Survival probabilities in time-dependent random walks
Statistical Mechanics
2009-11-10 v1
Abstract
We analyze the dynamics of random walks in which the jumping probabilities are periodic {\it time-dependent} functions. In particular, we determine the survival probability of biased walkers who are drifted towards an absorbing boundary. The typical life-time of the walkers is found to decrease with an increment of the oscillation amplitude of the jumping probabilities. We discuss the applicability of the results in the context of complex adaptive systems.
Cite
@article{arxiv.cond-mat/0403209,
title = {Survival probabilities in time-dependent random walks},
author = {Ehud Nakar and Shahar Hod},
journal= {arXiv preprint arXiv:cond-mat/0403209},
year = {2009}
}
Comments
4 pages, 3 figures