---
_id: '208'
abstract:
- lang: eng
text: For any ε > 0 and any diagonal quadratic form Q ∈ ℤ[x 1, x 2, x 3, x 4]
with a square-free discriminant of modulus Δ Q ≠ 0, we establish the uniform estimate
≪ε B 3/2+ε + B 2+ε/Δ Q 1/6 for the number of rational points of height at most
B lying in the projective surface Q = 0.
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. Counting rational points on diagonal quadratic surfaces. Quarterly
Journal of Mathematics. 2003;54(1):11-31. doi:10.1093/qjmath/54.1.11
apa: Browning, T. D. (2003). Counting rational points on diagonal quadratic surfaces.
Quarterly Journal of Mathematics. Oxford University Press. https://doi.org/10.1093/qjmath/54.1.11
chicago: Browning, Timothy D. “Counting Rational Points on Diagonal Quadratic Surfaces.”
Quarterly Journal of Mathematics. Oxford University Press, 2003. https://doi.org/10.1093/qjmath/54.1.11.
ieee: T. D. Browning, “Counting rational points on diagonal quadratic surfaces,”
Quarterly Journal of Mathematics, vol. 54, no. 1. Oxford University Press,
pp. 11–31, 2003.
ista: Browning TD. 2003. Counting rational points on diagonal quadratic surfaces.
Quarterly Journal of Mathematics. 54(1), 11–31.
mla: Browning, Timothy D. “Counting Rational Points on Diagonal Quadratic Surfaces.”
Quarterly Journal of Mathematics, vol. 54, no. 1, Oxford University Press,
2003, pp. 11–31, doi:10.1093/qjmath/54.1.11.
short: T.D. Browning, Quarterly Journal of Mathematics 54 (2003) 11–31.
date_created: 2018-12-11T11:45:13Z
date_published: 2003-03-01T00:00:00Z
date_updated: 2021-01-12T06:55:10Z
day: '01'
doi: 10.1093/qjmath/54.1.11
extern: 1
intvolume: ' 54'
issue: '1'
month: '03'
page: 11 - 31
publication: Quarterly Journal of Mathematics
publication_status: published
publisher: Oxford University Press
publist_id: '7705'
quality_controlled: 0
status: public
title: Counting rational points on diagonal quadratic surfaces
type: journal_article
volume: 54
year: '2003'
...
---
_id: '2337'
alternative_title:
- Contemporary Mathematics
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. Bose-Einstein condensation of dilute gases in traps .
In: Karpeshina Y, Weikard R, Zeng Y, eds. Vol 327. American Mathematical Society;
2003:239-250. doi:10.1090/conm/327/05818'
apa: Lieb, É., & Seiringer, R. (2003). Bose-Einstein condensation of dilute
gases in traps . In Y. Karpeshina, R. Weikard, & Y. Zeng (Eds.) (Vol. 327,
pp. 239–250). Presented at the Differential Equations and Mathematical Physics,
American Mathematical Society. https://doi.org/10.1090/conm/327/05818
chicago: Lieb, Élliott, and Robert Seiringer. “Bose-Einstein Condensation of Dilute
Gases in Traps .” edited by Yulia Karpeshina, Rudi Weikard, and Yanni Zeng, 327:239–50.
American Mathematical Society, 2003. https://doi.org/10.1090/conm/327/05818.
ieee: É. Lieb and R. Seiringer, “Bose-Einstein condensation of dilute gases in traps
,” presented at the Differential Equations and Mathematical Physics, 2003, vol.
327, pp. 239–250.
ista: Lieb É, Seiringer R. 2003. Bose-Einstein condensation of dilute gases in traps
. Differential Equations and Mathematical Physics, Contemporary Mathematics, vol.
327, 239–250.
mla: Lieb, Élliott, and Robert Seiringer. Bose-Einstein Condensation of Dilute
Gases in Traps . Edited by Yulia Karpeshina et al., vol. 327, American Mathematical
Society, 2003, pp. 239–50, doi:10.1090/conm/327/05818.
short: É. Lieb, R. Seiringer, in:, Y. Karpeshina, R. Weikard, Y. Zeng (Eds.), American
Mathematical Society, 2003, pp. 239–250.
conference:
name: Differential Equations and Mathematical Physics
date_created: 2018-12-11T11:57:04Z
date_published: 2003-01-01T00:00:00Z
date_updated: 2021-01-12T06:56:52Z
day: '01'
doi: 10.1090/conm/327/05818
editor:
- first_name: Yulia
full_name: Karpeshina, Yulia
last_name: Karpeshina
- first_name: Rudi
full_name: Weikard, Rudi
last_name: Weikard
- first_name: Yanni
full_name: Zeng, Yanni
last_name: Zeng
extern: 1
intvolume: ' 327'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/math-ph/0210028
month: '01'
oa: 1
page: 239 - 250
publication_status: published
publisher: American Mathematical Society
publist_id: '4589'
quality_controlled: 0
status: public
title: 'Bose-Einstein condensation of dilute gases in traps '
type: conference
volume: 327
year: '2003'
...
---
_id: '2354'
abstract:
- lang: eng
text: We investigate the ground state properties of a gas of interacting particles
confined in an external potential in three dimensions and subject to rotation
around an axis of symmetry. We consider the Gross-Pitaevskii (GP) limit of a dilute
gas. Analysing both the absolute and the bosonic ground states of the system,
we show, in particular, their different behaviour for a certain range of parameters.
This parameter range is determined by the question whether the rotational symmetry
in the minimizer of the GP functional is broken or not. For the absolute ground
state, we prove that in the GP limit a modified GP functional depending on density
matrices correctly describes the energy and reduced density matrices, independent
of symmetry breaking. For the bosonic ground state this holds true if and only
if the symmetry is unbroken.
author:
- first_name: Robert
full_name: Robert Seiringer
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: 'Seiringer R. Ground state asymptotics of a dilute, rotating gas. Journal
of Physics A: Mathematical and Theoretical. 2003;36(37):9755-9778. doi:10.1088/0305-4470/36/37/312'
apa: 'Seiringer, R. (2003). Ground state asymptotics of a dilute, rotating gas.
Journal of Physics A: Mathematical and Theoretical. IOP Publishing Ltd.
https://doi.org/10.1088/0305-4470/36/37/312'
chicago: 'Seiringer, Robert. “Ground State Asymptotics of a Dilute, Rotating Gas.”
Journal of Physics A: Mathematical and Theoretical. IOP Publishing Ltd.,
2003. https://doi.org/10.1088/0305-4470/36/37/312.'
ieee: 'R. Seiringer, “Ground state asymptotics of a dilute, rotating gas,” Journal
of Physics A: Mathematical and Theoretical, vol. 36, no. 37. IOP Publishing
Ltd., pp. 9755–9778, 2003.'
ista: 'Seiringer R. 2003. Ground state asymptotics of a dilute, rotating gas. Journal
of Physics A: Mathematical and Theoretical. 36(37), 9755–9778.'
mla: 'Seiringer, Robert. “Ground State Asymptotics of a Dilute, Rotating Gas.” Journal
of Physics A: Mathematical and Theoretical, vol. 36, no. 37, IOP Publishing
Ltd., 2003, pp. 9755–78, doi:10.1088/0305-4470/36/37/312.'
short: 'R. Seiringer, Journal of Physics A: Mathematical and Theoretical 36 (2003)
9755–9778.'
date_created: 2018-12-11T11:57:10Z
date_published: 2003-09-19T00:00:00Z
date_updated: 2021-01-12T06:56:59Z
day: '19'
doi: 10.1088/0305-4470/36/37/312
extern: 1
intvolume: ' 36'
issue: '37'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/math-ph/0306022
month: '09'
oa: 1
page: 9755 - 9778
publication: 'Journal of Physics A: Mathematical and Theoretical'
publication_status: published
publisher: IOP Publishing Ltd.
publist_id: '4572'
quality_controlled: 0
status: public
title: Ground state asymptotics of a dilute, rotating gas
type: journal_article
volume: 36
year: '2003'
...
