Uniqueness of Fokker-Planck equations for spin lattice systems

来源 :2012随机分析与相关问题研讨会 | 被引量 : 0次 | 上传用户:teliek
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  In recent years there has been a growing interest in the investigation of lattice systems when the spin space of every particle is a Riemannian manifold.Equilibrium states of such systems are described by Gibbs measures on infinite product of manifolds and the stochastic dynamics corresponding to these states is given by a semigroup.An important problem is the uniqueness of this dynamics,e.g.the uniqueness in the sense of martingale problem or in the sense of the essential self-adjointness.Here we further develop a method to prove the uniqueness of solutions of Fokker-Planck equation for continuous spin lattice systems.This is a joint work with Ludovic Dan Lemle and Liming Wu.
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