EXPECTED NUMBER OF SITES VISITED BY A CONSTRAINED N-STEP RANDOM-WALK

被引：2

作者：

LARRALDE, H ^{[1
]}

WEISS, GH ^{[1
]}

机构：

[1] NIH, DIV COMP RES & TECHNOL, BETHESDA, MD 20892 USA

来源：

PHYSICAL REVIEW E | 1995年 / 52卷 / 02期

关键词：

D O I：

10.1103/PhysRevE.52.1313

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We develop a formalism based on generating functions for calculating the expected number of sites visited by a lattice random walk constrained to visit a fixed point at the nth step. Explicit results are given in the large-n limit when the target point is not too far from the origin.

引用

页码：1313 / 1317

页数：5

共 22 条

[1] FUNCTIONAL CENTRAL LIMIT-THEOREM FOR RANDOM-WALKS CONDITIONED TO STAY POSITIVE [J].