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19932020
most citedObservation of Gravitational Waves from a Binary Black Hole Merger

14.2k citations

Showing 2009Show all

31 papers · 1 filter

math.NT2009★ 30 cited

Integral points of bounded height on partial equivariant compactifications of vector groups

Antoine Chambert-Loir, Yuri Tschinkel

We establish asymptotic formulas for the number of integral points of bounded height on partial equivariant compactifications of vector groups.

cond-mat.stat-mech2009★ 39 cited

A Pearson-Dirichlet random walk

G. Le Caer

A constrained diffusive random walk of n steps and a random flight in Rd, which can be expressed in the same terms, were investigated independently in recent papers. The n steps of…

physics.chem-ph2009★ 36 cited

Relation between static short-range order and dynamic heterogeneities in a nanoconfined liquid crystal

Ronan Lefort, Denis Morineau, Régis Guégan +3

We analyze the molecular dynamics heterogeneity of the liquid crystal 4-n-octyl-4'-cyanobiphenyl nanoconfined in porous silicon. We show that the temperature dependence of the dyna…

astro-ph.EP2009★ 149 cited

An estimate of the chemical composition of Titan's lakes

D. Cordier, O. Mousis, J. -I. Lunine +2

Hundreds of radar-dark patches interpreted as lakes have been discovered in the north and south polar regions of Titan. We have estimated the composition of these lakes by using th…

cond-mat.supr-con2009★ 22 cited

Two-Cooper-pair problem and the Pauli exclusion principle

W. V. Pogosov, M. Combescot, M. Crouzeix

While the one-Cooper pair problem is now a textbook exercise, the energy of two pairs of electrons with opposite spins and zero total momentum has not been derived yet, the exact h…

math.AG2009★ 5 cited

Forgetful linear systems on the projective space and rational normal curves over $\cM_{0,2n}^{GIT}$

Michele Bolognesi

Let $\cM_{0,n}$ the moduli space of -pointed rational curves. The aim of this note is to give a new, geometric construction of $\cM_{0,2n}^{GIT}$, the GIT compacification of $\c…

math.ST2009★ 1 cited

Confidence intervals for the Hurst parameter of a fractional Brownian motion based on finite sample size

Jean-Christophe Breton, Jean-François Coeurjolly

In this paper, we show how concentration inequalities for Gaussian quadratic form can be used to propose exact confidence intervals of the Hurst index parametrizing a fractional Br…

astro-ph.HE2009★ 75 cited

Search for gravitational-wave bursts associated with gamma-ray bursts using data from LIGO Science Run 5 and Virgo Science Run 1

LIGO Scientific Collaboration, Virgo Collaboration, B. P. Abbott +665

We present the results of a search for gravitational-wave bursts associated with 137 gamma-ray bursts (GRBs) that were detected by satellite-based gamma-ray experiments during the…

math.GR2009★ 31 cited

Contracting automorphisms and L^p-cohomology in degree one

Yves Cornulier, Romain Tessera

We characterize those Lie groups, and algebraic groups over a local field of characteristic zero, whose first reduced L^p-cohomology is zero for all p>1, extending a result of Pans…

math.NT2009★ 4 cited

On Modular Inverses of Cyclotomic Polynomials and the Magnitude of their Coefficients

Clement Dunand

Let p and r be two primes and n, m be two distinct divisors of pr. Consider the n-th and m-th cyclotomic polynomials. In this paper, we present lower and upper bounds for the coeff…

math.DS2009★ 26 cited

Fractal tiles associated with shift radix systems

Valérie Berthé, Anne Siegel, Wolfgang Steiner +2

Shift radix systems form a collection of dynamical systems depending on a parameter which varies in the -dimensional real vector space. They generalize well-known n…

cond-mat.soft2009★ 84 cited

Sphere penetration by impact in a granular medium: A collisional process

Antoine Seguin, Yann Bertho, Philippe Gondret +1

The penetration by a gravity driven impact of a solid sphere into a granular medium is studied by two-dimensional simulations. The scaling laws observed experimentally for both the…

cond-mat.soft2009★ 39 cited

Local description of the two-dimensional flow of foam through a contraction

Benjamin Dollet

The 2D flow of a foam confined in a Hele-Shaw cell through a contraction is investigated. Its rheological features are quantified using image analysis, with measurements of the ela…

math.NT2009★ 14 cited

Rational numbers with purely periodic -expansion

Boris Adamczewski, Christiane Frougny, Anne Siegel +1

We study real numbers with the curious property that the -expansion of all sufficiently small positive rational numbers is purely periodic. It is known that such real number…

math.PR2009★ 1 cited

Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation

Francois Bolley, Arnaud Guillin, Florent Malrieu

We consider a Vlasov-Fokker-Planck equation governing the evolution of the density of interacting and diffusive matter in the space of positions and velocities. We use a probabilis…

physics.flu-dyn2009★ 25 cited

Preferred sizes and ordering in surface nanobubble populations

Bram M. Borkent, Holger Schoenherr, Gerard Le Caer +2

Two types of homogeneous surface nanobubble populations, created by different means, are analyzed statistically on both their sizes and spatial positions. In the first type (create…

math.GT2009★ 10 cited

Some groups of mapping classes not realized by diffeomorphisms

Mladen Bestvina, Thomas Church, Juan Souto

Let S be a closed surface of genus g >= 2 and z in S a marked point. We prove that the subgroup of the mapping class group Map(S,z) corresponding to the fundamental group pi_1(S,z)…

math.NT2009

Fast construction of irreducible polynomials over finite fields

Jean-Marc Couveignes, Reynald Lercier

We present a randomized algorithm that on input a finite field with elements and a positive integer outputs a degree irreducible polynomial in . The running t…

cond-mat.str-el2009★ 3 cited

Variational study of the antiferromagnetic insulating phase of V2O3 based on Nth order Muffin-Tin-Orbitals

N. B. Perkins, S. Di Matteo, C. R. Natoli

Motivated by recent results of th order muffin-tin orbital (NMTO) implementation of the density functional theory (DFT), we re-examine low-temperature ground-state properties of…

math.AP2009

A new variational approach to the stability of gravitational systems

Mohammed Lemou, Florian Mehats, Pierre Raphael

We consider the three dimensional gravitational Vlasov Poisson system which describes the mechanical state of a stellar system subject to its own gravity. A well-known conjecture i…

math.PR2009★ 1 cited

Martingales and Rates of Presence in Homogeneous Fragmentations

Nathalie Krell, Alain Rouault

The main focus of this work is the asymptotic behavior of mass-conservative homogeneous fragmentations. Considering the logarithm of masses makes the situation reminiscent of branc…

math.GT2009★ 3 cited

How to read the length of a braid from its curve diagram

Bert Wiest

We prove that the Garside length a braid is equal to a winding-number type invariant of the curve diagram of the braid.

math.DS2009★ 14 cited

Integrability of natural Hamiltonian systems with homogeneous potentials of degree zero

Guy Casale, Guillaume Duval, Andrzej J. Maciejewski +1

We derive necessary conditions for integrability in the Liouville sense of natural Hamiltonian systems with homogeneous potential of degree zero. We derive these conditions through…

math.GR2009★ 9 cited

A spectral gap property for subgroups of finite covolume in Lie groups

Bachir Bekka, Yves Cornulier

Let G be a real Lie group and H a lattice or, more generally, a closed subgroup of finite covolume in G. We show that the unitary representation lambda_{G/H} of G on L^2(G/H) has a…