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20022009
most citedCentral limit theorems for eigenvalues in a spiked population model

127 citations

Showing 2002Show all

7 papers · 1 filter

math.AP2002

Focusing of Spherical Nonlinear Pulses in , III. Sub and Supercritical cases

Remi Carles, Jeffrey Rauch

We study the validity of geometric optics in for nonlinear wave equations in three space dimensions whose solutions, pulse like, focus at a point. If the amplitude of th…

math.AP200214 cited

Semiclassical Nonlinear Schrodinger equations with potential and focusing initial data

Remi Carles, Luc Miller

We study the asymptotic behaviour of solutions to semi-classical nonlinear Schrodinger equations with a potential, for concentrating and oscillating initial data, when the nonlinea…

math.GT20021 cited

Sur la rigidité de polyèdres hyperboliques en dimension 3 : cas de volume fini, cas hyperidéal, cas fuchsien

Mathias Rousset

A hyperbolic semi-ideal polyedron is a polyedron whose vertices lie inside the hyperbolic space or at infinity. A hyperideal polyedron is, in the projective model,…

math.GT20023 cited

An algorithm for the word problem in braid groups

Bert Wiest

We suggest a new algorithm for finding a canonical representative of a given braid, and also for the harder problem of finding a -consistent representative. We conjecture that…

quant-ph20022 cited

Coassociative grammar, periodic orbits and quantum random walk over Z

Leroux Philippe

We prove that the combinatorics generated by the quantum random walk on Z can be interpreted from the reading of periodic orbits of the classical chaotic map .

math.QA20022 cited

Tiling the (n^2,1)-De Bruijn graph with n coassociative coalgebras

Philippe Leroux

We construct via usual graph theory a class of associative dialgebras as well as a class of coassociative L-coalgebras. Tiling of the (n^2,1)-De bruijn graphs are also obtained and…