一类随机环境中的随机游动的零常返性

Zero Recurrence of a Class of Random Walks in a Random Environment

在Solomon[1]的条件下，本文证明了随机环境中的随机游动（RWIRE）Xn，n≥0零常返的充要条件为，进而得知：RWIREXn，n≥0零常返与常返等价。

In this paper, we prove that a sufficient and necessary condition for RWIRE Xn, n ≥0 to be zero recurrence is Eln(β1/α1 ) = 0 in the Solomon's case, and obtain that recurrence and zero recurrence of RWIRE Xn, n≥0 are equivalent.