The scaling relation χ=2ξ-1 for directed polymers in a random environment

被引：0

作者：

Auffinger, Antonio ^{[1
]}

Damron, Michael ^{[2
]}

机构：

[1] Univ Chicago, Dept Math, Chicago, IL 60637 USA

[2] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

来源：

ALEA-LATIN AMERICAN JOURNAL OF PROBABILITY AND MATHEMATICAL STATISTICS | 2013年 / 10卷 / 02期

基金：

美国国家科学基金会;

关键词：

Directed Polymers; Fluctuation Exponents; KPZ scaling relation; SHAPE FLUCTUATIONS; LIMITING-SHAPE;

D O I：

暂无

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 the scaling relation chi = 2 xi - 1 between the transversal exponent xi and the fluctuation exponent chi for directed polymers in a random environment in d dimensions. The definition of these exponents is similar to that proposed in Chatterjee (2013) in first-passage percolation. The proof presented here also establishes the relation in the zero temperature version of the model, known as last-passage percolation.

引用

页码：857 / 880

页数：24

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