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arXiv · 1907.10842

Using Boolean cumulants to study multiplication and anticommutators of free random variables

Maxime Fevrier·Mitja Mastnak·Alexandru Nica·Kamil Szpojankowski
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Abstract

We study how Boolean cumulants can be used in order to address operations with freely independent random variables, particularly in connection to the $*$-distribution of the product of two selfadjoint freely independent random variables, and in connection to the distribution of the anticommutator of such random variables.

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Maxime Fevrier, Mitja Mastnak, Alexandru Nica, Kamil Szpojankowski. 2019-07-25. Using Boolean cumulants to study multiplication and anticommutators of free random variables. https://arxiv.org/abs/1907.10842

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