---
_id: '2357'
abstract:
- lang: eng
text: 'The classic Poincaré inequality bounds the L q-norm of a function f in a
bounded domain Ω ⊂ ℝ n in terms of some L p-norm of its gradient in Ω. We generalize
this in two ways: In the first generalization we remove a set Τ from Ω and concentrate
our attention on Λ = Ω \ Τ. This new domain might not even be connected and hence
no Poincaré inequality can generally hold for it, or if it does hold it might
have a very bad constant. This is so even if the volume of Τ is arbitrarily small.
A Poincaré inequality does hold, however, if one makes the additional assumption
that f has a finite L p gradient norm on the whole of Ω, not just on Λ. The important
point is that the Poincaré inequality thus obtained bounds the L q-norm of f in
terms of the L p gradient norm on Λ (not Ω) plus an additional term that goes
to zero as the volume of Τ goes to zero. This error term depends on Τ only through
its volume. Apart from this additive error term, the constant in the inequality
remains that of the ''nice'' domain Ω. In the second generalization we are given
a vector field A and replace ∇ by ∇ + iA(x) (geometrically, a connection on a
U(1) bundle). Unlike the A = 0 case, the infimum of ∥(∇ + iA)f∥ p over all f with
a given ∥f∥ q is in general not zero. This permits an improvement of the inequality
by the addition of a term whose sharp value we derive. We describe some open problems
that arise from these generalizations.'
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. Poincaré inequalities in punctured domains.
Annals of Mathematics. 2003;158(3):1067-1080. doi:10.4007/annals.2003.158.1067
apa: Lieb, É., Seiringer, R., & Yngvason, J. (2003). Poincaré inequalities in
punctured domains. Annals of Mathematics. Princeton University Press. https://doi.org/10.4007/annals.2003.158.1067
chicago: Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Poincaré Inequalities
in Punctured Domains.” Annals of Mathematics. Princeton University Press,
2003. https://doi.org/10.4007/annals.2003.158.1067
.
ieee: É. Lieb, R. Seiringer, and J. Yngvason, “Poincaré inequalities in punctured
domains,” Annals of Mathematics, vol. 158, no. 3. Princeton University
Press, pp. 1067–1080, 2003.
ista: Lieb É, Seiringer R, Yngvason J. 2003. Poincaré inequalities in punctured
domains. Annals of Mathematics. 158(3), 1067–1080.
mla: Lieb, Élliott, et al. “Poincaré Inequalities in Punctured Domains.” Annals
of Mathematics, vol. 158, no. 3, Princeton University Press, 2003, pp. 1067–80,
doi:10.4007/annals.2003.158.1067
.
short: É. Lieb, R. Seiringer, J. Yngvason, Annals of Mathematics 158 (2003) 1067–1080.
date_created: 2018-12-11T11:57:11Z
date_published: 2003-11-01T00:00:00Z
date_updated: 2021-01-12T06:57:00Z
day: '01'
doi: '10.4007/annals.2003.158.1067 '
extern: 1
intvolume: ' 158'
issue: '3'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/math/0205088
month: '11'
oa: 1
page: 1067 - 1080
publication: Annals of Mathematics
publication_status: published
publisher: Princeton University Press
publist_id: '4570'
quality_controlled: 0
status: public
title: Poincaré inequalities in punctured domains
type: journal_article
volume: 158
year: '2003'
...
---
_id: '2358'
abstract:
- lang: eng
text: A study was conducted on the one-dimensional (1D) bosons in three-dimensional
(3D) traps. A rigorous analysis was carried out on the parameter regions in which
various types of 1D or 3D behavior occurred in the ground state. The four parameter
regions include density, transverse, longitudinal dimensions and scattering length.
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. One-dimensional Bosons in three-dimensional
traps. Physical Review Letters. 2003;91(15):1504011-1504014. doi:10.1103/PhysRevLett.91.150401
apa: Lieb, É., Seiringer, R., & Yngvason, J. (2003). One-dimensional Bosons
in three-dimensional traps. Physical Review Letters. American Physical
Society. https://doi.org/10.1103/PhysRevLett.91.150401
chicago: Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “One-Dimensional Bosons
in Three-Dimensional Traps.” Physical Review Letters. American Physical
Society, 2003. https://doi.org/10.1103/PhysRevLett.91.150401.
ieee: É. Lieb, R. Seiringer, and J. Yngvason, “One-dimensional Bosons in three-dimensional
traps,” Physical Review Letters, vol. 91, no. 15. American Physical Society,
pp. 1504011–1504014, 2003.
ista: Lieb É, Seiringer R, Yngvason J. 2003. One-dimensional Bosons in three-dimensional
traps. Physical Review Letters. 91(15), 1504011–1504014.
mla: Lieb, Élliott, et al. “One-Dimensional Bosons in Three-Dimensional Traps.”
Physical Review Letters, vol. 91, no. 15, American Physical Society, 2003,
pp. 1504011–14, doi:10.1103/PhysRevLett.91.150401.
short: É. Lieb, R. Seiringer, J. Yngvason, Physical Review Letters 91 (2003) 1504011–1504014.
date_created: 2018-12-11T11:57:12Z
date_published: 2003-10-10T00:00:00Z
date_updated: 2021-01-12T06:57:00Z
day: '10'
doi: 10.1103/PhysRevLett.91.150401
extern: 1
intvolume: ' 91'
issue: '15'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/cond-mat/0304071
month: '10'
oa: 1
page: 1504011 - 1504014
publication: Physical Review Letters
publication_status: published
publisher: American Physical Society
publist_id: '4571'
quality_controlled: 0
status: public
title: One-dimensional Bosons in three-dimensional traps
type: journal_article
volume: 91
year: '2003'
...
---
_id: '2414'
author:
- first_name: Uli
full_name: Uli Wagner
id: 36690CA2-F248-11E8-B48F-1D18A9856A87
last_name: Wagner
orcid: 0000-0002-1494-0568
citation:
ama: Wagner U. On k-Sets and Their Applications. 2003. doi:10.3929/ethz-a-004708408
apa: Wagner, U. (2003). On k-Sets and Their Applications. ETH Zurich. https://doi.org/10.3929/ethz-a-004708408
chicago: Wagner, Uli. “On K-Sets and Their Applications.” ETH Zurich, 2003. https://doi.org/10.3929/ethz-a-004708408.
ieee: U. Wagner, “On k-Sets and Their Applications,” ETH Zurich, 2003.
ista: Wagner U. 2003. On k-Sets and Their Applications. ETH Zurich.
mla: Wagner, Uli. On K-Sets and Their Applications. ETH Zurich, 2003, doi:10.3929/ethz-a-004708408.
short: U. Wagner, On K-Sets and Their Applications, ETH Zurich, 2003.
date_created: 2018-12-11T11:57:31Z
date_published: 2003-01-01T00:00:00Z
date_updated: 2021-01-12T06:57:20Z
day: '01'
doi: 10.3929/ethz-a-004708408
extern: 1
month: '01'
publication_status: published
publisher: ETH Zurich
publist_id: '4511'
quality_controlled: 0
status: public
title: On k-Sets and Their Applications
type: dissertation
year: '2003'
...
---
_id: '2422'
abstract:
- lang: eng
text: We prove a lower bound of 0.3288(4 n) for the rectilinear crossing number
cr̄(Kn) of a complete graph on n vertices, or in other words, for the minimum
number of convex quadrilaterals in any set of n points in general position in
the Euclidean plane. As we see it, the main contribution of this paper is not
so much the concrete numerical improvement over earlier bounds, as the novel method
of proof, which is not based on bounding cr̄(Kn) for some small n.
author:
- first_name: Uli
full_name: Uli Wagner
id: 36690CA2-F248-11E8-B48F-1D18A9856A87
last_name: Wagner
orcid: 0000-0002-1494-0568
citation:
ama: 'Wagner U. On the rectilinear crossing number of complete graphs. In: SIAM;
2003:583-588.'
apa: 'Wagner, U. (2003). On the rectilinear crossing number of complete graphs (pp.
583–588). Presented at the SODA: Symposium on Discrete Algorithms, SIAM.'
chicago: Wagner, Uli. “On the Rectilinear Crossing Number of Complete Graphs,” 583–88.
