SPACE-TIME FLUCTUATIONS IN A QUASI-STATIC LIMIT

Creators: Bernardin, Cédric; Gonçalves, Patrícia; Olla, Stefano

Others:: Laboratoire Jean Alexandre Dieudonné (LJAD) ; Université Nice Sophia Antipolis (1965 - 2019) (UNS)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA); Universidade de Lisboa; CEntre de REcherches en MAthématiques de la DEcision (CEREMADE) ; Université Paris Dauphine-PSL ; Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS); European Project: 715734,H2020,HyLEF(2016)

Description

We consider the macroscopic limit for the space-time density fluctuations in the open symmetric simple exclusion in the quasi-static scaling limit. We prove that the distribution of these fluctuations converge to a gaussian space-time field that is delta correlated in time but with long-range correlations in space.

Abstract

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SPACE-TIME FLUCTUATIONS IN A QUASI-STATIC LIMIT

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Abstract

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