---
_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. Analytic Methods for Diophantine Equations and
Diophantine Inequalities. Cambridge University Press; 2005. doi:10.1017/CBO9780511542893
apa: Davenport, H., & Browning, T. D. (2005). Analytic Methods for Diophantine
Equations and Diophantine Inequalities. Cambridge University Press. https://doi.org/10.1017/CBO9780511542893
chicago: Davenport, Harold, and Timothy D Browning. Analytic Methods for Diophantine
Equations and Diophantine Inequalities. Cambridge University Press, 2005.
https://doi.org/10.1017/CBO9780511542893.
ieee: H. Davenport and T. D. Browning, Analytic Methods for Diophantine Equations
and Diophantine Inequalities. 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. Analytic Methods for Diophantine
Equations and Diophantine Inequalities. Cambridge University Press, 2005,
doi:10.1017/CBO9780511542893.
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. Bulletin of the London Mathematical
Society. 2005;37(6):801-808. doi:10.1112/S0024609305004741
apa: Browning, T. D. (2005). Equal sums of like polynomials. Bulletin of the
London Mathematical Society. John Wiley and Sons Ltd. https://doi.org/10.1112/S0024609305004741
chicago: Browning, Timothy D. “Equal Sums of like Polynomials.” Bulletin of the
London Mathematical Society. John Wiley and Sons Ltd, 2005. https://doi.org/10.1112/S0024609305004741.
ieee: T. D. Browning, “Equal sums of like polynomials,” Bulletin of the London
Mathematical Society, 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.” Bulletin of the London
Mathematical Society, vol. 37, no. 6, John Wiley and Sons Ltd, 2005, pp. 801–08,
doi:10.1112/S0024609305004741.
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 > 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. Journal
fur die Reine und Angewandte Mathematik. 2005;(584):83-115. doi:https://doi.org/10.1515/crll.2005.2005.584.83
apa: Browning, T. D., & Heath Brown, R. (2005). Counting rational points on
hypersurfaces. Journal Fur Die Reine Und Angewandte Mathematik. Walter
de Gruyter and Co . https://doi.org/10.1515/crll.2005.2005.584.83
chicago: Browning, Timothy D, and Roger Heath Brown. “Counting Rational Points on
Hypersurfaces.” Journal Fur Die Reine Und Angewandte Mathematik. Walter
de Gruyter and Co , 2005. https://doi.org/10.1515/crll.2005.2005.584.83.
ieee: T. D. Browning and R. Heath Brown, “Counting rational points on hypersurfaces,”
Journal fur die Reine und Angewandte Mathematik, 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.”
Journal Fur Die Reine Und Angewandte Mathematik, no. 584, Walter de Gruyter
and Co , 2005, pp. 83–115, doi:https://doi.org/10.1515/crll.2005.2005.584.83.
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.
Mathematische Zeitschrift. 2005;251(2):233-247. doi:10.1007/s00209-004-0719-z
apa: Browning, T. D., & Heath Brown, R. (2005). Plane curves in boxes and equal
sums of two powers. Mathematische Zeitschrift. Unknown. https://doi.org/10.1007/s00209-004-0719-z
chicago: Browning, Timothy D, and Roger Heath Brown. “Plane Curves in Boxes and
Equal Sums of Two Powers.” Mathematische Zeitschrift. Unknown, 2005. https://doi.org/10.1007/s00209-004-0719-z.
ieee: T. D. Browning and R. Heath Brown, “Plane curves in boxes and equal sums of
two powers,” Mathematische Zeitschrift, 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.” Mathematische Zeitschrift, vol. 251, no. 2, Unknown,
2005, pp. 233–47, doi:10.1007/s00209-004-0719-z.
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.
Journal of Number Theory. 2005;119(2):242-283. doi:10.1016/j.jnt.2005.11.007
apa: Browning, T. D. (2005). The density of rational points on a certain singular
cubic surface. Journal of Number Theory. Elsevier. https://doi.org/10.1016/j.jnt.2005.11.007
chicago: Browning, Timothy D. “The Density of Rational Points on a Certain Singular
Cubic Surface.” Journal of Number Theory. Elsevier, 2005. https://doi.org/10.1016/j.jnt.2005.11.007.
ieee: T. D. Browning, “The density of rational points on a certain singular cubic
surface,” Journal of Number Theory, 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.” Journal of Number Theory, vol. 119, no. 2, Elsevier, 2005,
pp. 242–83, doi:10.1016/j.jnt.2005.11.007.
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. Journal of Biological Chemistry.
2005;280(19):19177-19184. doi:10.1074/jbc.M412923200
apa: Schwartz, J., Novarino, G., Piston, D., & Defelice, L. (2005). Substrate
binding stoichiometry and kinetics of the norepinephrine transporter. Journal
of Biological Chemistry. American Society for Biochemistry and Molecular Biology.
https://doi.org/10.1074/jbc.M412923200
chicago: Schwartz, Joel, Gaia Novarino, David Piston, and Louis Defelice. “Substrate
Binding Stoichiometry and Kinetics of the Norepinephrine Transporter.” Journal
of Biological Chemistry. American Society for Biochemistry and Molecular Biology,
2005. https://doi.org/10.1074/jbc.M412923200.
ieee: J. Schwartz, G. Novarino, D. Piston, and L. Defelice, “Substrate binding stoichiometry
and kinetics of the norepinephrine transporter,” Journal of Biological Chemistry,
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.” Journal of Biological Chemistry, vol. 280,
no. 19, American Society for Biochemistry and Molecular Biology, 2005, pp. 19177–84,
doi:10.1074/jbc.M412923200.