SIAM, 2003.
ieee: 'U. Wagner, “On the rectilinear crossing number of complete graphs,” presented
at the SODA: Symposium on Discrete Algorithms, 2003, pp. 583–588.'
ista: 'Wagner U. 2003. On the rectilinear crossing number of complete graphs. SODA:
Symposium on Discrete Algorithms, 583–588.'
mla: Wagner, Uli. On the Rectilinear Crossing Number of Complete Graphs.
SIAM, 2003, pp. 583–88.
short: U. Wagner, in:, SIAM, 2003, pp. 583–588.
conference:
name: 'SODA: Symposium on Discrete Algorithms'
date_created: 2018-12-11T11:57:34Z
date_published: 2003-01-01T00:00:00Z
date_updated: 2021-01-12T06:57:24Z
day: '01'
extern: 1
main_file_link:
- open_access: '0'
url: http://dl.acm.org/citation.cfm?id=644206
month: '01'
page: 583 - 588
publication_status: published
publisher: SIAM
publist_id: '4503'
quality_controlled: 0
status: public
title: On the rectilinear crossing number of complete graphs
type: conference
year: '2003'
...
---
_id: '2423'
abstract:
- lang: eng
text: A finite set N ⊃ Rd is a weak ε-net for an n-point set X ⊃ Rd (with respect
to convex sets) if N intersects every convex set K with |K ∩ X| ≥ εn. We give
an alternative, and arguably simpler, proof of the fact, first shown by Chazelle
et al. [7], that every point set X in Rd admits a weak ε-net of cardinality O(ε-d
polylog(1/ε)). Moreover, for a number of special point sets (e.g., for points
on the moment curve), our method gives substantially better bounds. The construction
yields an algorithm to construct such weak ε-nets in time O(n ln(1/ε)). We also
prove, by a different method, a near-linear upper bound for points uniformly distributed
on the (d - 1)-dimensional sphere.
author:
- first_name: Jiří
full_name: Matoušek, Jiří
last_name: Matoušek
- first_name: Uli
full_name: Uli Wagner
id: 36690CA2-F248-11E8-B48F-1D18A9856A87
last_name: Wagner
orcid: 0000-0002-1494-0568
citation:
ama: 'Matoušek J, Wagner U. New constructions of weak epsilon-nets. In: ACM; 2003:129-135.
doi:10.1145/777792.777813'
apa: 'Matoušek, J., & Wagner, U. (2003). New constructions of weak epsilon-nets
(pp. 129–135). Presented at the SoCG: Symposium on Computational Geometry, ACM.
https://doi.org/10.1145/777792.777813'
chicago: Matoušek, Jiří, and Uli Wagner. “New Constructions of Weak Epsilon-Nets,”
129–35. ACM, 2003. https://doi.org/10.1145/777792.777813.
ieee: 'J. Matoušek and U. Wagner, “New constructions of weak epsilon-nets,” presented
at the SoCG: Symposium on Computational Geometry, 2003, pp. 129–135.'
ista: 'Matoušek J, Wagner U. 2003. New constructions of weak epsilon-nets. SoCG:
Symposium on Computational Geometry, 129–135.'
mla: Matoušek, Jiří, and Uli Wagner. New Constructions of Weak Epsilon-Nets.
ACM, 2003, pp. 129–35, doi:10.1145/777792.777813.
short: J. Matoušek, U. Wagner, in:, ACM, 2003, pp. 129–135.
conference:
name: 'SoCG: Symposium on Computational Geometry'
date_created: 2018-12-11T11:57:34Z
date_published: 2003-06-01T00:00:00Z
date_updated: 2021-01-12T06:57:24Z
day: '01'
doi: 10.1145/777792.777813
extern: 1
month: '06'
page: 129 - 135
publication_status: published
publisher: ACM
publist_id: '4502'
quality_controlled: 0
status: public
title: New constructions of weak epsilon-nets
type: conference
year: '2003'
...
---
_id: '2424'
abstract:
- lang: eng
text: We introduce the adaptive neighborhood graph as a data structure for modeling
a smooth manifold M embedded in some (potentially very high-dimensional) Euclidean
space ℝd. We assume that M is known to us only through a finite sample P ⊂ M,
as it is often the case in applications. The adaptive neighborhood graph is a
geometric graph on P. Its complexity is at most min{2O(k)(n, n2}, where n = |P|
and k = dim M, as opposed to the n⌈d/2⌉ complexity of the Delaunay triangulation,
which is often used to model manifolds. We show that we can provably correctly
infer the connectivity of M and the dimension of M from the adaptive neighborhood
graph provided a certain standard sampling condition is fulfilled. The running
time of the dimension detection algorithm is d2O(k7 log k) for each connected
component of M. If the dimension is considered constant, this is a constant-time
operation, and the adaptive neighborhood graph is of linear size. Moreover, the
exponential dependence of the constants is only on the intrinsic dimension k,
not on the ambient dimension d. This is of particular interest if the co-dimension
is high, i.e., if k is much smaller than d, as is the case in many applications.
The adaptive neighborhood graph also allows us to approximate the geodesic distances
between the points in P.
author:
- first_name: Joachim
full_name: Giesen, Joachim
last_name: Giesen
- first_name: Uli
full_name: Uli Wagner
id: 36690CA2-F248-11E8-B48F-1D18A9856A87
last_name: Wagner
orcid: 0000-0002-1494-0568
citation:
ama: 'Giesen J, Wagner U. Shape dimension and intrinsic metric from samples of manifolds
with high co-dimension. In: ACM; 2003:329-337. doi:10.1145/777792.777841'
apa: 'Giesen, J., & Wagner, U. (2003). Shape dimension and intrinsic metric
from samples of manifolds with high co-dimension (pp. 329–337). Presented at the
SoCG: Symposium on Computational Geometry, ACM. https://doi.org/10.1145/777792.777841'
chicago: Giesen, Joachim, and Uli Wagner. “Shape Dimension and Intrinsic Metric
from Samples of Manifolds with High Co-Dimension,” 329–37. ACM, 2003. https://doi.org/10.1145/777792.777841.
ieee: 'J. Giesen and U. Wagner, “Shape dimension and intrinsic metric from samples
of manifolds with high co-dimension,” presented at the SoCG: Symposium on Computational
Geometry, 2003, pp. 329–337.'
ista: 'Giesen J, Wagner U. 2003. Shape dimension and intrinsic metric from samples
of manifolds with high co-dimension. SoCG: Symposium on Computational Geometry,
329–337.'
mla: Giesen, Joachim, and Uli Wagner. Shape Dimension and Intrinsic Metric from
Samples of Manifolds with High Co-Dimension. ACM, 2003, pp. 329–37, doi:10.1145/777792.777841.
short: J. Giesen, U. Wagner, in:, ACM, 2003, pp. 329–337.
conference:
name: 'SoCG: Symposium on Computational Geometry'
date_created: 2018-12-11T11:57:35Z
date_published: 2003-06-01T00:00:00Z
date_updated: 2021-01-12T06:57:24Z
day: '01'
doi: 10.1145/777792.777841
extern: 1
month: '06'
page: 329 - 337
publication_status: published
publisher: ACM
publist_id: '4501'
quality_controlled: 0
status: public
title: Shape dimension and intrinsic metric from samples of manifolds with high co-dimension
type: conference
year: '2003'
...
---
_id: '4561'
abstract:
- lang: eng
text: 'We present a formalism for specifying component interfaces that expose component
requirements on limited resources. The formalism permits an algorithmic check
if two or more components, when put together, exceed the available resources.
Moreover, the formalism can be used to compute the quantity of resources necessary
for satisfying the requirements of a collection of components. The formalism can
be instantiated in several ways. For example, several components may draw power
from the same source. Then, the formalism supports compatibility checks such as:
can two components, when put together, achieve their tasks without ever exceeding
the available amount of peak power? or, can they achieve their tasks by using
no more than the initially available amount of energy (i.e., power accumulated
over time)? The corresponding quantitative questions that our algorithms answer
are the following: what is the amount of peak power needed for two components
to be put together? what is the corresponding amount of initial energy? To solve
these questions, we model interfaces with resource requirements as games with
quantitative objectives. The games are played on state spaces where each state
is labeled by a number (representing, e.g., power consumption), and a play produces
an infinite path of labels. The objective may be, for example, to minimize the
largest label that occurs during a play. We illustrate our approach by modeling
compatibility questions for the components of robot control software, and of wireless
sensor networks.'
acknowledgement: This research was supported in part by the DARPA grant F33615-00-C-1693,
the MARCO grant 98-DT-660, the ONR grant N00014-02-1-0671, and the NSF grants CCR-0085949,
CCR-0132780, CCR-0234690, and CCR-9988172.
