Differentiating the stochastic entropy for compact negatively curved spaces under conformal changes
Dynamical Systems
2015-08-13 v2
Abstract
We consider the universal cover of a closed Riemannian manifold of negative sectional curvature. We show that the linear drift and the stochastic entropy are differentiable under any C^3 one-parameter family of C^3 conformal changes of the original metric.
Cite
@article{arxiv.1309.5182,
title = {Differentiating the stochastic entropy for compact negatively curved spaces under conformal changes},
author = {Francois Ledrappier and Lin Shu},
journal= {arXiv preprint arXiv:1309.5182},
year = {2015}
}
Comments
Revised version