Seminar series
Date
Mon, 09 Jun 2014
Time
15:45 -
16:45
Location
Oxford-Man Institute
Speaker
ALEX DALETSKI
Organisation
York University
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.