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Arindam
full_name: Chakrabarti, Arindam
last_name: Chakrabarti
- first_name: Luca
full_name: De Alfaro, Luca
last_name: De Alfaro
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Mariëlle
full_name: Stoelinga, Mariëlle
last_name: Stoelinga
citation:
ama: 'Chakrabarti A, De Alfaro L, Henzinger TA, Stoelinga M. Resource interfaces.
In: Third International Conference on Embedded Software. Vol 2855. ACM;
2003:117-133. doi:10.1007/978-3-540-45212-6_9'
apa: 'Chakrabarti, A., De Alfaro, L., Henzinger, T. A., & Stoelinga, M. (2003).
Resource interfaces. In Third International Conference on Embedded Software
(Vol. 2855, pp. 117–133). Philadelphia, PA, USA: ACM. https://doi.org/10.1007/978-3-540-45212-6_9'
chicago: Chakrabarti, Arindam, Luca De Alfaro, Thomas A Henzinger, and Mariëlle
Stoelinga. “Resource Interfaces.” In Third International Conference on Embedded
Software, 2855:117–33. ACM, 2003. https://doi.org/10.1007/978-3-540-45212-6_9.
ieee: A. Chakrabarti, L. De Alfaro, T. A. Henzinger, and M. Stoelinga, “Resource
interfaces,” in Third International Conference on Embedded Software, Philadelphia,
PA, USA, 2003, vol. 2855, pp. 117–133.
ista: 'Chakrabarti A, De Alfaro L, Henzinger TA, Stoelinga M. 2003. Resource interfaces.
Third International Conference on Embedded Software. EMSOFT: Embedded Software
, LNCS, vol. 2855, 117–133.'
mla: Chakrabarti, Arindam, et al. “Resource Interfaces.” Third International
Conference on Embedded Software, vol. 2855, ACM, 2003, pp. 117–33, doi:10.1007/978-3-540-45212-6_9.
short: A. Chakrabarti, L. De Alfaro, T.A. Henzinger, M. Stoelinga, in:, Third International
Conference on Embedded Software, ACM, 2003, pp. 117–133.
conference:
end_date: 2003-10-15
location: Philadelphia, PA, USA
name: 'EMSOFT: Embedded Software '
start_date: 2003-10-13
date_created: 2018-12-11T12:09:29Z
date_published: 2003-09-29T00:00:00Z
date_updated: 2024-01-08T10:48:11Z
day: '29'
doi: 10.1007/978-3-540-45212-6_9
extern: '1'
intvolume: ' 2855'
language:
- iso: eng
month: '09'
oa_version: None
page: 117 - 133
publication: Third International Conference on Embedded Software
publication_identifier:
isbn:
- '9783540202233'
publication_status: published
publisher: ACM
publist_id: '148'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Resource interfaces
type: conference
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 2855
year: '2003'
...
---
_id: '4628'
abstract:
- lang: eng
text: 'Discounting the future means that the value, today, of a unit payoffis 1
if the payoffo ccurs today, a if it occurs tomorrow, a 2 if it occurs the day
after tomorrow, and so on, for some real-valued discount factor 0 < a <
1. Discounting (or inflation) is a key paradigm in economics and has been studied
in Markov decision processes as well as game theory. We submit that discounting
also has a natural place in systems engineering: for nonterminating systems, a
potential bug in the far-away future is less troubling than a potential bug today.
We therefore develop a systems theory with discounting. Our theory includes several
basic elements: discounted versions of system properties that correspond to the
ω-regular properties, fixpoint-based algorithms for checking discounted properties,
and a quantitative notion of bisimilarity for capturing the difference between
two states with respect to discounted properties. We present the theory in a general
form that applies to probabilistic systems as well as multicomponent systems (games),
but it readily specializes to classical transition systems. We show that discounting,
besides its natural practical appeal, has also several mathematical benefits.
First, the resulting theory is robust, in that small perturbations of a system
can cause only small changes in the properties of the system. Second, the theory
is computational, in that the values of discounted properties, as well as the
discounted bisimilarity distance between states, can be computed to any desired
degree of precision.'
acknowledgement: This research was supported in part by the NSF CAREER award CCR-0132780,
the DARPA grant F33615-C-98-3614, the NSF grants CCR-9988172, CCR-0234690 and CCR-0225610,
and the ONR grant N00014-02-1-0671.
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Luca
full_name: De Alfaro, Luca
last_name: De Alfaro
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Ritankar
full_name: Majumdar, Ritankar
last_name: Majumdar
citation:
ama: 'De Alfaro L, Henzinger TA, Majumdar R. Discounting the future in systems theory.
In: Proceedings of the 30th International Colloquium on Automata, Languages
and Programming. Vol 2719. Springer; 2003:1022-1037. doi:10.1007/3-540-45061-0_79'
apa: 'De Alfaro, L., Henzinger, T. A., & Majumdar, R. (2003). Discounting the
future in systems theory. In Proceedings of the 30th International Colloquium
on Automata, Languages and Programming (Vol. 2719, pp. 1022–1037). Eindhoven,
The Netherlands: Springer. https://doi.org/10.1007/3-540-45061-0_79'
chicago: De Alfaro, Luca, Thomas A Henzinger, and Ritankar Majumdar. “Discounting
the Future in Systems Theory.” In Proceedings of the 30th International Colloquium
on Automata, Languages and Programming, 2719:1022–37. Springer, 2003. https://doi.org/10.1007/3-540-45061-0_79.
ieee: L. De Alfaro, T. A. Henzinger, and R. Majumdar, “Discounting the future in
systems theory,” in Proceedings of the 30th International Colloquium on Automata,
Languages and Programming, Eindhoven, The Netherlands, 2003, vol. 2719, pp.
1022–1037.
ista: 'De Alfaro L, Henzinger TA, Majumdar R. 2003. Discounting the future in systems
theory. Proceedings of the 30th International Colloquium on Automata, Languages
and Programming. ICALP: Automata, Languages and Programming, LNCS, vol. 2719,
1022–1037.'
mla: De Alfaro, Luca, et al. “Discounting the Future in Systems Theory.” Proceedings
of the 30th International Colloquium on Automata, Languages and Programming,
vol. 2719, Springer, 2003, pp. 1022–37, doi:10.1007/3-540-45061-0_79.
short: L. De Alfaro, T.A. Henzinger, R. Majumdar, in:, Proceedings of the 30th International
Colloquium on Automata, Languages and Programming, Springer, 2003, pp. 1022–1037.
conference:
end_date: 2003-07-04
location: Eindhoven, The Netherlands
name: 'ICALP: Automata, Languages and Programming'
start_date: 2003-06-30
date_created: 2018-12-11T12:09:50Z
date_published: 2003-06-25T00:00:00Z
date_updated: 2023-07-26T13:07:31Z
day: '25'
doi: 10.1007/3-540-45061-0_79
extern: '1'
intvolume: ' 2719'
language:
- iso: eng
month: '06'
oa_version: None
page: 1022 - 1037
publication: Proceedings of the 30th International Colloquium on Automata, Languages
and Programming
publication_identifier:
isbn:
- '9783540404934'
publication_status: published
publisher: Springer
publist_id: '77'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Discounting the future in systems theory
type: conference
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 2719
year: '2003'
...
---
_id: '4630'
abstract:
- lang: eng
text: We consider concurrent two-person games played in real time, in which the
players decide both which action to play, and when to play it. Such timed games
differ from untimed games in two essential ways. First, players can take each
other by surprise, because actions are played with delays that cannot be anticipated
by the opponent. Second, a player should not be able to win the game by preventing
time from diverging. We present a model of timed games that preserves the element
of surprise and accounts for time divergence in a way that treats both players
symmetrically and applies to all ω-regular winning conditions. We prove that the
ability to take each other by surprise adds extra power to the players. For the
case that the games are specified in the style of timed automata, we provide symbolic
algorithms for their solution with respect to all ω-regular winning conditions.
