Abstract
We investigate relations between additive convolution semigroups and max-convolution semigroups through the law of large numbers for the free multiplicative convolution. Based on these relations, we give a formula related with the Belinschi–Nica semigroup and the max-Belinschi–Nica semigroup. Finally, we give several limit theorems for classical, free and Boolean extreme values.
Citation
Yuki Ueda. "Max-convolution semigroups and extreme values in limit theorems for the free multiplicative convolution." Bernoulli 27 (1) 502 - 531, February 2021. https://doi.org/10.3150/20-BEJ1247
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