Limit theorems for classical, freely and Boolean max-infinitely divisible distributions

Yuki Ueda

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arXiv · 1907.11996

Limit theorems for classical, freely and Boolean max-infinitely divisible distributions

Yuki Ueda

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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.

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Yuki Ueda. 2019-07-28. Limit theorems for classical, freely and Boolean max-infinitely divisible distributions. https://arxiv.org/abs/1907.11996

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