We also show that for these timed games, memory strategies are more powerful than
memoryless strategies already in the case of reachability objectives.
acknowledgement: Supported in part by the AFOSR MURI grant F49620-00-1-0327, the DARPA
grant F33615-C-98-3614, the MARCO grant 98-DT-660, -the ONR grant N00014-02-1-0671,
the NSF grants CCR-9988172, CCR-0225610, and CCR-0234690, the NSF CAREER award CCR-0132780,
and the MIUR grant MEFISTO.
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Luca
full_name: De Alfaro, Luca
last_name: De Alfaro
- first_name: Marco
full_name: Faella, Marco
last_name: Faella
- first_name: Thomas A
full_name: Henzinger, Thomas A
id: 40876CD8-F248-11E8-B48F-1D18A9856A87
last_name: Henzinger
orcid: 0000−0002−2985−7724
- first_name: Ritankar
full_name: Majumdar, Ritankar
last_name: Majumdar
- first_name: Mariëlle
full_name: Stoelinga, Mariëlle
last_name: Stoelinga
citation:
ama: 'De Alfaro L, Faella M, Henzinger TA, Majumdar R, Stoelinga M. The element
of surprise in timed games. In: Proceedings of the 14th International Conference
on Concurrency Theory. Vol 2761. Schloss Dagstuhl - Leibniz-Zentrum für Informatik;
2003:144-158. doi:10.1007/978-3-540-45187-7_9'
apa: 'De Alfaro, L., Faella, M., Henzinger, T. A., Majumdar, R., & Stoelinga,
M. (2003). The element of surprise in timed games. In Proceedings of the 14th
International Conference on Concurrency Theory (Vol. 2761, pp. 144–158). Marseille,
France: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.1007/978-3-540-45187-7_9'
chicago: De Alfaro, Luca, Marco Faella, Thomas A Henzinger, Ritankar Majumdar, and
Mariëlle Stoelinga. “The Element of Surprise in Timed Games.” In Proceedings
of the 14th International Conference on Concurrency Theory, 2761:144–58. Schloss
Dagstuhl - Leibniz-Zentrum für Informatik, 2003. https://doi.org/10.1007/978-3-540-45187-7_9.
ieee: L. De Alfaro, M. Faella, T. A. Henzinger, R. Majumdar, and M. Stoelinga, “The
element of surprise in timed games,” in Proceedings of the 14th International
Conference on Concurrency Theory, Marseille, France, 2003, vol. 2761, pp.
144–158.
ista: 'De Alfaro L, Faella M, Henzinger TA, Majumdar R, Stoelinga M. 2003. The element
of surprise in timed games. Proceedings of the 14th International Conference on
Concurrency Theory. CONCUR: Concurrency Theory, LNCS, vol. 2761, 144–158.'
mla: De Alfaro, Luca, et al. “The Element of Surprise in Timed Games.” Proceedings
of the 14th International Conference on Concurrency Theory, vol. 2761, Schloss
Dagstuhl - Leibniz-Zentrum für Informatik, 2003, pp. 144–58, doi:10.1007/978-3-540-45187-7_9.
short: L. De Alfaro, M. Faella, T.A. Henzinger, R. Majumdar, M. Stoelinga, in:,
Proceedings of the 14th International Conference on Concurrency Theory, Schloss
Dagstuhl - Leibniz-Zentrum für Informatik, 2003, pp. 144–158.
conference:
end_date: 2003-09-05
location: Marseille, France
name: 'CONCUR: Concurrency Theory'
start_date: 2003-09-03
date_created: 2018-12-11T12:09:51Z
date_published: 2003-08-21T00:00:00Z
date_updated: 2024-01-08T10:05:30Z
day: '21'
doi: 10.1007/978-3-540-45187-7_9
extern: '1'
intvolume: ' 2761'
language:
- iso: eng
month: '08'
oa_version: None
page: 144 - 158
publication: Proceedings of the 14th International Conference on Concurrency Theory
publication_identifier:
isbn:
- '9783540407539'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '78'
quality_controlled: '1'
scopus_import: '1'
status: public
title: The element of surprise in timed games
type: conference
user_id: ea97e931-d5af-11eb-85d4-e6957dddbf17
volume: 2761
year: '2003'
...
---
_id: '576'
abstract:
- lang: eng
text: 'We study the free expansion of a pancake-shaped Bose-condensed gas, which
is initially trapped under harmonic confinement and containing a vortex at its
centre. In the case of a radial expansion holding the axial confinement fixed
we consider various models for the interactions, depending on the thickness of
the condensate relative to the value of the scattering length. We are thus able
to evaluate different scattering regimes ranging from quasi-three-dimensional
(Q3D) to strictly two-dimensional (2D). We find that as the system goes from Q3D
to 2D the expansion rate of the condensate increases whereas that of the vortex
core decreases. In the Q3D scattering regime we also examine a fully free expansion
in 3D and find oscillatory behaviour for the vortex core radius: an initial fast
expansion of the vortex core is followed by a slowing down. Such a nonuniform
expansion rate of the vortex core implies that the timing of its observation should
be chosen appropriately.'
author:
- first_name: Onur
full_name: Onur Hosten
id: 4C02D85E-F248-11E8-B48F-1D18A9856A87
last_name: Hosten
orcid: 0000-0002-2031-204X
- first_name: Patrizia
full_name: Vignolo, Patrizia
last_name: Vignolo
- first_name: Anna
full_name: Minguzzi, Anna
last_name: Minguzzi
- first_name: Bilal
full_name: Tanatar, Bilal
last_name: Tanatar
- first_name: Mario
full_name: Tosi, Mario P
last_name: Tosi
citation:
ama: 'Hosten O, Vignolo P, Minguzzi A, Tanatar B, Tosi M. Free expansion of two-dimensional
condensates with a vortex. Journal of Physics B: Atomic, Molecular and Optical
Physics. 2003;36(12):2455-2463. doi:10.1088/0953-4075/36/12/306'
apa: 'Hosten, O., Vignolo, P., Minguzzi, A., Tanatar, B., & Tosi, M. (2003).
Free expansion of two-dimensional condensates with a vortex. Journal of Physics
B: Atomic, Molecular and Optical Physics. IOP Publishing Ltd. https://doi.org/10.1088/0953-4075/36/12/306'
chicago: 'Hosten, Onur, Patrizia Vignolo, Anna Minguzzi, Bilal Tanatar, and Mario
Tosi. “Free Expansion of Two-Dimensional Condensates with a Vortex.” Journal
of Physics B: Atomic, Molecular and Optical Physics. IOP Publishing Ltd.,
2003. https://doi.org/10.1088/0953-4075/36/12/306.'
ieee: 'O. Hosten, P. Vignolo, A. Minguzzi, B. Tanatar, and M. Tosi, “Free expansion
of two-dimensional condensates with a vortex,” Journal of Physics B: Atomic,
Molecular and Optical Physics, vol. 36, no. 12. IOP Publishing Ltd., pp. 2455–2463,
2003.'
ista: 'Hosten O, Vignolo P, Minguzzi A, Tanatar B, Tosi M. 2003. Free expansion
of two-dimensional condensates with a vortex. Journal of Physics B: Atomic, Molecular
and Optical Physics. 36(12), 2455–2463.'
mla: 'Hosten, Onur, et al. “Free Expansion of Two-Dimensional Condensates with a
Vortex.” Journal of Physics B: Atomic, Molecular and Optical Physics, vol.
36, no. 12, IOP Publishing Ltd., 2003, pp. 2455–63, doi:10.1088/0953-4075/36/12/306.'
short: 'O. Hosten, P. Vignolo, A. Minguzzi, B. Tanatar, M. Tosi, Journal of Physics
B: Atomic, Molecular and Optical Physics 36 (2003) 2455–2463.'
date_created: 2018-12-11T11:47:16Z
date_published: 2003-06-28T00:00:00Z
date_updated: 2021-01-12T08:03:20Z
day: '28'
doi: 10.1088/0953-4075/36/12/306
extern: 1
intvolume: ' 36'
issue: '12'
month: '06'
page: 2455 - 2463
publication: 'Journal of Physics B: Atomic, Molecular and Optical Physics'
publication_status: published
publisher: IOP Publishing Ltd.
publist_id: '7239'
quality_controlled: 0
status: public
title: Free expansion of two-dimensional condensates with a vortex
type: journal_article
volume: 36
year: '2003'
...
