Limit theorems for classical, freely and Boolean max-infinitely divisible distributions
Probability
2022-09-05 v4 Functional Analysis
Abstract
We investigate a Belinschi-Nica type semigroup for free and Boolean max-convolutions. We prove that this semigroup at time one connects limit theorems for freely and Boolean max-infinitely divisible distributions. Moreover, we also construct a max-analogue of Boolean-classical Bercovici-Pata bijection, establishing the equivalence of limit theorems for Boolean and classical max-infinitely divisible distributions.
Keywords
Cite
@article{arxiv.1907.11996,
title = {Limit theorems for classical, freely and Boolean max-infinitely divisible distributions},
author = {Yuki Ueda},
journal= {arXiv preprint arXiv:1907.11996},
year = {2022}
}
Comments
21 pages, accepted by JOTP