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arXiv · 2003.05382

Max-convolution semigroups and extreme values in limit theorems for the free multiplicative convolution

Yuki Ueda
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Abstract

We investigate relations between additive convolution semigroup and max-convolution semigroup through the law of large numbers for the free multiplicative convolution. Based on the relation, we give a formula related with Belinschi-Nica semigroup and max-Belinschi-Nica semigroup. Finally, we give several limit theorems for classical, free and Boolean extreme values.

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Yuki Ueda. 2020-03-09. Max-convolution semigroups and extreme values in limit theorems for the free multiplicative convolution. https://arxiv.org/abs/2003.05382

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