The properties of generrated chain for random walks on half-line in random

Many problems in natural sciences can be attributed to random walk,mostly considering the motion of particles in the shaft.Unrestricted random walk is the kind of random walk in which the particles can move in the whole shaft.This paper focuses on the recurrence of a derivative chain,with reflection barrier on the zero point,random walk on the right.This paper,letting {Xn,n∈Z+} be random walks on half-line,putting T0=0,Ti=min{nTj-1;Xn-Xn-10},j 1,under the conditon of P(Tj∞)=1,mainly discusses the recurrence and positive recurrence of its derivative chain.