Testing the irreversibility of a Gibbsian process via hitting and return times
Mathematical Physics
2009-11-11 v2 Dynamical Systems
math.MP
Abstract
We introduce estimators for the entropy production of a Gibbsian process based on the observation of a single or two typical trajectories. These estimators are built with adequate hitting and return times. We then study their convergence and fluctuation properties. This provides statisticals test for the irreversibility of Gibbsian processes.
Cite
@article{arxiv.math-ph/0503071,
title = {Testing the irreversibility of a Gibbsian process via hitting and return times},
author = {J. -R. Chazottes and F. Redig},
journal= {arXiv preprint arXiv:math-ph/0503071},
year = {2009}
}
Comments
16 pages; Corrected version; To appear in Nonlinearity