Phase transitions in a class of infinite particle systems

Stochastic Analysis Seminar Series

   We  study infinite (random) systems of interacting particles living in a Euclidean space X and possessing internal parameter (spin) in R¹. Such systems are described by Gibbs measures on the space Γ(X,R¹) of marked configurations in X (with marks in R¹). For a class of pair interactions, we show the occurrence of phase transition, i.e. non-uniqueness of the corresponding Gibbs measure, in both 'quenched' and 'annealed' counterparts of the model.

Location:
Speaker(s):

ALEX DALETSKI

Date:
Monday, June 9, 2014 - 15:45
to 16:45