Dirac physical measures for generic diffeomorphisms

DOI10.1080/14689367.2017.1327031zbMath1393.37021arXiv1609.03766OpenAlexW2520781307MaRDI QIDQ4641462

Bruno Santiago

Publication date: 28 May 2018

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.03766

zbMATH Keywords

physical measuregeneric diffeomorphism

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Generic properties, structural stability of dynamical systems (37C20) Partially hyperbolic systems and dominated splittings (37D30) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

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Cites Work

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• On Dirac physical measures for transitive flows
• Quadratic maps without asymptotic measure
• Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
• What are SRB measures, and which dynamical systems have them?
• A \(C^1\)-generic dichotomy for diffeomorphisms: weak forms of hyperbolicity or infinitely many sinks of sources
• Lyapunov stability of \(\omega\)-limit sets
• Invariant measures for Cherry flows
• Perturbation of the Lyapunov spectra of periodic orbits
• Generic bi-Lyapunov stable homoclinic classes
• Nonexistence of SBR measures for some diffeomorphisms that are ‘Almost Anosov’
• The Pesin entropy formula for diffeomorphisms with dominated splitting
• Necessary Conditions for Stability of Diffeomorphisms
• Recurrence and genericity
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
• On Araujo's theorem for flows