# On a Method of Introducing Free-Infinitely Divisible Probability Measures

@article{Jurek2014OnAM, title={On a Method of Introducing Free-Infinitely Divisible Probability Measures}, author={Zbigniew J. Jurek}, journal={Demonstratio Mathematica}, year={2014}, volume={49}, pages={236 - 251} }

Abstract Random integral mappings give isomorphism between the subsemigroups of the classical (I D, *) and the free-infinite divisible (I D, ⊞) probability measures. This allows us to introduce new examples of such measures, more precisely their corresponding characteristic functionals.

## 3 Citations

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We study two ways (levels) of finding free-probability analogues of classical infinitely divisible measures. More precisely, we identify their Voiculescu transforms. For free-selfdecomposable…

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We show that a function $\tan(1/it)$ is a Pick function (free-infinitely divisible transform) and indicate its connections with a probability. Moreover, we found its "counterpart" in classical…

### Urbanik type subclasses of the free-infinitely divisible transforms

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For the class of free-infinitely divisible transforms are introduced three families of increasing Urbanik type subclasses of those transforms. They begin with the class of free-normal transforms and…

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