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Non-equilibrium fluctuations of interacting particle systems, lecture 1

Presented by: 
Milton Jara IMPA - Instituto Nacional de Matemática Pura e Aplicada, Rio de Janeiro
Date: 
Monday 29th October 2018 - 11:00 to 12:30
Venue: 
INI Seminar Room 2
Abstract: 
I will present new entropy methods developed in   collaboration with Patrícia Gonçalves and Otávio Menezes (IST, Lisbon)   in order to study the large-scale behaviour of interacting particle   systems. The first lecture will introduce Yau's relative entropy   method and a new variational formula for exponential moments of   observables in the context of general Markov processes, and it could   be of independent interest. In the second and third lectures I will   explain how to derive large-scale limits of non-equilibrium   interacting particle systems out of these ideas.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons