Stochastic description of delayed systems
Statistical Mechanics
2015-06-11 v1 Soft Condensed Matter
Data Analysis, Statistics and Probability
Abstract
We study general stochastic birth and death processes including delay. We develop several approaches for the analytical treatment of these non-Markovian systems, valid, not only for constant delays, but also for stochastic delays with arbitrary probability distributions. The interplay between stochasticity and delay and, in particular, the effects of delay in the fluctuations and time correlations are discussed.
Cite
@article{arxiv.1209.4881,
title = {Stochastic description of delayed systems},
author = {Luis F. Lafuerza and Raul Toral},
journal= {arXiv preprint arXiv:1209.4881},
year = {2015}
}