Fluctuations of particle systems determined by Schur generating functions

We develop a new toolbox for the analysis of the global behavior of stochastic discrete particle systems. We introduce and study the notion of the Schur generating function of a random discrete configuration. Our main result provides a Central Limit Theorem (CLT) for such a configuration given certa...

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Detalhes bibliográficos
Principais autores: Bufetov, Alexey, Gorin, Vadim
Outros Autores: Massachusetts Institute of Technology. Department of Mathematics
Formato: Artigo
Idioma:English
Publicado em: Elsevier BV 2020
Acesso em linha:https://hdl.handle.net/1721.1/124392