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. The Mathematics of the Bose
Gas and Its Condensation. Vol 34. Basel ; Berlin: Birkhäuser Verlag; 2005.
doi:10.1007/b137508'
apa: 'Lieb, É., Seiringer, R., Solovej, J., & Yngvason, J. (2005). The Mathematics
of the Bose gas and its Condensation (Vol. 34). Basel ; Berlin: Birkhäuser
Verlag. https://doi.org/10.1007/b137508'
chicago: 'Lieb, Élliott, Robert Seiringer, Jan Solovej, and Jakob Yngvason. The
Mathematics of the Bose Gas and Its Condensation. Vol. 34. Basel ; Berlin:
Birkhäuser Verlag, 2005. https://doi.org/10.1007/b137508.'
ieee: 'É. Lieb, R. Seiringer, J. Solovej, and J. Yngvason, The Mathematics of
the Bose gas and its Condensation, 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. The Mathematics of the Bose Gas and Its Condensation.
Vol. 34, Birkhäuser Verlag, 2005, doi:10.1007/b137508.
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. Perspectives
in Analysis. Vol 27. Springer; 2005:97-183. doi:10.1007/3-540-30434-7_9'
apa: 'Lieb, É., Seiringer, R., Solovej, J., & Yngvason, J. (2005). The quantum-mechanical
many-body problem: The Bose gas. In M. Benedicks, P. Jones, S. Smirnov, &
B. Winckler (Eds.), Perspectives in Analysis (Vol. 27, pp. 97–183). Springer.
https://doi.org/10.1007/3-540-30434-7_9'
chicago: 'Lieb, Élliott, Robert Seiringer, Jan Solovej, and Jakob Yngvason. “The
Quantum-Mechanical Many-Body Problem: The Bose Gas.” In Perspectives in Analysis,
edited by Michael Benedicks, Peter Jones, Stanislav Smirnov, and Björn Winckler,
27:97–183. Springer, 2005. https://doi.org/10.1007/3-540-30434-7_9.'
ieee: 'É. Lieb, R. Seiringer, J. Solovej, and J. Yngvason, “The quantum-mechanical
many-body problem: The Bose gas,” in Perspectives in Analysis, 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.” Perspectives in Analysis, edited by Michael Benedicks et al., vol.
27, Springer, 2005, pp. 97–183, doi:10.1007/3-540-30434-7_9.'
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. Physical Review Letters. 2005;94(8). doi:10.1103/PhysRevLett.94.080401
apa: Lieb, É., Seiringer, R., & Yngvason, J. (2005). Justification of c-number
substitutions in bosonic hamiltonians. Physical Review Letters. American
Physical Society. https://doi.org/10.1103/PhysRevLett.94.080401
chicago: Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Justification of
C-Number Substitutions in Bosonic Hamiltonians.” Physical Review Letters.
American Physical Society, 2005. https://doi.org/10.1103/PhysRevLett.94.080401.
ieee: É. Lieb, R. Seiringer, and J. Yngvason, “Justification of c-number substitutions
in bosonic hamiltonians,” Physical Review Letters, 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.”
Physical Review Letters, vol. 94, no. 8, American Physical Society, 2005,
doi:10.1103/PhysRevLett.94.080401.
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. Physical Review
A - Atomic, Molecular, and Optical Physics. 2005;71(6). doi:10.1103/PhysRevA.71.062329
apa: Lieb, É., & Seiringer, R. (2005). Stronger subadditivity of entropy. Physical
Review A - Atomic, Molecular, and Optical Physics. American Physical Society.
https://doi.org/10.1103/PhysRevA.71.062329
chicago: Lieb, Élliott, and Robert Seiringer. “Stronger Subadditivity of Entropy.”
Physical Review A - Atomic, Molecular, and Optical Physics. American Physical
Society, 2005. https://doi.org/10.1103/PhysRevA.71.062329.
ieee: É. Lieb and R. Seiringer, “Stronger subadditivity of entropy,” Physical
Review A - Atomic, Molecular, and Optical Physics, 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.” Physical
Review A - Atomic, Molecular, and Optical Physics, vol. 71, no. 6, American
Physical Society, 2005, doi:10.1103/PhysRevA.71.062329.
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. Physical Review A - Atomic, Molecular, and Optical Physics. 2005;71(5).
doi:10.1103/PhysRevA.71.053605
apa: Lieb, É., Seiringer, R., & Solovej, J. (2005). Ground state energy of the
low density Fermi gas. Physical Review A - Atomic, Molecular, and Optical Physics.
American Physical Society. https://doi.org/10.1103/PhysRevA.71.053605
chicago: Lieb, Élliott, Robert Seiringer, and Jan Solovej. “Ground State Energy
of the Low Density Fermi Gas.” Physical Review A - Atomic, Molecular, and Optical
Physics. American Physical Society, 2005. https://doi.org/10.1103/PhysRevA.71.053605.
ieee: É. Lieb, R. Seiringer, and J. Solovej, “Ground state energy of the low density
Fermi gas,” Physical Review A - Atomic, Molecular, and Optical Physics,
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.” Physical
Review A - Atomic, Molecular, and Optical Physics, vol. 71, no. 5, American
Physical Society, 2005, doi:10.1103/PhysRevA.71.053605.
