An H-theorem for the Brownian motion on the hyperbolic plane
Statistical Mechanics
2011-01-11 v3
Abstract
We prove an theorem for the Brownian motion on the hyperbolic plane with a drift, as studied by Comtet and Monthus; the entropy used here is not the Boltzmann entropy but the R\'enyi entropy, the parameter of which being related in a simple way to the value of the drift.
Cite
@article{arxiv.1009.3232,
title = {An H-theorem for the Brownian motion on the hyperbolic plane},
author = {C. Vignat and P. W. Lamberti},
journal= {arXiv preprint arXiv:1009.3232},
year = {2011}
}
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