Counterexamples to Ruelle's inequality in the noncompact case

DOI10.5802/aif.3076zbMath1380.37048arXiv1510.05031OpenAlexW2964333623WikidataQ124804428 ScholiaQ124804428MaRDI QIDQ1687855

Felipe Riquelme

Publication date: 4 January 2018

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.05031

zbMATH Keywords

Riemannian geometryergodic theoryLyapunov exponentRuelle's inequality

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dynamics induced by flows and semiflows (37C10) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (6)

Ruelle's inequality in negative curvature ⋮ Margulis–Ruelle inequality for general manifolds ⋮ Contributions to the study of Anosov geodesic flows in non-compact manifolds ⋮ Some rigidity theorems for Anosov geodesic flows in manifolds of finite volume ⋮ Smooth ergodic theory of \(\mathbb{Z}^d \)-actions ⋮ Lower bound in Pesin formula of C ¹ interval maps*

Cites Work

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• An entropy estimate for infinite interval exchange transformations
• Cutting and stacking, interval exchanges and geometric models
• Invariant manifolds, entropy and billiards; smooth maps with singularities. With the collab. of F. Ledrappier and F. Przytycki
• The Existence of Complete Riemannian Metrics
• An inequality for the entropy of differentiable maps

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