Unimodality of the freely selfdecomposable probability laws
Probability
2016-10-03 v3 Operator Algebras
Abstract
We show that any freely selfdecomposable probability law is unimodal. This is the free probabilistic analog of Yamazato's result in [Ann. Probab. 6 (1978), 523-531].
Keywords
Cite
@article{arxiv.1309.6776,
title = {Unimodality of the freely selfdecomposable probability laws},
author = {Takahiro Hasebe and Steen Thorbjornsen},
journal= {arXiv preprint arXiv:1309.6776},
year = {2016}
}
Comments
17 pages; Accepted version