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. Theory of Computing Systems. 2005;38(3):279-292. doi:10.1007/s00224-005-1141-6
apa: Ambühl, C., & Wagner, U. (2005). The Clique problem in intersection graphs
of ellipses and triangles. Theory of Computing Systems. Springer. https://doi.org/10.1007/s00224-005-1141-6
chicago: Ambühl, Christoph, and Uli Wagner. “The Clique Problem in Intersection
Graphs of Ellipses and Triangles.” Theory of Computing Systems. Springer,
2005. https://doi.org/10.1007/s00224-005-1141-6.
ieee: C. Ambühl and U. Wagner, “The Clique problem in intersection graphs of ellipses
and triangles,” Theory of Computing Systems, 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.” Theory of Computing Systems, vol. 38, no. 3,
Springer, 2005, pp. 279–92, doi:10.1007/s00224-005-1141-6.
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'
...
---
_id: '2428'
abstract:
- lang: eng
text: We consider an online version of the conflict-free coloring of a set of points
on the line, where each newly inserted point must be assigned a color upon insertion,
and at all times the coloring has to be conflict-free, in the sense that in every
interval I there is a color that appears exactly once in I. We present several
deterministic and randomized algorithms for achieving this goal, and analyze their
performance, that is, the maximum number of colors that they need to use, as a
function of the number n of inserted points. We first show that a natural and
simple (deterministic) approach may perform rather poorly, requiring Ω(√n) colors
in the worst case. We then modify this approach, to obtain an efficient deterministic
algorithm that uses a maximum of Θ(log 2 n) colors. Next, we present two randomized
solutions. The first algorithm requires an expected number of at most O(log 2
n) colors, and produces a coloring which is valid with high probability, and the
second one, which is a variant of our efficient deterministic algorithm, requires
an expected number of at most O(log n log log n) colors but always produces a
valid coloring. We also analyze the performance of the simplest proposed algorithm
when the points are inserted in a random order, and present an incomplete analysis
that indicates that, with high probability, it uses only O(log n) colors. Finally,
we show that in the extension of this problem to two dimensions, where the relevant
ranges are disks, n colors may be required in the worst case. The average-case
behavior for disks, and cases involving other planar ranges, are still open.
author:
- first_name: Amos
full_name: Fiat, Amos
last_name: Fiat
- first_name: Meital
full_name: Levy, Meital B
last_name: Levy
- first_name: Jiří
full_name: Matoušek, Jiří
last_name: Matoušek
- first_name: Elchanan
full_name: Pach, Elchanan M
last_name: Pach
- first_name: Micha
full_name: Sharir, Micha
last_name: Sharir
- first_name: Shakhar
full_name: Smorodinsky, Shakhar
last_name: Smorodinsky
- first_name: Uli
full_name: Uli Wagner
id: 36690CA2-F248-11E8-B48F-1D18A9856A87
last_name: Wagner
orcid: 0000-0002-1494-0568
- first_name: Emo
full_name: Welzl, Emo
last_name: Welzl
citation:
ama: 'Fiat A, Levy M, Matoušek J, et al. Online conflict-free coloring for intervals.
In: SIAM; 2005:545-554. doi:10.1137/S0097539704446682'
apa: 'Fiat, A., Levy, M., Matoušek, J., Pach, E., Sharir, M., Smorodinsky, S., …
Welzl, E. (2005). Online conflict-free coloring for intervals (pp. 545–554). Presented
at the SODA: Symposium on Discrete Algorithms, SIAM. https://doi.org/10.1137/S0097539704446682'
chicago: Fiat, Amos, Meital Levy, Jiří Matoušek, Elchanan Pach, Micha Sharir, Shakhar
Smorodinsky, Uli Wagner, and Emo Welzl. “Online Conflict-Free Coloring for Intervals,”
545–54. SIAM, 2005. https://doi.org/10.1137/S0097539704446682.
ieee: 'A. Fiat et al., “Online conflict-free coloring for intervals,” presented
at the SODA: Symposium on Discrete Algorithms, 2005, pp. 545–554.'
ista: 'Fiat A, Levy M, Matoušek J, Pach E, Sharir M, Smorodinsky S, Wagner U, Welzl
E. 2005. Online conflict-free coloring for intervals. SODA: Symposium on Discrete
Algorithms, 545–554.'
mla: Fiat, Amos, et al. Online Conflict-Free Coloring for Intervals. SIAM,
2005, pp. 545–54, doi:10.1137/S0097539704446682.
short: A. Fiat, M. Levy, J. Matoušek, E. Pach, M. Sharir, S. Smorodinsky, U. Wagner,
E. Welzl, in:, SIAM, 2005, pp. 545–554.
conference:
name: 'SODA: Symposium on Discrete Algorithms'
date_created: 2018-12-11T11:57:36Z
date_published: 2005-01-01T00:00:00Z
date_updated: 2021-01-12T06:57:25Z
day: '01'
doi: 10.1137/S0097539704446682
extern: 1
month: '01'
page: 545 - 554
publication_status: published
publisher: SIAM
publist_id: '4496'
quality_controlled: 0
status: public
title: Online conflict-free coloring for intervals
type: conference
year: '2005'
...
---
_id: '2455'
abstract:
- lang: eng
text: Local accumulation of the plant growth regulator auxin mediates pattern formation
in Arabidopsis roots and influences outgrowth and development of lateral root-
and shoot-derived primordia. However, it has remained unclear how auxin can simultaneously
regulate patterning and organ outgrowth and how its distribution is stabilized
in a primordium-specif ic manner. Here we show that five PIN genes collectively
control auxin distribution to regulate cell division and cell expansion in the
primary root. Furthermore, the joint action of these genes has an important role
in pattern formation by focusing the auxin maximum and restricting the expression
domain of PLETHORA (PLT) genes, major determinants for root stem cell specification.
