LARGE DEVIATIONS FROM THE HYDRODYNAMICAL LIMIT OF MEAN ZERO ASYMMETRIC ZERO-RANGE PROCESSES

被引：26

作者：

BENOIS, O ^{[1
]}

KIPNIS, C ^{[1
]}

LANDIM, C ^{[1
]}

机构：

[1] UNIV PARIS 09,CEREMADE,F-75016 PARIS,FRANCE

来源：

STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 1995年 / 55卷 / 01期

基金：

美国国家科学基金会;

关键词：

ZERO RANGE PROCESS; HYDRODYNAMICAL LIMIT; LARGE DEVIATIONS;

D O I：

10.1016/0304-4149(95)91543-A

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We prove an upper and a lower bound, which coincide for smooth profiles, of large deviations from the hydrodynamical limit of the empirical measure for a class of zero range processes in infinite volume starting from equilibrium, This result relies on a superexponential estimate in infinite volume which is proved in the last section of this paper.

引用

页码：65 / 89

页数：25

共 9 条

[1] INVARIANT-MEASURES FOR THE ZERO RANGE PROCESS [J].