Gibbs under Stochastic Dynamics?

F. den Hollander

2004, v.10, №3, 507-516

ABSTRACT

This paper is a mini-overview of some recent results on the evolution of Ising-spin systems under Glauber spin-flip dynamics, in particular, the question whether Gibbsianness is preserved, lost or recovered during the dynamics. Examples of all three scenarios are given, with an explanation of what drives the behavior. Some open problems are formulated as well.

Keywords: Ising-spin systems,Glauber spin-flipdynamics,Gibbs measure,bad configuration,preservation,loss or recovery of Gibbsianness

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