In turn, PLT genes are required for PIN gene transcription to stabilize the auxin
maximum at the distal root tip. Our data reveal an interaction network of auxin
transport facilitators and root fate determinants that control patterning and
growth of the root primordium.
author:
- first_name: Ikram
full_name: Billou, Ikram
last_name: Billou
- first_name: Jian
full_name: Xu, Jian
last_name: Xu
- first_name: Marjolein
full_name: Wildwater, Marjolein
last_name: Wildwater
- first_name: Viola
full_name: Willemsen, Viola
last_name: Willemsen
- first_name: Ivan
full_name: Paponov, Ivan A
last_name: Paponov
- first_name: Jirí
full_name: Jirí Friml
id: 4159519E-F248-11E8-B48F-1D18A9856A87
last_name: Friml
orcid: 0000-0002-8302-7596
- first_name: Renze
full_name: Heldstra, Renze
last_name: Heldstra
- first_name: Mitsuhiro
full_name: Aida, Mitsuhiro
last_name: Aida
- first_name: Klaus
full_name: Palme, Klaus J
last_name: Palme
- first_name: Ben
full_name: Scheres, Ben
last_name: Scheres
citation:
ama: Billou I, Xu J, Wildwater M, et al. The PIN auxin efflux facilitator network
controls growth and patterning in Arabidopsis roots. Nature. 2005;433(7021):39-44.
doi:10.1038/nature03184
apa: Billou, I., Xu, J., Wildwater, M., Willemsen, V., Paponov, I., Friml, J., …
Scheres, B. (2005). The PIN auxin efflux facilitator network controls growth and
patterning in Arabidopsis roots. Nature. Nature Publishing Group. https://doi.org/10.1038/nature03184
chicago: Billou, Ikram, Jian Xu, Marjolein Wildwater, Viola Willemsen, Ivan Paponov,
Jiří Friml, Renze Heldstra, Mitsuhiro Aida, Klaus Palme, and Ben Scheres. “The
PIN Auxin Efflux Facilitator Network Controls Growth and Patterning in Arabidopsis
Roots.” Nature. Nature Publishing Group, 2005. https://doi.org/10.1038/nature03184.
ieee: I. Billou et al., “The PIN auxin efflux facilitator network controls
growth and patterning in Arabidopsis roots,” Nature, vol. 433, no. 7021.
Nature Publishing Group, pp. 39–44, 2005.
ista: Billou I, Xu J, Wildwater M, Willemsen V, Paponov I, Friml J, Heldstra R,
Aida M, Palme K, Scheres B. 2005. The PIN auxin efflux facilitator network controls
growth and patterning in Arabidopsis roots. Nature. 433(7021), 39–44.
mla: Billou, Ikram, et al. “The PIN Auxin Efflux Facilitator Network Controls Growth
and Patterning in Arabidopsis Roots.” Nature, vol. 433, no. 7021, Nature
Publishing Group, 2005, pp. 39–44, doi:10.1038/nature03184.
short: I. Billou, J. Xu, M. Wildwater, V. Willemsen, I. Paponov, J. Friml, R. Heldstra,
M. Aida, K. Palme, B. Scheres, Nature 433 (2005) 39–44.
date_created: 2018-12-11T11:57:46Z
date_published: 2005-01-01T00:00:00Z
date_updated: 2021-01-12T06:57:35Z
day: '01'
doi: 10.1038/nature03184
extern: 1
intvolume: ' 433'
issue: '7021'
month: '01'
page: 39 - 44
publication: Nature
publication_status: published
publisher: Nature Publishing Group
publist_id: '4448'
quality_controlled: 0
status: public
title: The PIN auxin efflux facilitator network controls growth and patterning in
Arabidopsis roots
type: journal_article
volume: 433
year: '2005'
...
---
_id: '2463'
author:
- first_name: J
full_name: Dubová, J
last_name: Dubová
- first_name: Jan
full_name: Hejátko, Jan
last_name: Hejátko
- first_name: Jirí
full_name: Jirí Friml
id: 4159519E-F248-11E8-B48F-1D18A9856A87
last_name: Friml
orcid: 0000-0002-8302-7596
citation:
ama: 'Dubová J, Hejátko J, Friml J. Reproduction, plants. In: Meyers R, ed. Encyclopedia
of Molecular Cell Biology and Molecular Medicine. Vol 12. Wiley-Blackwell;
2005:249-295. doi:10.1002/3527600906'
apa: Dubová, J., Hejátko, J., & Friml, J. (2005). Reproduction, plants. In R.
Meyers (Ed.), Encyclopedia of Molecular Cell Biology and Molecular Medicine
(Vol. 12, pp. 249–295). Wiley-Blackwell. https://doi.org/10.1002/3527600906
chicago: Dubová, J, Jan Hejátko, and Jiří Friml. “Reproduction, Plants.” In Encyclopedia
of Molecular Cell Biology and Molecular Medicine, edited by Robert Meyers,
12:249–95. Wiley-Blackwell, 2005. https://doi.org/10.1002/3527600906.
ieee: J. Dubová, J. Hejátko, and J. Friml, “Reproduction, plants,” in Encyclopedia
of Molecular Cell Biology and Molecular Medicine, vol. 12, R. Meyers, Ed.
