BUSEMANN FUNCTIONS AND THE SPEED OF A SECOND CLASS PARTICLE IN THE RAREFACTION FAN

被引：14

作者：

Cator, Eric ^{[1
]}

Pimentel, Leandro P. R. ^{[2
]}

机构：

[1] Delft Univ Technol, Delft Inst Appl Math, NL-2628 CD Delft, Netherlands

[2] Univ Fed Rio de Janeiro, Inst Math, BR-21941909 Rio De Janeiro, RJ, Brazil

来源：

ANNALS OF PROBABILITY | 2013年 / 41卷 / 04期

关键词：

TASEP; second class particles; rarefaction fan; BEHAVIOR;

D O I：

10.1214/11-AOP709

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：

In this paper we will show how the results found in [Probab. Theory Related Fields 154 (2012) 89-125], about the Busemann functions in last-passage percolation, can be used to calculate the asymptotic distribution of the speed of a single second class particle starting from an arbitrary deterministic configuration which has a rarefaction fan, in either the totally asymetric exclusion process or the Hammersley interacting particle process. The method will be to use the well-known last-passage percolation description of the exclusion process and of the Hammersley process, and then the well-known connection between second class particles and competition interfaces.

引用

页码：2401 / 2425

页数：25

共 20 条

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