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arXiv · 1309.5182

Differentiating the stochastic entropy for compact negatively curved spaces under conformal changes

Francois Ledrappier·Lin Shu
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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.

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Francois Ledrappier, Lin Shu. 2015-08-12. Differentiating the stochastic entropy for compact negatively curved spaces under conformal changes. https://arxiv.org/abs/1309.5182

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