Long time behavior of telegraph processes under convex potentials
Probability
2015-07-14 v1
Abstract
We study the long-time behavior of variants of the telegraph process with position-dependent jump-rates, which result in a monotone gradient-like drift toward the origin. We compute their invariant laws and obtain, via probabilistic couplings arguments, some quantitative estimates of the total variation distance to equilibrium. Our techniques extend ideas previously developed for a simplified piecewise deterministic Markov model of bacterial chemotaxis.
Cite
@article{arxiv.1507.03503,
title = {Long time behavior of telegraph processes under convex potentials},
author = {Joaquin Fontbona and Hélène Guérin and Florent Malrieu},
journal= {arXiv preprint arXiv:1507.03503},
year = {2015}
}
Comments
26 pages, 3 figures