Wiley-Blackwell, 2005, pp. 249–295.
ista: 'Dubová J, Hejátko J, Friml J. 2005.Reproduction, plants. In: Encyclopedia
of Molecular Cell Biology and Molecular Medicine. vol. 12, 249–295.'
mla: Dubová, J., et al. “Reproduction, Plants.” Encyclopedia of Molecular Cell
Biology and Molecular Medicine, edited by Robert Meyers, vol. 12, Wiley-Blackwell,
2005, pp. 249–95, doi:10.1002/3527600906.
short: J. Dubová, J. Hejátko, J. Friml, in:, R. Meyers (Ed.), Encyclopedia of Molecular
Cell Biology and Molecular Medicine, Wiley-Blackwell, 2005, pp. 249–295.
date_created: 2018-12-11T11:57:48Z
date_published: 2005-10-28T00:00:00Z
date_updated: 2021-01-12T06:57:38Z
day: '28'
doi: 10.1002/3527600906
editor:
- first_name: Robert
full_name: Meyers, Robert A
last_name: Meyers
extern: 1
intvolume: ' 12'
month: '10'
page: 249 - 295
publication: Encyclopedia of Molecular Cell Biology and Molecular Medicine
publication_status: published
publisher: Wiley-Blackwell
publist_id: '4440'
quality_controlled: 0
status: public
title: Reproduction, plants
type: book_chapter
volume: 12
year: '2005'
...
---
_id: '2464'
alternative_title:
- Annual Plant Reviews
author:
- first_name: Jirí
full_name: Jirí Friml
id: 4159519E-F248-11E8-B48F-1D18A9856A87
last_name: Friml
orcid: 0000-0002-8302-7596
- first_name: Justyna
full_name: Wiśniewska, Justyna
last_name: Wiśniewska
citation:
ama: 'Friml J, Wiśniewska J. Auxin as an intercellular signal. In: Fleming A, ed.
Intercellular Communication in Plants. Vol 16. Wiley-Blackwell; 2005.'
apa: Friml, J., & Wiśniewska, J. (2005). Auxin as an intercellular signal. In
A. Fleming (Ed.), Intercellular Communication in Plants (Vol. 16). Wiley-Blackwell.
chicago: Friml, Jiří, and Justyna Wiśniewska. “Auxin as an Intercellular Signal.”
In Intercellular Communication in Plants, edited by Andrew Fleming, Vol.
16. Wiley-Blackwell, 2005.
ieee: J. Friml and J. Wiśniewska, “Auxin as an intercellular signal,” in Intercellular
Communication in Plants, vol. 16, A. Fleming, Ed. Wiley-Blackwell, 2005.
ista: 'Friml J, Wiśniewska J. 2005.Auxin as an intercellular signal. In: Intercellular
Communication in Plants. Annual Plant Reviews, vol. 16.'
mla: Friml, Jiří, and Justyna Wiśniewska. “Auxin as an Intercellular Signal.” Intercellular
Communication in Plants, edited by Andrew Fleming, vol. 16, Wiley-Blackwell,
2005.
short: J. Friml, J. Wiśniewska, in:, A. Fleming (Ed.), Intercellular Communication
in Plants, Wiley-Blackwell, 2005.
date_created: 2018-12-11T11:57:49Z
date_published: 2005-01-13T00:00:00Z
date_updated: 2021-01-12T06:57:38Z
day: '13'
editor:
- first_name: Andrew
full_name: Fleming, Andrew J.
last_name: Fleming
extern: 1
intvolume: ' 16'
month: '01'
publication: Intercellular Communication in Plants
publication_status: published
publisher: Wiley-Blackwell
publist_id: '4439'
quality_controlled: 0
status: public
title: Auxin as an intercellular signal
type: book_chapter
volume: 16
year: '2005'
...
---
_id: '2647'
abstract:
- lang: eng
text: 'Our understanding of the role played by neurotransmitter receptors in the
developing brain has advanced in recent years. The major excitatory and inhibitory
neurotransmitters in the brain, glutamate and GABA, activate both ionotropic (ligand-gated
ion channels) and metabotropic (G protein-coupled) receptors, and are generally
associated with neuronal communication in the mature brain. However, before the
emergence of their role in neurotransmission in adulthood, they also act to influence
earlier developmental events, some of which occur prior to synapse formation:
such as proliferation, migration, differentiation or survival processes during
neural development. To fulfill these actions in the constructing of the nervous
system, different types of glutamate and GABA receptors need to be expressed both
at the right time and at the right place. The identification by molecular cloning
of 16 ionotropic glutamate receptor subunits, eight metabotropic glutamate receptor
subtypes, 21 ionotropic and two metabotropic GABA receptor subunits, some of which
exist in alternatively splice variants, has enriched our appreciation of how molecular
diversity leads to functional diversity in the brain. It now appears that many
different types of glutamate and GABA receptor subunits have prominent expression
in the embryonic and/or postnatal brain, whereas others are mainly present in
the adult brain. Although the significance of this differential expression of
subunits is not fully understood, it appears that the change in subunit composition
is essential for normal development in particular brain regions. This review focuses
on emerging information relating to the expression and role of glutamatergic and
GABAergic neurotransmitter receptors during prenatal and postnatal development.'
