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math.PR2016★ 6 cited
A Laplace Principle for Hermitian Brownian Motion and Free Entropy I: the convex functional case
Yoann Dabrowski
This paper is part of a series aiming at proving that the and variants of Voiculescu's free entropy coincide. This is based on a Laplace principle (implying a l…
math.PR2015
Linear rigidity of stationary stochastic processes
Alexander I. Bufetov, Yoann Dabrowski, Yanqi Qiu
We consider stationary stochastic processes , such that lies in the closed linear span of , ; following Ghosh and Peres, we call such pro…
math.PR2014
Time Reversal of free diffusions I : Reversed Brownian motion, Reversed SDE and first order regularity of conjugate variables
Yoann Dabrowski
We show that solutions of free stochastic differential equations with regular drifts and diffusion coefficients, when considered backwards in time, still satisfy free SDEs for an e…