SEMINARIO Probabilita' a Roma Tre
Prof. Emilio De Santis Universita' La Sapienza
Titolo: Stochastic Ising model with fast decreasing temperature.
Mercoledi' 19 Ottobre 2016 ORE 14:30
Dipartimento di Matematica e Fisica Universita' degli Studi Roma Tre Largo San Leonardo Murialdo,1 - Pal.C, 311
Abstract Abstract. In the regime of temperature fast decreasing to zero, results on the stochastic Ising models are presented. A k-dynamics allowing to flip sets of k spins at the same time is also introduced showing that the behavior of the models deeply depends on this parameter. For these models we follow the classification of Gandolfi, Newman, Stein (2000), i.e. a model is of type F if any spin flips finitely many times a.s., it is of type I if any spin flips infinitely many times a.s., or it is of type M otherwise. Conditions to obtain models of type F, I, or M and examples are discussed.