---
_id: '6156'
abstract:
- lang: eng
text: 'Social and solitary feeding in natural Caenorhabditis elegans isolates are
associated with two alleles of the orphan G-protein-coupled receptor (GPCR) NPR-1:
social feeders contain NPR-1 215F, whereas solitary feeders contain NPR-1 215V.
Here we identify FMRFamide-related neuropeptides (FaRPs) encoded by the flp-18
and flp-21 genes as NPR-1 ligands and show that these peptides can differentially
activate the NPR-1 215F and NPR-1 215V receptors. Multicopy overexpression of
flp-21 transformed wild social animals into solitary feeders. Conversely, a flp-21
deletion partially phenocopied the npr-1(null) phenotype, which is consistent
with NPR-1 activation by FLP-21 in vivo but also implicates other ligands for
NPR-1. Phylogenetic studies indicate that the dominant npr-1 215V allele likely
arose from an ancestral npr-1 215F gene in C. elegans. Our data suggest a model
in which solitary feeding evolved in an ancestral social strain of C. elegans
by a gain-of-function mutation that modified the response of NPR-1 to FLP-18 and
FLP-21 ligands.'
author:
- first_name: Candida
full_name: Rogers, Candida
last_name: Rogers
- first_name: Vincenzina
full_name: Reale, Vincenzina
last_name: Reale
- first_name: Kyuhyung
full_name: Kim, Kyuhyung
last_name: Kim
- first_name: Heather
full_name: Chatwin, Heather
last_name: Chatwin
- first_name: Chris
full_name: Li, Chris
last_name: Li
- first_name: Peter
full_name: Evans, Peter
last_name: Evans
- first_name: Mario
full_name: de Bono, Mario
id: 4E3FF80E-F248-11E8-B48F-1D18A9856A87
last_name: de Bono
orcid: 0000-0001-8347-0443
citation:
ama: Rogers C, Reale V, Kim K, et al. Inhibition of Caenorhabditis elegans social
feeding by FMRFamide-related peptide activation of NPR-1. Nature Neuroscience.
2003;6(11):1178-1185. doi:10.1038/nn1140
apa: Rogers, C., Reale, V., Kim, K., Chatwin, H., Li, C., Evans, P., & de Bono,
M. (2003). Inhibition of Caenorhabditis elegans social feeding by FMRFamide-related
peptide activation of NPR-1. Nature Neuroscience. Springer Nature. https://doi.org/10.1038/nn1140
chicago: Rogers, Candida, Vincenzina Reale, Kyuhyung Kim, Heather Chatwin, Chris
Li, Peter Evans, and Mario de Bono. “Inhibition of Caenorhabditis Elegans Social
Feeding by FMRFamide-Related Peptide Activation of NPR-1.” Nature Neuroscience.
Springer Nature, 2003. https://doi.org/10.1038/nn1140.
ieee: C. Rogers et al., “Inhibition of Caenorhabditis elegans social feeding
by FMRFamide-related peptide activation of NPR-1,” Nature Neuroscience,
vol. 6, no. 11. Springer Nature, pp. 1178–1185, 2003.
ista: Rogers C, Reale V, Kim K, Chatwin H, Li C, Evans P, de Bono M. 2003. Inhibition
of Caenorhabditis elegans social feeding by FMRFamide-related peptide activation
of NPR-1. Nature Neuroscience. 6(11), 1178–1185.
mla: Rogers, Candida, et al. “Inhibition of Caenorhabditis Elegans Social Feeding
by FMRFamide-Related Peptide Activation of NPR-1.” Nature Neuroscience,
vol. 6, no. 11, Springer Nature, 2003, pp. 1178–85, doi:10.1038/nn1140.
short: C. Rogers, V. Reale, K. Kim, H. Chatwin, C. Li, P. Evans, M. de Bono, Nature
Neuroscience 6 (2003) 1178–1185.
date_created: 2019-03-21T09:47:53Z
date_published: 2003-10-12T00:00:00Z
date_updated: 2021-01-12T08:06:25Z
day: '12'
doi: 10.1038/nn1140
extern: '1'
external_id:
pmid:
- '14555955'
intvolume: ' 6'
issue: '11'
language:
- iso: eng
month: '10'
oa_version: None
page: 1178-1185
pmid: 1
publication: Nature Neuroscience
publication_identifier:
issn:
- 1097-6256
- 1546-1726
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
status: public
title: Inhibition of Caenorhabditis elegans social feeding by FMRFamide-related peptide
activation of NPR-1
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 6
year: '2003'
...
---
_id: '6157'
abstract:
- lang: eng
text: In many animal species individuals aggregate to live in groups. A range of
experimental approaches in different animals, including studies of social feeding
in nematodes, maternal behavior in rats and sheep, and pair-bonding in voles,
are providing insights into the neural bases for these behaviors. These studies
are delineating multiple neural circuits and gene networks in the brain that interact
in ways that are as yet poorly understood to coordinate social behavior.
author:
- first_name: Mario
full_name: de Bono, Mario
id: 4E3FF80E-F248-11E8-B48F-1D18A9856A87
last_name: de Bono
orcid: 0000-0001-8347-0443
citation:
ama: de Bono M. Molecular approaches to aggregation behavior and social attachment.
Journal of Neurobiology. 2003;54(1):78-92. doi:10.1002/neu.10162
apa: de Bono, M. (2003). Molecular approaches to aggregation behavior and social
attachment. Journal of Neurobiology. Wiley. https://doi.org/10.1002/neu.10162
chicago: Bono, Mario de. “Molecular Approaches to Aggregation Behavior and Social
Attachment.” Journal of Neurobiology. Wiley, 2003. https://doi.org/10.1002/neu.10162.
ieee: M. de Bono, “Molecular approaches to aggregation behavior and social attachment,”
Journal of Neurobiology, vol. 54, no. 1. Wiley, pp. 78–92, 2003.
ista: de Bono M. 2003. Molecular approaches to aggregation behavior and social attachment.
Journal of Neurobiology. 54(1), 78–92.
mla: de Bono, Mario. “Molecular Approaches to Aggregation Behavior and Social Attachment.”
Journal of Neurobiology, vol. 54, no. 1, Wiley, 2003, pp. 78–92, doi:10.1002/neu.10162.
short: M. de Bono, Journal of Neurobiology 54 (2003) 78–92.
date_created: 2019-03-21T09:52:31Z
date_published: 2003-01-01T00:00:00Z
date_updated: 2021-01-12T08:06:26Z
day: '01'
doi: 10.1002/neu.10162
extern: '1'
external_id:
pmid:
- '12486699'
intvolume: ' 54'
issue: '1'
language:
- iso: eng
month: '01'
oa_version: None
page: 78-92
pmid: 1
publication: Journal of Neurobiology
publication_identifier:
issn:
- 0022-3034
- 1097-4695
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: Molecular approaches to aggregation behavior and social attachment
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 54
year: '2003'
...
---
_id: '1457'
abstract:
- lang: eng
text: 'Among the major mathematical approaches to mirror symmetry are those of Batyrev-Borisov
and Stromdnger-Yau-Zaslow (SYZ). The first is explicit and amenable to computation
but is not clearly related to the physical motivation; the second is the opposite.
Furthermore, it is far from obvious that mirror partners in one sense will also
be mirror partners in the other. This paper concerns a class of examples that
can be shown to satisfy the requirements of SYZ, but whose Hodge numbers are also
equal. This provides significant evidence in support of SYZ. Moreover, the examples
are of great interest in their own right: they are spaces of flat SLr-connections
on a smooth curve. The mirror is the corresponding space for the Langlands dual
group PGLr. These examples therefore throw a bridge from mirror symmetry to the
duality theory of Lie groups and, more broadly, to the geometric Langlands program.'
author:
- first_name: Tamas
full_name: Tamas Hausel
id: 4A0666D8-F248-11E8-B48F-1D18A9856A87
last_name: Hausel
- first_name: Michael
full_name: Thaddeus, Michael
last_name: Thaddeus
citation:
ama: Hausel T, Thaddeus M. Mirror symmetry, langlands duality, and the Hitchin system.
