Asymptotic formula for the decay of correlations in the stochastic model of planar rotators at high temperature |
| |
Authors: | E A Zhizhina |
| |
Institution: | (1) Institute for Problems of Information Transmission of the Russian Academy of Sciences, Moscow, Russia |
| |
Abstract: | We consider the stochastic model of planar rotators x(t)={xk(t), k∈Zd}, t≥0, xk(t)∈T1, at high temperature. For the decay of correlations <fA(x(0)), gA+k(t) (x(t))>, the asymptotic formula is obtained at t→∞, k(t)→∞, k(t)∈Zd. The basic methods we used are the spectral analysis of the Markov semigroup generator and the saddle-point method.
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 112, No. 1, pp. 67–80. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|