Homomorphisms relative to additive convolutions and max-convolutions: Free, boolean and classical cases

Hasebe, Takahiro; Ueda, Yuki

doi:10.1090/proc/15595

Homomorphisms relative to additive convolutions and max-convolutions: Free, boolean and classical cases
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by Takahiro Hasebe and Yuki Ueda

Proc. Amer. Math. Soc. 149 (2021), 4799-4814

DOI: https://doi.org/10.1090/proc/15595

Published electronically: August 12, 2021

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Abstract:

We introduce new homomorphisms relative to additive convolutions and max-convolutions in free, boolean and classical cases. Crucial roles are played by the limit distributions for free multiplicative law of large numbers.

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