Discontinuity of Hausdorff dimension and limit capacity on arcs of diffeomorphisms

DOI10.1017/S014338570000506XzbMath0668.58039MaRDI QIDQ3821327

Marcelo Viana, Lorenzo J. Dıaz

Publication date: 1989

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

saddle-node bifurcationHausdorff dimensionequilibrium stateslimit capacityAnosov maps

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (3)

Topological properties of differentiable maps derived from 2-toral endomorphisms ⋮ Dimension estimates in smooth dynamics: a survey of recent results ⋮ Ergodic theory of parabolic horseshoes

Cites Work

• Unnamed Item
• An inequality for the entropy of differentiable maps
• A Variational Principle for the Pressure of Continuous Transformations
• Differentiable dynamical systems

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