Branching Random Walks with Bounded Steps in Random Environments
ZHANG Xiaoyue; ZHANG Meijuan
School of Statistics, Capital University of Economics and Business, Beijing, 100070, China; School of Statistics and Mathematics, Central University of Finance and Economics, Beijing, 100081, China
We consider a branching random walk with bounded steps in random environments, where the particles are produced as a branching process with a random environment in time, and move independently as a random walk with bounded steps on $\mathbb{Z}$ with a random environment in location. We study the speed of the rightmost particle, conditionally on the survival of the branching process.
张小玥, 张美娟. 随机环境中有界跳幅的分枝随机游动[J]. 应用概率统计, 2021, 37(1): 47-58.
ZHANG Xiaoyue; ZHANG Meijuan. Branching Random Walks with Bounded Steps in Random Environments. CHINESE JOURNAL OF APPLIED PROBABILITY AND STATIST, 2021, 37(1): 47-58.
