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
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
收藏
页码:6165 / 6189
页数:25
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