Asymptotic analysis of symmetric functions
Friedrich G\"otze, Alexey Naumov, Vladimir Ulyanov
TL;DR
This paper investigates the asymptotic behavior of symmetric functions of many variables, providing expansions that have applications in classical and free probability theories.
Contribution
It introduces asymptotic expansion techniques for symmetric functions, linking them to applications in probability theory.
Findings
Derived asymptotic expansions for symmetric functions
Connected asymptotic analysis to classical probability
Extended results to free probability
Abstract
In this paper we consider asymptotic expansions for a class of sequences of symmetric functions of many variables. Applications to classical and free probability theory are discussed.
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