Topological Pressure via Saddle Points

Abstract

Let Λ be a compact locally maximal invariant set of a C2diffeomorphism f : M → M on a smooth Riemannian manifold M . In this paper we study the topological pressure Ptop(φ) (with respect to the dynamical system f |Λ) for a wide class of Hölder continuous potentials and analyze its relation to dynamical, as well as geometrical, properties of the system. We… (More)

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Cite this paper

@inproceedings{Gelfert2007TopologicalPV, title={Topological Pressure via Saddle Points}, author={Katrin Gelfert and Christian Wolf}, year={2007} }