Inventiones Mathematicae. 2003;153(1):197-229. doi:10.1007/s00222-003-0286-7
apa: Hausel, T., & Thaddeus, M. (2003). Mirror symmetry, langlands duality,
and the Hitchin system. Inventiones Mathematicae. Springer. https://doi.org/10.1007/s00222-003-0286-7
chicago: Hausel, Tamás, and Michael Thaddeus. “Mirror Symmetry, Langlands Duality,
and the Hitchin System.” Inventiones Mathematicae. Springer, 2003. https://doi.org/10.1007/s00222-003-0286-7.
ieee: T. Hausel and M. Thaddeus, “Mirror symmetry, langlands duality, and the Hitchin
system,” Inventiones Mathematicae, vol. 153, no. 1. Springer, pp. 197–229,
2003.
ista: Hausel T, Thaddeus M. 2003. Mirror symmetry, langlands duality, and the Hitchin
system. Inventiones Mathematicae. 153(1), 197–229.
mla: Hausel, Tamás, and Michael Thaddeus. “Mirror Symmetry, Langlands Duality, and
the Hitchin System.” Inventiones Mathematicae, vol. 153, no. 1, Springer,
2003, pp. 197–229, doi:10.1007/s00222-003-0286-7.
short: T. Hausel, M. Thaddeus, Inventiones Mathematicae 153 (2003) 197–229.
date_created: 2018-12-11T11:52:08Z
date_published: 2003-07-01T00:00:00Z
date_updated: 2021-01-12T06:50:52Z
day: '01'
doi: 10.1007/s00222-003-0286-7
extern: 1
intvolume: ' 153'
issue: '1'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/math/0205236
month: '07'
oa: 1
page: 197 - 229
publication: Inventiones Mathematicae
publication_status: published
publisher: Springer
publist_id: '5738'
quality_controlled: 0
status: public
title: Mirror symmetry, langlands duality, and the Hitchin system
type: journal_article
volume: 153
year: '2003'
...
---
_id: '1458'
abstract:
- lang: eng
text: The moduli space of stable bundles of rank $2$ and degree $1$ on a Riemann
surface has rational cohomology generated by the so-called universal classes.
The work of Baranovsky, King-Newstead, Siebert-Tian and Zagier provided a complete
set of relations between these classes, expressed in terms of a recursion in the
genus. This paper accomplishes the same thing for the noncompact moduli spaces
of Higgs bundles, in the sense of Hitchin and Simpson. There are many more independent
relations than for stable bundles, but in a sense the answer is simpler, since
the formulas are completely explicit, not recursive. The results of Kirwan on
equivariant cohomology for holomorphic circle actions are of key importance.
acknowledgement: The first author was supported by NSF grant DMS-97-29992. The second
author was supported by NSF grant DMS-98-08529.
author:
- first_name: Tamas
full_name: Tamas Hausel
id: 4A0666D8-F248-11E8-B48F-1D18A9856A87
last_name: Hausel
- first_name: Michael
full_name: Thaddeus, Michael
last_name: Thaddeus
citation:
ama: Hausel T, Thaddeus M. Relations in the cohomology ring of the moduli space
of rank 2 Higgs bundles. Journal of the American Mathematical Society.
2003;16(2):303-329. doi:10.1090/S0894-0347-02-00417-4
apa: Hausel, T., & Thaddeus, M. (2003). Relations in the cohomology ring of
the moduli space of rank 2 Higgs bundles. Journal of the American Mathematical
Society. American Mathematical Society. https://doi.org/10.1090/S0894-0347-02-00417-4
chicago: Hausel, Tamás, and Michael Thaddeus. “Relations in the Cohomology Ring
of the Moduli Space of Rank 2 Higgs Bundles.” Journal of the American Mathematical
Society. American Mathematical Society, 2003. https://doi.org/10.1090/S0894-0347-02-00417-4.
ieee: T. Hausel and M. Thaddeus, “Relations in the cohomology ring of the moduli
space of rank 2 Higgs bundles,” Journal of the American Mathematical Society,
vol. 16, no. 2. American Mathematical Society, pp. 303–329, 2003.
ista: Hausel T, Thaddeus M. 2003. Relations in the cohomology ring of the moduli
space of rank 2 Higgs bundles. Journal of the American Mathematical Society. 16(2),
303–329.
mla: Hausel, Tamás, and Michael Thaddeus. “Relations in the Cohomology Ring of the
Moduli Space of Rank 2 Higgs Bundles.” Journal of the American Mathematical
Society, vol. 16, no. 2, American Mathematical Society, 2003, pp. 303–29,
doi:10.1090/S0894-0347-02-00417-4.
short: T. Hausel, M. Thaddeus, Journal of the American Mathematical Society 16 (2003)
303–329.
date_created: 2018-12-11T11:52:08Z
date_published: 2003-04-01T00:00:00Z
date_updated: 2021-01-12T06:50:53Z
day: '01'
doi: 10.1090/S0894-0347-02-00417-4
extern: 1
intvolume: ' 16'
issue: '2'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/math/0003094
month: '04'
oa: 1
page: 303 - 329
publication: Journal of the American Mathematical Society
publication_status: published
publisher: American Mathematical Society
publist_id: '5739'
quality_controlled: 0
status: public
title: Relations in the cohomology ring of the moduli space of rank 2 Higgs bundles
type: journal_article
volume: 16
year: '2003'
...
---
_id: '1459'
abstract:
- lang: eng
text: 'In this paper we explicitly calculate the analogue of the ''t Hooft SU (2)
Yang-Mills instantons on Gibbons-Hawking multi-centered gravitational instantons,
which come in two parallel families: the multi-Eguchi-Hanson, or Ak ALE gravitational
instantons and the multi-Taub-NUT spaces, or Ak ALF gravitational instantons.
We calculate their energy and find the reducible ones. Following Kronheimer we
also exploit the U(1) invariance of our solutions and study the corresponding
explicit singular SU (2) magnetic monopole solutions of the Bogomolny equations
on flat ℝ3.'
acknowledgement: We would like to acknowledge the financial support by Prof. P. Major
(R ́ enyi Institute, Hungary) from his OTKA grant No. T26176 and of the Miller Institute
for Basic Research in Science at UC Berkeley.
author:
- first_name: Gábor
full_name: Etesi, Gábor
last_name: Etesi
- first_name: Tamas
full_name: Tamas Hausel
id: 4A0666D8-F248-11E8-B48F-1D18A9856A87
last_name: Hausel
citation:
ama: Etesi G, Hausel T. On Yang-Mills instantons over multi-centered gravitational
instantons. Communications in Mathematical Physics. 2003;235(2):275-288.
doi:10.1007/s00220-003-0806-8
apa: Etesi, G., & Hausel, T. (2003). On Yang-Mills instantons over multi-centered
gravitational instantons. Communications in Mathematical Physics. Springer.
https://doi.org/10.1007/s00220-003-0806-8
chicago: Etesi, Gábor, and Tamás Hausel. “On Yang-Mills Instantons over Multi-Centered
Gravitational Instantons.” Communications in Mathematical Physics. Springer,
2003. https://doi.org/10.1007/s00220-003-0806-8.
ieee: G. Etesi and T. Hausel, “On Yang-Mills instantons over multi-centered gravitational
instantons,” Communications in Mathematical Physics, vol. 235, no. 2. Springer,
pp. 275–288, 2003.
ista: Etesi G, Hausel T. 2003. On Yang-Mills instantons over multi-centered gravitational
instantons. Communications in Mathematical Physics. 235(2), 275–288.
mla: Etesi, Gábor, and Tamás Hausel. “On Yang-Mills Instantons over Multi-Centered
Gravitational Instantons.” Communications in Mathematical Physics, vol.
