학술논문

Using Boolean cumulants to study multiplication and anticommutators of free random variables
Document Type
Working Paper
Source
Transactions of the American Mathematical Society, 373(10) (2020), 7167 - 7205
Subject
Mathematics - Operator Algebras
Mathematics - Combinatorics
Mathematics - Probability
Language
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.
Comment: 36 pages, 4 figures