Institut de Mathématiques de Toulouse

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19952026

most citedInverse Problem for a Curved Quantum Guide

1k citations

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Showing 2012 · math.PRShow all

11 papers · 2 filters

math.PR2012★ 16 cited

Average Characteristic Polynomials of Determinantal Point Processes

Adrien Hardy

We investigate the average characteristic polynomial $E [\prod_{i = 1}^{N} (z - x_{i})]$ where the $x_{i}$ 's are real random variables which form a determinantal point process…

math.PR2012★ 59 cited

Chaos of a Markov operator and the fourth moment condition

M. Ledoux

We analyze from the viewpoint of an abstract Markov operator recent results by Nualart and Peccati, and Nourdin and Peccati, on the fourth moment as a condition on a Wiener chaos t…

math.PR2012★ 1 cited

Diffusivity of a random walk on random walks

Emmanuel Boissard, Serge Cohen, Thibault Espinasse +1

We consider a random walk $(Z_{n}^{(1)}, ..., Z_{n}^{(K + 1)}) \in Z^{K + 1}$ with the constraint that each coordinate of the walk is at distance one from the following one. In th…

math.PR2012★ 1 cited

Means in complete manifolds: uniqueness and approximation

Marc Arnaudon, Laurent Miclo

Let $M$ be a complete Riemannian manifold, $N\in \NN$ and $p \geq 1$ . We prove that almost everywhere on $x = (x_{1}, ..., x_{N}) \in M^{N}$ for Lebesgue measure in $M^{N}$ , the measure $\di μ(x)…

math.PR2012★ 7 cited

Large Deviations for a Non-Centered Wishart Matrix

Adrien Hardy, Arno B. J. Kuijlaars

We investigate an additive perturbation of a complex Wishart random matrix and prove that a large deviation principle holds for the spectral measures. The rate function is associat…

math.PR2012★ 2 cited

Eigenvalue variance bounds for Wigner and covariance random matrices

Sandrine Dallaporta

This work is concerned with finite range bounds on the variance of individual eigenvalues of Wigner random matrices, in the bulk and at the edge of the spectrum, as well as for som…