Geodesic
Asymptotic formula for correlation decay in the stochastic model of planar rotators at high temperatures
Teoretičeskaâ i matematičeskaâ fizika, Tome 112 (1997) no. 1, pp. 67-80 Cet article a éte moissonné depuis la source Math-Net.Ru

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We found the asymptotic formula for correlations decay $\langle f_A(x(0)),g_{A+k(t)}(x(t))\rangle$, when $t\to\infty$, $k(t)\to\infty$, $k(t)\in Z^d$, in the stochastic model of planar rotators on a lattice $x(t)=\bigl\{x_k(t),k\in Z^d\bigr\}$, $t\geq0$, $x_k(t)\in T^1$ at high temperatures. The basic methods we use are the spectral analysis of the Markov semigroup generator and the saddle-point method. 
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     author = {E. A. Zhizhina},
     title = {Asymptotic formula for correlation decay in the stochastic model of planar rotators at high temperatures},
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}
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E. A. Zhizhina. Asymptotic formula for correlation decay in the stochastic model of planar rotators at high temperatures. Teoretičeskaâ i matematičeskaâ fizika, Tome 112 (1997) no. 1, pp. 67-80. http://geodesic.mathdoc.fr/item/TMF_1997_112_1_a2/

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