主 题: A branching random walk with a random environment in time
报告人: Prof. Quansheng Liu (Universite de Bretagne-Sud, France)
时 间: 2011-04-28 上午10：00-11：00
地 点: 理科一号楼1560
We consider a branching random walk on R with a random environment in
time, in which the ospring distribution of a particle of generation n, and the
distributions of the displacements of their children depend on an environment
$Z_n(\\cdot)$ indexed by the time n, which is supposed to be a stationary and
ergodic sequence of random variables. Let Zn(:) be the counting measure
which counts the number of particles of generation n situated in a given
set of R, and Ln (resp. Rn) be the position of leftmost (resp. rightmost)
particles of generation n. We present large deviations principles and central
limit theorems on the counting measures Zn, and laws of large numbers on
Ln and Rn. (The talk is based on a joint work with Chunmao Huang.)
