A random walk with a branching system in random environments

作者：Li, Ying qiu^*; Li, Xu; Li, Quan sheng

来源：Science in China Series A-Mathematics, 2007, 50(5): 698-704.

DOI：10.1007/s11425-007-0037-0

• random walks in random environments
• branching processes in random environments
• rightmost particles
• phase transition
• large deviation

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.

• 出版日期2007-5
• 单位长沙学院