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A random walk with a branching system in random environments

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成果类型:
期刊论文
作者:
Li, Ying-qiu*;Li, Xu;Li, Quan-sheng
通讯作者:
Li, Ying-qiu
作者机构:
[Li, Ying-qiu] Changsha Univ Sci & Technol, Sch Math & Comp Sci, Changsha 410076, Peoples R China.
Univ Bretgne Sud, LMAM, F-56017 Vannes, France.
通讯机构:
[Li, Ying-qiu] C
Changsha Univ Sci & Technol, Sch Math & Comp Sci, Changsha 410076, Peoples R China.
语种:
英文
关键词:
random walks in random environments;branching processes in random environments;rightmost particles;phase transition;large deviation
期刊:
SCIENCE IN CHINA SERIES A-MATHEMATICS
ISSN:
1006-9283
年:
2007
卷:
50
期:
5
页码:
698-704
基金类别:
the National Natural Science Foundation of China (Grant Nos. 10271020,10471012) SRF for ROCS, SEM (Grant No. [2005]564)
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学院
摘要:
We consider a branching random walk in random environments, where the particles are reproduced as a branching process with a random environment (in time), and move independently as a random walk on Z with a random environment (in locations). We obtain the asymptotic properties on the position of the rightmost particle at time n, revealing a ph...
摘要(中文):
We consider a branching random walk in random environments, where the particles are reproduced as a branching process with a random environment (in time), and move independently as a random walk on Z with a random environment (in locations). We obtain the asymptotic properties on the position of the rightmost particle at time n, revealing a phase trans...

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