V-monotone independence

2019/01/18 by Adrian Dacko, Dacko, Adrian
Computer Science · Mathematics · #05A18 (Secondary) #46L53 (Primary) #Advanced Algebra and Logic #Combinatorics (math.CO) #FOS: Mathematics #Functional Analysis (math.FA) #Random Matrices and Applications #Stochastic processes and statistical mechanics

paper · pdf · doi:10.48550/arxiv.1901.06342

openalex publication_date 2019/01/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce and study a new notion of non-commutative independence, called V-monotone independence, which can be viewed as an extension of the monotone independence of Muraki. We investigate the combinatorics of mixed moments of V-monotone random variables and prove the central limit theorem. We obtain a combinatorial formula for the limit moments and we find the solution of the differential equation for the moment generating function in the implicit form.

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• Central limit measure for V-monotone independence
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