On a method of introducing free-infinitely divisible probability measures

preprint2014arXivOpen access

Abstract

Random integral mappings I(a,b]h,rI^{h,r}_{(a,b]} give isomorphisms between the sub-semigroups of the classical (ID,∗)(ID, \ast) and the free-infinite divisible (ID,⊞)(ID,\boxplus) probability measures. This allows us to introduce new examples of such measures and their corresponding characteristic functionals.

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