Sharp asymptotics for the free energy of 1+1 dimensional directed polymers in an infinitely divisible environment

被引：6

作者：

Watbled, Frederique ^{[1
]}

机构：

[1] Univ Bretagne Sud, UMR 6205, LMBA, Bretagne, France

来源：

ELECTRONIC COMMUNICATIONS IN PROBABILITY | 2012年 / 17卷

关键词：

directed polymers in random environment; free energy; infinite divisibility; FKG inequality;

D O I：

10.1214/ECP.v17-2221

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 give sharp estimate for the free energy of directed polymers in random environment in dimension 1+1. This estimate was known for a Gaussian environment, we extend it to the case where the law of the environment is infinitely divisible.

引用

页码：1 / 9

页数：9

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