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SUMMARY:Stochastic Burgers Equation from Non-Product Stationary Measures v
 ia a Generalised Second-Order Boltzmann-Gibbs Principle
DTSTART:20251210T153000
DTEND:20251210T163000
DTSTAMP:20260916T130258Z
UID:4958fcd55369a8840fbb7587a4c95e5a80df2971f3b7734097f1459c
CATEGORIES:Conferences - Seminars
DESCRIPTION:Maria Chiara Ricciuti (Imperial)\nIn this talk\, we present a 
 generalised second-order Boltzmann-Gibbs principle for conservative intera
 cting particle systems on a lattice whose stationary measures are not of p
 roduct type and not invariant under particle jumps. The result\, which req
 uires neither a spectral gap bound nor an equivalence of ensembles\, exten
 ds the classical framework to settings with correlated invariant measures 
 and is based on quantitative bounds for the correlation decay. As an appli
 cation\, we show that the equilibrium density fluctuations of the Katz-Leb
 owitz-Spohn model\, for a suitable choice of parameters\, converge under d
 iffusive scaling to the stationary energy solution of the stochastic Burge
 rs equation. Based on joint work with P. Gonçalves and G. M. Schütz.
LOCATION:CM 1 517 https://plan.epfl.ch/?room==CM%201%20517
STATUS:CONFIRMED
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