一类右半直线上的独立同分布随机环境中的随机游动

Random walks in independent and Identically distributed random environment on right half-line

摘要:

本文给出在0点以一定概率吸收和反射的右半直线上独立同分布的随机环境中随机游动模型，讨论了该模型的常返性和极限性质，并计算其吸收概率.

Abstract:

In this paper, a model of random walk that is absorbed and reflected by a certain probability at 0 in independent and identically distributed random environment on the right half-line is given. The recurrence and limit properties of the model are discussed and the absorbing probabilities are calculated .