Asymptotic formula for the decay of correlations in the stochastic model of planar rotators at high temperature
type: Item
instance of: scholarly article
title: Asymptotic formula for the decay of correlations in the stochastic model of planar rotators at high temperature
zbMATH Open document ID: 0978.82502
DOI: 10.1007/BF02634099
published in: Theoretical and Mathematical Physics
publication date: 2002-02-06T00:00:00Z
review text: We consider the stochastic model of planar rotators \(x(t)=\{x_k(t),\;k\in Z^d\}\), \(t\geq 0\), \(x_k(t)\in T^1\), at high temperature. For the decay of correlations \(\langle f_A(x(0)),g_{A+k(t)}(x(t))\rangle\), the asymptotic formula is obtained at \(t\to\infty\), \(k(t)\to\infty\), \(k(t)\in Z^d\). The basic methods we use are the spectral analysis of the Markov semigroup generator and the saddle-point method.
Mathematics Subject Classification ID: 82B05
Mathematics Subject Classification ID: 60K40
Mathematics Subject Classification ID: 47D07
zbMATH DE Number: 1324754
author: Elena Zhizhina
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1324754