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arXiv · 1008.4742

A Free Stochastic Partial Differential Equation

Yoann Dabrowski
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Abstract

We get stationary solutions of a free stochastic partial differential equation. As an application, we prove equality of non-microstate and microstate free entropy dimensions under a Lipschitz like condition on conjugate variables, assuming also R^\omega\ embeddability. This includes an N-tuple of q-Gaussian random variables e.g. for |q|N\leq 0.13.

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Yoann Dabrowski. 2010-08-27. A Free Stochastic Partial Differential Equation. https://arxiv.org/abs/1008.4742

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