Superconvergence and regularity of densities in free probability
Functional Analysis
2021-03-17 v3 Probability
Abstract
The superconvergence phenomenon is shown for products of free, identically distributed random variables. We also show that a certain Holder regularity, first demonstrated by Biane for the density of a free additive convolution with a semicircular law, extends to free additive and multiplicative convolutions with arbitrary freely infinitely divisible laws and to free convolution semigroups.
Cite
@article{arxiv.2010.01248,
title = {Superconvergence and regularity of densities in free probability},
author = {Hari Bercovici and Jiun-Chau Wang and Ping Zhong},
journal= {arXiv preprint arXiv:2010.01248},
year = {2021}
}
Comments
Another appendix is added