A random walk with a branching system in random environments  

作　　者：Ying-qiu LI Xu LI Quan-sheng LIU 

机构地区：[1]School of Mathematics and Computing Sciences,Changsha University of Science and Technology,Changsha 410076,China [2]LMAM,University of Bretgne-Sud,BP573,56017 Vannes,Prance

出　　处：《Science China Mathematics》2007年第5期698-704,共7页中国科学：数学（英文版）

基　　金：the National Natural Science Foundation of China (Grant Nos. 10271020,10471012);SRF for ROCS, SEM (Grant No. [2005]564)

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 ? with a random environment (in locations). We obtain the asymptotic properties on the position of the rightmost particle at time n, revealing a phase transition phenomenon of the system.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 transition phenomenon of the system.

关 键 词：random walks in random environments branching processes in random environments rightmost particles phase transition large deviation 60J10 60F05 

分 类 号：O192[理学—数学]