output
19952026
most citedInverse Problem for a Curved Quantum Guide

1k citations

Showing 2016 · math.PRShow all

9 papers · 2 filters

math.PR2016★ 25 cited

On the domain of fractional Laplacians and related generators of Feller processes

Franziska Kühn, René L. Schilling

In this paper we study the domain of stable processes, stable-like processes and more general pseudo- and integro-differential operators which naturally arise both in analysis and…

math.PR2016★ 23 cited

Spectrum of deformed random matrices and free probability

M Capitaine, C Donati-Martin

The aim of this paper is to show how free probability theory sheds light on spectral properties of deformed matricial models and provides a unified understanding of various asympto…

math.PR2016

Ergodic measures and infinite matrices of finite rank

Yanqi Qiu

Let and be the inductively compact infinite orthogonal group and infinite unitary group respectively. The classifications of ergodic probability measures wi…

math.PR2016★ 1 cited

Sum rules and large deviations for spectral measures on the unit circle

Fabrice Gamboa, Jan Nagel, Alain Rouault

This work is a companion paper of Gamboa, Nagel, Rouault (J. Funct. Anal. 2016). We continue to explore the connections between large deviations for random objects issued from rand…

math.PR2016★ 10 cited

A Stein deficit for the logarithmic Sobolev inequality

Michel Ledoux, Ivan Nourdin, Giovanni Peccati

We provide explicit lower bounds for the deficit in the Gaussian logarithmic Sobolev inequality in terms of differential operators that are naturally associated with the so-called…

math.PR2016

Multilevel branching splitting algorithm for estimating rare event probabilities

Agnès Lagnoux, Pascal Lezaud

We analyse the splitting algorithm performance in the estimation of rare event probabilities and this in a discrete multidimensional framework. For this we assume that each thresho…