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19952026
most citedInverse Problem for a Curved Quantum Guide

1k citations

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Showing 2011 · math.PRShow all

13 papers · 2 filters

math.PR2011

Sharp large deviations for the non-stationary Ornstein-Uhlenbeck process

Bernard Bercu, Laure Coutin, Nicolas Savy

For the Ornstein-Uhlenbeck process, the asymptotic behavior of the maximum likelihood estimator of the drift parameter is totally different in the stable, unstable, and explosive c…

math.PR2011

Existence of the harmonic measure for random walks on graphs and in random environments

Daniel Boivin, Clément Rau

We give a sufficient condition for the existence of the harmonic measure from infinity of transient random walks on weighted graphs. In particular, this condition is verified by th…

math.PR2011★ 38 cited

Kinetic hierarchy and propagation of chaos in biological swarm models

Eric Carlen, Robin Chatelin, Pierre Degond +1

We consider two models of biological swarm behavior. In these models, pairs of particles interact to adjust their velocities one to each other. In the first process, called 'BDG',…

math.PR2011★ 58 cited

Kinetic limits for pair-interaction driven master equations and biological swarm models

Eric Carlen, Pierre Degond, Bernt Wennberg

We consider a class of stochastic processes modeling binary interactions in an N-particle system. Examples of such systems can be found in the modeling of biological swarms. They l…

math.PR2011

The tail of the maximum of smooth Gaussian fields on fractal sets

Jean-Marc Azaïs, Mario Wschebor

We study the probability distribution of the maximum of a smooth stationary Gaussian field defined on a fractal subset of . Our main result is the equivalent of th…

math.PR2011★ 162 cited

Around the circular law

Charles Bordenave, Djalil Chafai

These expository notes are centered around the circular law theorem, which states that the empirical spectral distribution of a nxn random matrix with i.i.d. entries of variance 1/…