235, no. 2, Springer, 2003, pp. 275–88, doi:10.1007/s00220-003-0806-8.
short: G. Etesi, T. Hausel, Communications in Mathematical Physics 235 (2003) 275–288.
date_created: 2018-12-11T11:52:09Z
date_published: 2003-04-01T00:00:00Z
date_updated: 2021-01-12T06:50:53Z
day: '01'
doi: 10.1007/s00220-003-0806-8
extern: 1
intvolume: ' 235'
issue: '2'
main_file_link:
- open_access: '1'
url: http://arxiv.org/abs/hep-th/0207196
month: '04'
oa: 1
page: 275 - 288
publication: Communications in Mathematical Physics
publication_status: published
publisher: Springer
publist_id: '5740'
quality_controlled: 0
status: public
title: On Yang-Mills instantons over multi-centered gravitational instantons
type: journal_article
volume: 235
year: '2003'
...
---
_id: '13436'
abstract:
- lang: eng
text: Cross-metathesis reactions of α,β-unsaturated sulfones and sulfoxides in the
presence of molybdenum and ruthenium pre-catalysts were tested. A selective metahesis
reaction was achieved between functionalized terminal olefins and vinyl sulfones
by using the ‘second generation’ ruthenium catalysts 1c–h while the highly active
Schrock catalyst 1b was found to be functional group incompatible with vinyl sulfones.
The cross-metathesis products were isolated in good yields with an excellent (E)-selectivity.
Both the molybdenum and ruthenium-based complexes were, however, incompatible
with α,β- and β,γ-unsaturated sulfoxides.
article_processing_charge: No
article_type: original
author:
- first_name: Anna
full_name: Michrowska, Anna
last_name: Michrowska
- first_name: Michał
full_name: Bieniek, Michał
last_name: Bieniek
- first_name: Mikhail
full_name: Kim, Mikhail
last_name: Kim
- first_name: Rafal
full_name: Klajn, Rafal
id: 8e84690e-1e48-11ed-a02b-a1e6fb8bb53b
last_name: Klajn
- first_name: Karol
full_name: Grela, Karol
last_name: Grela
citation:
ama: Michrowska A, Bieniek M, Kim M, Klajn R, Grela K. Cross-metathesis reaction
of vinyl sulfones and sulfoxides. Tetrahedron. 2003;59(25):4525-4531. doi:10.1016/s0040-4020(03)00682-3
apa: Michrowska, A., Bieniek, M., Kim, M., Klajn, R., & Grela, K. (2003). Cross-metathesis
reaction of vinyl sulfones and sulfoxides. Tetrahedron. Elsevier. https://doi.org/10.1016/s0040-4020(03)00682-3
chicago: Michrowska, Anna, Michał Bieniek, Mikhail Kim, Rafal Klajn, and Karol Grela.
“Cross-Metathesis Reaction of Vinyl Sulfones and Sulfoxides.” Tetrahedron.
Elsevier, 2003. https://doi.org/10.1016/s0040-4020(03)00682-3.
ieee: A. Michrowska, M. Bieniek, M. Kim, R. Klajn, and K. Grela, “Cross-metathesis
reaction of vinyl sulfones and sulfoxides,” Tetrahedron, vol. 59, no. 25.
Elsevier, pp. 4525–4531, 2003.
ista: Michrowska A, Bieniek M, Kim M, Klajn R, Grela K. 2003. Cross-metathesis reaction
of vinyl sulfones and sulfoxides. Tetrahedron. 59(25), 4525–4531.
mla: Michrowska, Anna, et al. “Cross-Metathesis Reaction of Vinyl Sulfones and Sulfoxides.”
Tetrahedron, vol. 59, no. 25, Elsevier, 2003, pp. 4525–31, doi:10.1016/s0040-4020(03)00682-3.
short: A. Michrowska, M. Bieniek, M. Kim, R. Klajn, K. Grela, Tetrahedron 59 (2003)
4525–4531.
date_created: 2023-08-01T10:39:34Z
date_published: 2003-06-16T00:00:00Z
date_updated: 2023-08-08T12:44:17Z
day: '16'
doi: 10.1016/s0040-4020(03)00682-3
extern: '1'
intvolume: ' 59'
issue: '25'
keyword:
- Organic Chemistry
- Drug Discovery
- Biochemistry
language:
- iso: eng
month: '06'
oa_version: None
page: 4525-4531
publication: Tetrahedron
publication_identifier:
eissn:
- 1464-5416
issn:
- 0040-4020
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Cross-metathesis reaction of vinyl sulfones and sulfoxides
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 59
year: '2003'
...
---
_id: '9455'
abstract:
- lang: eng
text: Proteins of the ARGONAUTE family are important in diverse posttranscriptional
RNA-mediated gene-silencing systems as well as in transcriptional gene silencing
in Drosophila and fission yeast and in programmed DNA elimination in Tetrahymena.
We cloned ARGONAUTE4 (AGO4) from a screen for mutants that suppress silencing
of the Arabidopsis SUPERMAN(SUP) gene. The ago4-1 mutant reactivated silentSUP
alleles and decreased CpNpG and asymmetric DNA methylation as well as histone
H3 lysine-9 methylation. In addition,ago4-1 blocked histone and DNA methylation
and the accumulation of 25-nucleotide small interfering RNAs (siRNAs) that correspond
to the retroelement AtSN1. These results suggest that AGO4 and long siRNAs direct
chromatin modifications, including histone methylation and non-CpG DNA methylation.
article_processing_charge: No
article_type: original
author:
- first_name: Daniel
full_name: Zilberman, Daniel
id: 6973db13-dd5f-11ea-814e-b3e5455e9ed1
last_name: Zilberman
orcid: 0000-0002-0123-8649
- first_name: ' Xiaofeng'
full_name: Cao, Xiaofeng
last_name: Cao
- first_name: Steven E.
full_name: Jacobsen, Steven E.
last_name: Jacobsen
citation:
ama: Zilberman D, Cao Xiaofeng, Jacobsen SE. ARGONAUTE4 control of locus-specific
siRNA accumulation and DNA and histone methylation. Science. 2003;299(5607):716-719.
doi:10.1126/science.1079695
apa: Zilberman, D., Cao, Xiaofeng, & Jacobsen, S. E. (2003). ARGONAUTE4 control
of locus-specific siRNA accumulation and DNA and histone methylation. Science.
American Association for the Advancement of Science. https://doi.org/10.1126/science.1079695
chicago: Zilberman, Daniel, Xiaofeng Cao, and Steven E. Jacobsen. “ARGONAUTE4 Control
of Locus-Specific SiRNA Accumulation and DNA and Histone Methylation.” Science.
American Association for the Advancement of Science, 2003. https://doi.org/10.1126/science.1079695.
ieee: D. Zilberman, Xiaofeng Cao, and S. E. Jacobsen, “ARGONAUTE4 control of locus-specific
siRNA accumulation and DNA and histone methylation,” Science, vol. 299,
no. 5607. American Association for the Advancement of Science, pp. 716–719, 2003.
ista: Zilberman D, Cao Xiaofeng, Jacobsen SE. 2003. ARGONAUTE4 control of locus-specific
siRNA accumulation and DNA and histone methylation. Science. 299(5607), 716–719.
mla: Zilberman, Daniel, et al. “ARGONAUTE4 Control of Locus-Specific SiRNA Accumulation
and DNA and Histone Methylation.” Science, vol. 299, no. 5607, American
Association for the Advancement of Science, 2003, pp. 716–19, doi:10.1126/science.1079695.
short: D. Zilberman, Xiaofeng Cao, S.E. Jacobsen, Science 299 (2003) 716–719.
date_created: 2021-06-04T11:26:26Z
date_published: 2003-01-31T00:00:00Z
date_updated: 2021-12-14T08:43:30Z
day: '31'
department:
- _id: DaZi
doi: 10.1126/science.1079695
extern: '1'
external_id:
pmid:
- '12522258'
intvolume: ' 299'
issue: '5607'
keyword:
- Multidisciplinary
language:
- iso: eng
month: '01'
oa_version: None
page: 716-719
pmid: 1
publication: Science
publication_identifier:
eissn:
- 1095-9203
issn:
- 0036-8075
publication_status: published
publisher: American Association for the Advancement of Science
quality_controlled: '1'
scopus_import: '1'
status: public
title: ARGONAUTE4 control of locus-specific siRNA accumulation and DNA and histone
methylation
type: journal_article
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 299
year: '2003'
...