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

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.

15 pages

References in corpus (3)

• On free stable distributions
• Limit theorems for classical, freely and Boolean max-infinitely divisible distributions
• Max-convolution semigroups and extreme values in limit theorems for the free multiplicative convolution