Oscillatory correlation of delayed random walks
Statistical Mechanics
2009-10-30 v1
Abstract
We investigate analytically and numerically the statistical properties of a random walk model with delayed transition probability dependence (delayed random walk). The characteristic feature of such a model is the oscillatory behavior of its correlation function. We investigate a model whose transient and stationary oscillatory behavior is analytically tractable. The correspondence of the model with a Langevin equation with delay is also considered.
Cite
@article{arxiv.cond-mat/9701066,
title = {Oscillatory correlation of delayed random walks},
author = {Toru Ohira},
journal= {arXiv preprint arXiv:cond-mat/9701066},
year = {2009}
}
Comments
To apper in Phys. Rev. E