Maximal entropy measures for certain partially hyperbolic, derived from Anosov systems
By Jérôme Buzzi, Tom A. Fisher, Mart'in Sambarino, C. Vásquez. Ergodic Theory and Dynamical Systems, 2011
85 citations recorded by the source corpus.
Subfields: Computer Networks and Communications, Mathematical Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/10a4162ed5b50e3727436f6b81a615977e0fd331
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In Computer Networks and Communications
In Mathematical Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Maximizing measures for partially hyperbolic systems with compact center leaves (2010, methodology): “e get examples of robustly mixing systems with more than one maximizing measures. This contrasts with the uniformly hyperbolic case and gives a negative answer to a question of J. Buzzi and T. Fisher [7]. Theorem 2. There exist robustly mixing diffeomorphisms where the number of entropy maximizing me”
- Measures of maximal entropy for surface diffeomorphisms (2018, background): “This was first shown for uniformly hyperbolic systems: subshifts of finite type [70], hyperbolic toral automorphisms in dimension two [3], Anosov diffeomorphisms [86], Axiom A diffeomorphisms [11], or flows [14, 71].”