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
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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.
@article{TMF_1997_112_1_a2,
author = {E. A. Zhizhina},
title = {Asymptotic formula for correlation decay in the stochastic model of planar rotators at high temperatures},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {67--80},
publisher = {mathdoc},
volume = {112},
number = {1},
year = {1997},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1997_112_1_a2/}
}
TY - JOUR AU - E. A. Zhizhina TI - Asymptotic formula for correlation decay in the stochastic model of planar rotators at high temperatures JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1997 SP - 67 EP - 80 VL - 112 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1997_112_1_a2/ LA - ru ID - TMF_1997_112_1_a2 ER -
%0 Journal Article %A E. A. Zhizhina %T Asymptotic formula for correlation decay in the stochastic model of planar rotators at high temperatures %J Teoretičeskaâ i matematičeskaâ fizika %D 1997 %P 67-80 %V 112 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1997_112_1_a2/ %G ru %F TMF_1997_112_1_a2
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/