A correlated random walk model for two-dimensional diffusion

Author:

Henderson Robin,Renshaw Eric,Ford David

Abstract

A two-dimensional lattice random walk is studied in which, at each stage, the direction of the next step is correlated to that of the previous step. An exact expression is obtained from the characteristic function for the dispersion matrix of the n-step transition probabilities, and the limiting diffusion equation is derived.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The general correlated random walk;Journal of Applied Probability;1994-12

2. The Gillis–Domb–Fisher correlated random walk;Journal of Applied Probability;1992-12

3. Some explicit results for correlated random walks;Journal of Applied Probability;1989-12

4. One-dimensional classical scattering processes and the diffusion limit;Advances in Applied Probability;1987-03

5. A planar random motion governed by the two-dimensional telegraph equation;Journal of Applied Probability;1986-06

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