A combinatorial identity for the set of partitions related to limit theorems in finite free probability theory

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Title (deu)

Speaker / Lecturer

Octavio Arizmendi Echegaray

CIMAT

Description (deu)

This talk was part of the Workshop on "Recent Perspectives on Non-crossing Partitions through Algebra, Combinatorics, and Probability" held at the ESI February 17 - 21, 2025. In this talk I will explain a set of combinatorial identities combinatorial identities for the set of partitions. This identities are motivated by the study for certain limit theorems related to finite free convolutions trough finite free cumulants. In particular, this allows to give a combinatorial proof of the recent result of Kabluchko describing the asymptotic behaviour of the roots of Unitary Hermite and Laguerre Polynomials. A connection with classical cumulants of polynomials of a Poisson variable will also be explained.

Keywords (deu)

ESIInfinite-dimensional Geometry

Subject (eng)

ÖFOS 2012 -- 101 -- Mathematics

Type (eng)

lecture

Language

English [eng]

Persistent identifier

https://phaidra.univie.ac.at/o:2119272

Funder

Date created