A Free Stochastic Partial Differential Equation
Operator Algebras
2013-03-11 v3
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.
Cite
@article{arxiv.1008.4742,
title = {A Free Stochastic Partial Differential Equation},
author = {Yoann Dabrowski},
journal= {arXiv preprint arXiv:1008.4742},
year = {2013}
}
Comments
57 pages, final published version, slightly weaker results with improved exposition