带形上近临界随机游动的常返暂留性

Recurrence Classification of Random Walk on a Strip: Near-critical

本文研究带形上的近临界随机游动,借助游动常返暂留性判别准则的显式表达,通过带扰动的线性差分系统的解的渐近性理论,以及矩阵的范数性质,在扰动矩阵不同的阶的条件下,给出了游动常返暂留性的判别.

Consider the near-critical random walk on a strip.By the explicit criteria for recurrence and transience,with the help of asymptotic theory of the solution of linear difference system with disturbance,and the propositions of matrix norm,we give a recurrence classification in terms of the order of the perturbation matrix.