author:
- first_name: Rafael
full_name: Luján, Rafael
last_name: Luján
- first_name: Ryuichi
full_name: Ryuichi Shigemoto
id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
last_name: Shigemoto
orcid: 0000-0001-8761-9444
- first_name: Guillermina
full_name: López-Bendito, Guillermina
last_name: López Bendito
citation:
ama: Luján R, Shigemoto R, López Bendito G. Glutamate and GABA receptor signalling
in the developing brain. Neuroscience. 2005;130(3):567-580. doi:10.1016/j.neuroscience.2004.09.042
apa: Luján, R., Shigemoto, R., & López Bendito, G. (2005). Glutamate and GABA
receptor signalling in the developing brain. Neuroscience. Elsevier. https://doi.org/10.1016/j.neuroscience.2004.09.042
chicago: Luján, Rafael, Ryuichi Shigemoto, and Guillermina López Bendito. “Glutamate
and GABA Receptor Signalling in the Developing Brain.” Neuroscience. Elsevier,
2005. https://doi.org/10.1016/j.neuroscience.2004.09.042.
ieee: R. Luján, R. Shigemoto, and G. López Bendito, “Glutamate and GABA receptor
signalling in the developing brain,” Neuroscience, vol. 130, no. 3. Elsevier,
pp. 567–580, 2005.
ista: Luján R, Shigemoto R, López Bendito G. 2005. Glutamate and GABA receptor signalling
in the developing brain. Neuroscience. 130(3), 567–580.
mla: Luján, Rafael, et al. “Glutamate and GABA Receptor Signalling in the Developing
Brain.” Neuroscience, vol. 130, no. 3, Elsevier, 2005, pp. 567–80, doi:10.1016/j.neuroscience.2004.09.042.
short: R. Luján, R. Shigemoto, G. López Bendito, Neuroscience 130 (2005) 567–580.
date_created: 2018-12-11T11:58:51Z
date_published: 2005-01-01T00:00:00Z
date_updated: 2020-07-14T12:45:44Z
day: '01'
doi: 10.1016/j.neuroscience.2004.09.042
extern: 1
intvolume: ' 130'
issue: '3'
month: '01'
page: 567 - 580
publication: Neuroscience
publication_status: published
publisher: Elsevier
publist_id: '4250'
quality_controlled: 0
status: public
title: Glutamate and GABA receptor signalling in the developing brain
type: review
volume: 130
year: '2005'
...
---
_id: '2648'
abstract:
- lang: eng
text: Hyperpolarization-activated and cyclic nucleotide-gated (HCN) channels are
involved in the control of neuronal excitability and plasticity. In this study,
we used immunoblotting and immunohistochemical techniques to reveal the developmental
expression and subcellular distribution of the HCN1 subunit in the cerebellar
cortex. During postnatal development, the spatio-temporal expression of HCN1 correlated
well with the morphological events occurring during the ontogenesis of cerebellar
interneurons. Using immunoblotting techniques, HCN1 was weakly detected during
the first postnatal week and continued to increase throughout postnatal development,
peaking at postnatal day (P)15. At the light-microscopic level, HCN1 immunoreactivity
was very weak until P7 whereas from P10-12 to adulthood it was strongly detected
in the lower third of the molecular layer and in the Purkinje cell layer. HCN1
was present in axons running through the molecular layer and in the pericellular
basket around Purkinje cells at P12, but in the periaxonal plexus (the pinceau)
surrounding their initial segment only after P15. Using immunofluorescence, HCN1
colocalized with GAD65 and synaptophysin, demonstrating that the subunit was present
in inhibitory axons and axon terminals. At the electron-microscopic level, in
adulthood, HCN1 immunoparticles were detected at postsynaptic sites in basket
and Purkinje cells but most immunoparticles were found at presynaptic sites in
basket cell axons and in terminals. In the axon terminals, the distribution of
HCN1 was relatively uniform along the extrasynaptic plasma membrane; this was
confirmed using quantitative techniques. The present findings suggest that HCN1
channels may provide a significant route for modulating co-ordinated cerebellar
synaptic transmission through basket cells.
author:
- first_name: Rafael
full_name: Luján, Rafael
last_name: Luján
- first_name: José
full_name: Albasanz, José L
last_name: Albasanz
- first_name: Ryuichi
full_name: Ryuichi Shigemoto
id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
last_name: Shigemoto
orcid: 0000-0001-8761-9444
- first_name: José
full_name: Juíz, José M
last_name: Juíz
citation:
ama: Luján R, Albasanz J, Shigemoto R, Juíz J. Preferential localization of the
hyperpolarization-activated cyclic nucleotide-gated cation channel subunit HCN1
in basket cell terminals of the rat cerebellum. European Journal of Neuroscience.
2005;21(8):2073-2082. doi:10.1111/j.1460-9568.2005.04043.x
apa: Luján, R., Albasanz, J., Shigemoto, R., & Juíz, J. (2005). Preferential
localization of the hyperpolarization-activated cyclic nucleotide-gated cation
channel subunit HCN1 in basket cell terminals of the rat cerebellum. European
Journal of Neuroscience. Wiley-Blackwell. https://doi.org/10.1111/j.1460-9568.2005.04043.x
chicago: Luján, Rafael, José Albasanz, Ryuichi Shigemoto, and José Juíz. “Preferential
Localization of the Hyperpolarization-Activated Cyclic Nucleotide-Gated Cation
Channel Subunit HCN1 in Basket Cell Terminals of the Rat Cerebellum.” European
Journal of Neuroscience. Wiley-Blackwell, 2005. https://doi.org/10.1111/j.1460-9568.2005.04043.x.
ieee: R. Luján, J. Albasanz, R. Shigemoto, and J. Juíz, “Preferential localization
of the hyperpolarization-activated cyclic nucleotide-gated cation channel subunit
HCN1 in basket cell terminals of the rat cerebellum,” European Journal of Neuroscience,
vol. 21, no. 8. Wiley-Blackwell, pp. 2073–2082, 2005.
ista: Luján R, Albasanz J, Shigemoto R, Juíz J. 2005. Preferential localization
of the hyperpolarization-activated cyclic nucleotide-gated cation channel subunit
HCN1 in basket cell terminals of the rat cerebellum. European Journal of Neuroscience.
