半直线上随机游动一个派生链的性质  

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

作　　者：喻娜[1] 宋明珠[1] 

机构地区：[1]安徽师范大学数学计算机学院,安徽芜湖241000

出　　处：《安徽工程科技学院学报（自然科学版）》2007年第2期70-72,共3页Journal of Anhui University of Technology and Science

摘　　要：自然科学中大量的问题都可以归结为随机游动的问题.随机游动考虑的是质点在数轴上的随机运动,若质点可以在整个数轴上运动,则称这种随机游动为无限制随机游动.着重讨论了在0点上具有反射壁的右半直线上随机游动一个派生链的常返性和正常返性.设{Xn,n∈Z+}为半直线上的随机游动.令T0=0,Tj=min{n>Tj-1;Xn-Xn-1<0},j 1,在P(Tj<∞)=1的条件下,讨论了其派生链的常返性和正常返性.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{n〉Tj-1;Xn-Xn-1〈0},j≥1, under the conditon of P（Tj〈∞） = 1, mainly discusses the recurrence and positive recurrence of its derivative chain.

关 键 词：随机游动 反射壁 常返 正常返 

分 类 号：O211.6[理学—概率论与数理统计]