
  mla: Katsaros, Georgios, et al. “Non Linear Transmission Effects in Duobinary and
    Dicode Optical Systems.” <i>IEE Proceedings - Optoelectronics</i>, vol. 152, no.
    6, Institute of Electrical Engineers, 2005, pp. 344–52, doi:<a href="https://doi.org/10.1049/ip-opt:20045067">10.1049/ip-opt:20045067</a>.
  short: G. Katsaros, I. Darwazeh, P. Lane, IEE Proceedings - Optoelectronics 152
    (2005) 344–352.
date_created: 2018-12-11T11:53:46Z
date_published: 2005-12-01T00:00:00Z
date_updated: 2021-01-12T06:52:55Z
day: '01'
doi: 10.1049/ip-opt:20045067
extern: 1
intvolume: '       152'
issue: '6'
month: '12'
page: 344 - 352
publication: IEE Proceedings - Optoelectronics
publication_status: published
publisher: Institute of Electrical Engineers
publist_id: '5380'
quality_controlled: 0
status: public
title: Non linear transmission effects in duobinary and dicode optical systems
type: journal_article
volume: 152
year: '2005'
...
---
_id: '1795'
abstract:
- lang: eng
  text: 'Background: Murine leukemia virus (MLV) vector particles can be pseudotyped
    with a truncated variant of the human immunodeficiency virus type 1 (HIV-1) envelope
    protein (Env) and selectively target gene transfer to human cells expressing both
    CD4 and an appropriate co-receptor. Vector transduction mimics the HIV-1 entry
    process and is therefore a safe tool to study HIV-1 entry. Results: Using FLY
    cells, which express the MLV gag and pol genes, we generated stable producer cell
    lines that express the HIV-1 envelope gene and a retroviral vector genome encoding
    the green fluorescent protein (GFP). The BH10 or 89.6 P HIV-1 Env was expressed
    from a bicistronic vector which allowed the rapid selection of stable cell lines.
    A codon-usage-optimized synthetic env gene permitted high, Rev-independent Env
    expression. Vectors generated by these producer cells displayed different sensitivity
    to entry inhibitors. Conclusion: These data illustrate that MLV/HIV-1 vectors
    are a valuable screening system for entry inhibitors or neutralizing antisera
    generated by vaccines.'
author:
- first_name: Sandra
  full_name: Sandra Siegert
  id: 36ACD32E-F248-11E8-B48F-1D18A9856A87
  last_name: Siegert
  orcid: 0000-0001-8635-0877
- first_name: Sonja
  full_name: Thaler, Sonja
  last_name: Thaler
- first_name: Ralf
  full_name: Wagner, Ralf
  last_name: Wagner
- first_name: Barbara
  full_name: Schnierle, Barbara S
  last_name: Schnierle
citation:
  ama: Siegert S, Thaler S, Wagner R, Schnierle B. Assessment of HIV-1 entry inhibitors
    by MLV/HIV-1 pseudotyped vectors. <i>AIDS Research and Therapy</i>. 2005;2(1).
    doi:<a href="https://doi.org/10.1186/1742-6405-2-7">10.1186/1742-6405-2-7</a>
  apa: Siegert, S., Thaler, S., Wagner, R., &#38; Schnierle, B. (2005). Assessment
    of HIV-1 entry inhibitors by MLV/HIV-1 pseudotyped vectors. <i>AIDS Research and
    Therapy</i>. BioMed Central. <a href="https://doi.org/10.1186/1742-6405-2-7">https://doi.org/10.1186/1742-6405-2-7</a>
  chicago: Siegert, Sandra, Sonja Thaler, Ralf Wagner, and Barbara Schnierle. “Assessment
    of HIV-1 Entry Inhibitors by MLV/HIV-1 Pseudotyped Vectors.” <i>AIDS Research
    and Therapy</i>. BioMed Central, 2005. <a href="https://doi.org/10.1186/1742-6405-2-7">https://doi.org/10.1186/1742-6405-2-7</a>.
  ieee: S. Siegert, S. Thaler, R. Wagner, and B. Schnierle, “Assessment of HIV-1 entry
    inhibitors by MLV/HIV-1 pseudotyped vectors,” <i>AIDS Research and Therapy</i>,
    vol. 2, no. 1. BioMed Central, 2005.
  ista: Siegert S, Thaler S, Wagner R, Schnierle B. 2005. Assessment of HIV-1 entry
    inhibitors by MLV/HIV-1 pseudotyped vectors. AIDS Research and Therapy. 2(1).
  mla: Siegert, Sandra, et al. “Assessment of HIV-1 Entry Inhibitors by MLV/HIV-1
    Pseudotyped Vectors.” <i>AIDS Research and Therapy</i>, vol. 2, no. 1, BioMed
    Central, 2005, doi:<a href="https://doi.org/10.1186/1742-6405-2-7">10.1186/1742-6405-2-7</a>.
  short: S. Siegert, S. Thaler, R. Wagner, B. Schnierle, AIDS Research and Therapy
    2 (2005).
date_created: 2018-12-11T11:54:03Z
date_published: 2005-09-12T00:00:00Z
date_updated: 2021-01-12T06:53:15Z
day: '12'
doi: 10.1186/1742-6405-2-7
extern: 1
intvolume: '         2'
issue: '1'
month: '09'
publication: AIDS Research and Therapy
publication_status: published
publisher: BioMed Central
publist_id: '5315'
quality_controlled: 0
status: public
title: Assessment of HIV-1 entry inhibitors by MLV/HIV-1 pseudotyped vectors
type: journal_article
volume: 2
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: '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(ϱlnϱ) of a density matrix
    ϱ123 on the product of three Hilbert spaces satisfies S[ϱ123]- S[ϱ12]≤S[ϱ23]-S[ϱ2].
    We strengthen this to S[ϱ123]-S[ϱ12] ≤αnα(S[ϱ23α]-S[ϱ2α]), where the nα are
    weights and the ϱ23α are partitions of ϱ23. 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'
...