SPECTRAL GAP AND LOGARITHMIC SOBOLEV INEQUALITY FOR KAWASAKI AND GLAUBER DYNAMICS

被引：124

作者：

LU, SL ^{[1
]}

YAU, HT ^{[1
]}

机构：

[1] NYU, COURANT INST MATH SCI, NEW YORK, NY 10012 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1993年 / 156卷 / 02期

关键词：

D O I：

10.1007/BF02098489

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove that the spectral gap of the Kawasaki dynamics shrink at the rate of 1/L2 for cubes of size L provided that some mixing conditions are satisfied. We also prove that the logarithmic Sobolev inequality for the Glauber dynamics in standard cubes holds uniformly in the size of the cube if the Dobrushin-Shlosman mixing condition holds for standard cubes.

引用

页码：399 / 433

页数：35

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