21(8), 2073–2082.
mla: Luján, Rafael, et al. “Preferential Localization of the Hyperpolarization-Activated
Cyclic Nucleotide-Gated Cation Channel Subunit HCN1 in Basket Cell Terminals of
the Rat Cerebellum.” European Journal of Neuroscience, vol. 21, no. 8,
Wiley-Blackwell, 2005, pp. 2073–82, doi:10.1111/j.1460-9568.2005.04043.x.
short: R. Luján, J. Albasanz, R. Shigemoto, J. Juíz, European Journal of Neuroscience
21 (2005) 2073–2082.
date_created: 2018-12-11T11:58:52Z
date_published: 2005-04-01T00:00:00Z
date_updated: 2021-01-12T06:58:48Z
day: '01'
doi: 10.1111/j.1460-9568.2005.04043.x
extern: 1
intvolume: ' 21'
issue: '8'
month: '04'
page: 2073 - 2082
publication: European Journal of Neuroscience
publication_status: published
publisher: Wiley-Blackwell
publist_id: '4248'
quality_controlled: 0
status: public
title: Preferential localization of the hyperpolarization-activated cyclic nucleotide-gated
cation channel subunit HCN1 in basket cell terminals of the rat cerebellum
type: journal_article
volume: 21
year: '2005'
...
---
_id: '2649'
abstract:
- lang: eng
text: The number of ionotropic receptors in synapses is an essential factor for
determining the efficacy of fast transmission. We estimated the number of functional
AMPA receptors at single postsynaptic sites by a combination of two-photon uncaging
of glutamate and the nonstationary fluctuation analysis in immature rat Purkinje
cells (PCs), which receive a single type of excitatory input from climbing fibers.
Areas of postsynaptic membrane specialization at the recorded synapses were measured
by reconstruction of serial ultrathin sections. The number of functional AMPA
receptors was proportional to the synaptic area with a density of ∼ 1280 receptors/μm
2. Moreover, highly sensitive freeze-fracture replica labeling revealed a homogeneous
density of immunogold particles for AMPA receptors in synaptic sites (910 ± 36
particles/μm 2) and much lower density in extrasynaptic sites (19 ± 2 particles/μm
2) in the immature PCs. Our results indicate that in this developing synapse,
the efficacy of transmission is determined by the synaptic area.
author:
- first_name: Junichi
full_name: Tanaka, Junichi
last_name: Tanaka
- first_name: Masanori
full_name: Matsuzaki, Masanori
last_name: Matsuzaki
- first_name: Etsuko
full_name: Tarusawa, Etsuko
last_name: Tarusawa
- first_name: Akiko
full_name: Momiyama, Akiko
last_name: Momiyama
- first_name: Elek
full_name: Molnár, Elek
last_name: Molnár
- first_name: Haruo
full_name: Kasai, Haruo
last_name: Kasai
- first_name: Ryuichi
full_name: Ryuichi Shigemoto
id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
last_name: Shigemoto
orcid: 0000-0001-8761-9444
citation:
ama: Tanaka J, Matsuzaki M, Tarusawa E, et al. Number and density of AMPA receptors
in single synapses in immature cerebellum. Journal of Neuroscience. 2005;25(4):799-807.
doi:10.1523/JNEUROSCI.4256-04.2005
apa: Tanaka, J., Matsuzaki, M., Tarusawa, E., Momiyama, A., Molnár, E., Kasai, H.,
& Shigemoto, R. (2005). Number and density of AMPA receptors in single synapses
in immature cerebellum. Journal of Neuroscience. Society for Neuroscience.
https://doi.org/10.1523/JNEUROSCI.4256-04.2005
chicago: Tanaka, Junichi, Masanori Matsuzaki, Etsuko Tarusawa, Akiko Momiyama, Elek
Molnár, Haruo Kasai, and Ryuichi Shigemoto. “Number and Density of AMPA Receptors
in Single Synapses in Immature Cerebellum.” Journal of Neuroscience. Society
for Neuroscience, 2005. https://doi.org/10.1523/JNEUROSCI.4256-04.2005.
ieee: J. Tanaka et al., “Number and density of AMPA receptors in single synapses
in immature cerebellum,” Journal of Neuroscience, vol. 25, no. 4. Society
for Neuroscience, pp. 799–807, 2005.
ista: Tanaka J, Matsuzaki M, Tarusawa E, Momiyama A, Molnár E, Kasai H, Shigemoto
R. 2005. Number and density of AMPA receptors in single synapses in immature cerebellum.
Journal of Neuroscience. 25(4), 799–807.
mla: Tanaka, Junichi, et al. “Number and Density of AMPA Receptors in Single Synapses
in Immature Cerebellum.” Journal of Neuroscience, vol. 25, no. 4, Society
for Neuroscience, 2005, pp. 799–807, doi:10.1523/JNEUROSCI.4256-04.2005.
short: J. Tanaka, M. Matsuzaki, E. Tarusawa, A. Momiyama, E. Molnár, H. Kasai, R.
