Ergodic theory, hyperbolic dynamics and dimension theory / Luis Barreira
Type de document : Livre numériqueCollection : UniversitextLangue : anglais.Éditeur : New York : Springer, 2012ISBN: 9783642280900.ISSN: 2191-6675.Sujet MSC : 37-02, Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory37C45, Smooth dynamical systems: general theory, Dimension theory of smooth dynamical systems
37D35, Dynamical systems with hyperbolic behavior, Thermodynamic formalism, variational principles, equilibrium states for dynamical systemsEn-ligne : Springerlink | Zentralblatt | MathSciNet
... In level and prerequisites the book is aimed at graduate students and researchers interested in learning about ergodic theory, dimension theory, or hyperbolic dynamics. A substantial number of exercises of varying levels is included, and the care with which the material is presented as a self-contained coherent account makes it viable for independent study. The four parts of the book comprise ergodic theory, symbolic dynamics, topological dynamics; entropy theory up to the Shannon-McMillan-Breiman theorem and the variational principle, and an introduction to thermodynamic formalism; hyperbolic dynamics including Smale horseshoes and the construction of Markov partitions for a repeller and for any locally maximal hyperbolic set; dimension theory of hyperbolic dynamics (Zentralblatt)
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