Thermodynamic formalism and applications to dimension theory / Luis Barreira
Type de document : Livre numériqueCollection : Progress in mathematics, 294Langue : anglais.Éditeur : Basel : Birkhäuser, cop. 2011ISBN: 9783034802055.ISSN: 0743-1643.Sujet MSC : 37D35, Dynamical systems with hyperbolic behavior, Thermodynamic formalism, variational principles, equilibrium states for dynamical systems37C45, Smooth dynamical systems: general theory, Dimension theory of smooth dynamical systems
37C70, Smooth dynamical systems: general theory, Attractors and repellers and their topological structure
37D05, Dynamical systems with hyperbolic behavior, Dynamical systems with hyperbolic orbits and sets
37A35, Ergodic theory, Entropy and other invariants, isomorphism, classification in ergodic theoryEn-ligne : Springerlink | MSN | zbMath
This book gives a detailed account of the connection between two areas of dynamical systems, the thermodynamic formalism and dimension theory in dynamical systems. The main topics covered are sub-additive and almost additive thermodynamic formalisms and their connections to the dimension theory of non-conformal repellers and multifractal analysis in various settings. The book is probably best read by someone already familiar with the basics of ergodic theory, dynamical systems, and the Hausdorff dimension along with standard methods from geometric measure theory for calculating the Hausdorff dimension. ... (MSN)
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