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Limit theorems for classical, freely and Boolean max-infinitely divisible distributions (1907.11996v4)
Published 28 Jul 2019 in math.PR and math.FA
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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