Shigemoto, Journal of Neuroscience 25 (2005) 799–807.
date_created: 2018-12-11T11:58:52Z
date_published: 2005-01-26T00:00:00Z
date_updated: 2021-01-12T06:58:48Z
day: '26'
doi: 10.1523/JNEUROSCI.4256-04.2005
extern: 1
intvolume: ' 25'
issue: '4'
month: '01'
page: 799 - 807
publication: Journal of Neuroscience
publication_status: published
publisher: Society for Neuroscience
publist_id: '4249'
quality_controlled: 0
status: public
title: Number and density of AMPA receptors in single synapses in immature cerebellum
type: journal_article
volume: 25
year: '2005'
...
---
_id: '2650'
abstract:
- lang: eng
text: 'Septohippocampal cholinergic neurons play key roles in learning and memory
processes, and in the generation of hippocampal theta rhythm. The range of receptors
for endogenous modulators expressed on these neurons is unclear. Here we describe
GABAB 1a/b receptor (GABABR) and type 1 cannabinoid receptor (CB1R) expression
in rat septal cholinergic [i.e. choline acetyltransferase (ChAT)-positive] cells.
Using double immunofluorescent staining, we found that almost two-thirds of the
cholinergic cells in the rat medial septum were GABABR positive, and that these
cells had significantly larger somata than did GABABR-negative cholinergic neurons.
We detected CB1R labelling in somata after axonal protein transport was blocked
by colchicine. In these animals about one-third of the cholinergic cells were
CB1R positive. These cells again had larger somata than CB1R-negative cholinergic
neurons. The analyses confirmed that the size of GABABR-positive and CB 1R-positive
cholinergic cells were alike, and all CB 1R-positive cholinergic cells were GABABR
positive as well. CB1R-positive cells were invariably ChAT positive. All retrogradely
labelled septohippocampal cholinergic cells were positive for GABABR and at least
half of them also for CB1R. These data shed light on the existence of at least
two cholinergic cell types in the medial septum: one expresses GABABR and CB1R,
has large somata and projects to the hippocampus, whereas the other is negative
for GABABR and CB1R and has smaller somata. The results also suggest that cholinergic
transmission in the hippocampus is fine-tuned by endocannabinoid signalling.'
author:
- first_name: Gábor
full_name: Nyíri, Gábor
last_name: Nyíri
- first_name: Eszter
full_name: Szabadits, Eszter
last_name: Szabadits
- first_name: Csaba
full_name: Cserép, Csaba
last_name: Cserép
- first_name: Ken
full_name: Mackie, Ken P
last_name: Mackie
- first_name: Ryuichi
full_name: Ryuichi Shigemoto
id: 499F3ABC-F248-11E8-B48F-1D18A9856A87
last_name: Shigemoto
orcid: 0000-0001-8761-9444
- first_name: Tamás
full_name: Freund, Tamás F
last_name: Freund
citation:
ama: Nyíri G, Szabadits E, Cserép C, Mackie K, Shigemoto R, Freund T. GABAB and
CB1 cannabinoid receptor expression identifies two types of septal cholinergic
neurons. European Journal of Neuroscience. 2005;21(11):3034-3042. doi:10.1111/j.1460-9568.2005.04146.x
apa: Nyíri, G., Szabadits, E., Cserép, C., Mackie, K., Shigemoto, R., & Freund,
T. (2005). GABAB and CB1 cannabinoid receptor expression identifies two types
of septal cholinergic neurons. European Journal of Neuroscience. Wiley-Blackwell.
https://doi.org/10.1111/j.1460-9568.2005.04146.x
chicago: Nyíri, Gábor, Eszter Szabadits, Csaba Cserép, Ken Mackie, Ryuichi Shigemoto,
and Tamás Freund. “GABAB and CB1 Cannabinoid Receptor Expression Identifies Two
Types of Septal Cholinergic Neurons.” European Journal of Neuroscience.
Wiley-Blackwell, 2005. https://doi.org/10.1111/j.1460-9568.2005.04146.x.
ieee: G. Nyíri, E. Szabadits, C. Cserép, K. Mackie, R. Shigemoto, and T. Freund,
“GABAB and CB1 cannabinoid receptor expression identifies two types of septal
cholinergic neurons,” European Journal of Neuroscience, vol. 21, no. 11.
Wiley-Blackwell, pp. 3034–3042, 2005.
ista: Nyíri G, Szabadits E, Cserép C, Mackie K, Shigemoto R, Freund T. 2005. GABAB
and CB1 cannabinoid receptor expression identifies two types of septal cholinergic
neurons. European Journal of Neuroscience. 21(11), 3034–3042.
mla: Nyíri, Gábor, et al. “GABAB and CB1 Cannabinoid Receptor Expression Identifies
Two Types of Septal Cholinergic Neurons.” European Journal of Neuroscience,
vol. 21, no. 11, Wiley-Blackwell, 2005, pp. 3034–42, doi:10.1111/j.1460-9568.2005.04146.x.
short: G. Nyíri, E. Szabadits, C. Cserép, K. Mackie, R. Shigemoto, T. Freund, European
Journal of Neuroscience 21 (2005) 3034–3042.
date_created: 2018-12-11T11:58:52Z
date_published: 2005-06-01T00:00:00Z
date_updated: 2021-01-12T06:58:49Z
day: '01'
doi: 10.1111/j.1460-9568.2005.04146.x
extern: 1
intvolume: ' 21'
issue: '11'
month: '06'
page: 3034 - 3042
publication: European Journal of Neuroscience
publication_status: published
publisher: Wiley-Blackwell
publist_id: '4247'
quality_controlled: 0
status: public
title: GABAB and CB1 cannabinoid receptor expression identifies two types of septal
cholinergic neurons
type: journal_article
volume: 21
year: '2005'
...