# Linear response formula for the topological entropy at the time one map of a geodesic flow on a manifold of negative curvature.

ABSTRACT Let $f$ be the time one map of a geodesic flow on a manifold of constant negative curvature with $\mu$ its Liouville measure. Consider $f_{t}$, a $C^{3}$ family of diffeomorphisms with $f_{0}=f$. In this talk we discuss about the differentiability of the map $t \mapsto h_{\mathrm{top}}(f_{t})$ at $t=0$, and we provide an explicit formula for its derivative.

Date: Dec 02, 2020 at 15:30:00 h
Speaker: Carlos Vásquez
Affiliation: Pontificia Universidad Católica de Valparaíso
Coordinator: Raimundo Briceño & Felipe Riquelme
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Posted on Nov 27, 2020 in Dynamical Systems, Seminars