FLUCTUATIONS OF THE FRONT IN A ONE DIMENSIONAL MODEL OF X plus Y → 2X

被引：17

作者：

Comets, Francis ^{[1
]}

Quastel, Jeremy ^{[2
,3
]}

Ramirez, Alejandro F. ^{[4
]}

机构：

[1] Univ Paris 07, Lab Probabil & Modeles Aleatoires, F-75251 Paris 05, France

[2] Univ Toronto, Dept Math, Toronto, ON M5S 1L2, Canada

[3] Univ Toronto, Dept Stat, Toronto, ON M5S 1L2, Canada

[4] Pontificia Univ Catolica Chile, Fac Math, Santiago, Chile

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2009年 / 361卷 / 11期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Regeneration times; interacting particle systems; front propagation;

D O I：

10.1090/S0002-9947-09-04889-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a model of the reaction X + Y -> 2X on the integer lattice in which Y particles do not move while X particles move its independent continuous time, simple symmetric random walks. Y particles are transformed instantaneously to X particles upon contact We start with a fixed number a >= 1 of Y particles at each site to the right of the origin We prove a central limit theorem for the rightmost visited site of the X particles lip to time t and show that the of the environment as seen from the front converges to a unique invariant measure

引用

页码：6165 / 6189

页数：25

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