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UID:5480@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20120203T100000
DTEND;TZID=Europe/Paris:20120203T120000
DTSTAMP:20241028T213626Z
URL:https://www.i2m.univ-amu.fr/evenements/gibbs-and-non-gibbs-measures-in
 -space-and-time/
SUMMARY:Frank Redig (TUDelft): Gibbs and non-Gibbs measures in space and ti
 me
DESCRIPTION:Frank Redig: Gibbs measures are the mathematical formalization 
 of Boltzmann-Gibbs distributions and describe equilibrium states of extend
 ed systems in statistical mechanics. If one starts a system in equilibrium
  and subjects it to a dynamics\, modelling e.g. heating or cooling\, a nat
 ural question is whether some “effective” interaction describes the tr
 ansient non-equilibrium states that the systems goes through. Starting wit
 h the simplest example of a lattice system with Ising spins\, we show that
  quite generically\, if one heats up a low-temperature system\, the Gibbs 
 property will be lost (and sometimes recovered) in the course of time\, i.
 e.\, a reasonable effective interaction does typically not exist for all t
 imes. We show how this can be related to large deviation properties of Mar
 kov processes conditioned to arrive at an “exceptional” state in the f
 uture. Depending on how far in the future the conditioning occurs\, optima
 l trajectories can be unique or non-unique.\nBased on joint work with A. v
 an Enter\, R. Fernandez\, F. den Hollander.\nhttp://dutiosb.twi.tudelft.nl
 /~redig/\nFrank Redig
CATEGORIES:Séminaire,Hypatie
LOCATION:St Charles - FRUMAM\, 3\, place Victor Hugo\, Marseille\, 13003\, 
 France
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