Daniel Perales

activity

20162025

most citedOn operator-valued infinitesimal Boolean and monotone independence

5 citations · 14 across the 9 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.CO2021★ 2 cited

Finite Free Cumulants: Multiplicative Convolutions, Genus Expansion and Infinitesimal Distributions

Octavio Arizmendi, Jorge Garza-Vargas, Daniel Perales

Given two polynomials $p (x), q (x)$ of degree $d$ , we give a combinatorial formula for the finite free cumulants of $p (x) ⊠_{d} q (x)$ . We show that this formula admits a topolo…

math.CO2021★ 1 cited

Multiplicative and semi-multiplicative functions on non-crossing partitions, and relations to cumulants

Adrian Celestino, Kurusch Ebrahimi-Fard, Alexandru Nica +2

We consider the group $(G, *)$ of unitized multiplicative functions in the incidence algebra of non-crossing partitions, where `` $*$ '' denotes the convolution operation. W…

math.OA2021

On the anti-commutator of two free random variables

Daniel Perales

Let $(κ_{n} (a))_{n \geq 1}$ denote the sequence of free cumulants of a random variable $a$ in a non-commutative probability space $(A, φ)$ . Based on some considerations on bi…