Ergodic theory, hyperbolic dynamics and dimension theory

Over the last two decades, the dimension theory of dynamical systems has progressively developed into an independent and extremely active field of research. The main aim of this volume is to offer a unified, self-contained introduction to the interplay of these three main areas of research: ergodic...

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Detalhes bibliográficos
Autor principal: Barreira, Luís Manuel, 1968-
Formato: Livre numérique
Idioma:Anglais
Publicado em: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Edição:1st ed. 2012.
Colecção:Universitext
Assuntos:
Acesso em linha:Accès sur la plateforme de l'éditeur
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Accès Université d'Orléans
Accès INSA CVL
Nota: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Ergodic theory, hyperbolic dynamics and dimension theory, Luis Barreira, Berlin, Springer, 2012, 1 vol. (XII-290 p.), Universitext, 978-3-642-28089-4
• Ergodic Theory, Hyperbolic Dynamics and Dimension Theory, Texte imprimé, 9783642280917
• Ergodic theory, hyperbolic dynamics and dimension theory, Luis Barreira, Berlin, Springer, 2012, 1 vol. (XII-290 p.), Universitext, 978-3-642-28089-4
Sumário:
  • Preface I Ergodic Theory 1.Basic Notions and Examples 2.Further Topics II Entropy and Pressure 3.Metric Entropy and Topological Entropy 4.Thermodynamic Formalism. III Hyperbolic Dynamics 5.Basic Notions and Examples 6.Invariant Manifolds and Markov Partitions IV Dimension Theory 7.Basic Notions and Examples 8.Dimension Theory of Hyperbolic Dynamics A Notions from Measure Theory Bibliography Index
  • Preface
  • I Ergodic Theory
  • II Entropy and Pressure
  • III Hyperbolic Dynamics
  • IV Dimension Theory
  • Bibliography
  • Index.
  • 1.Basic Notions and Examples
  • 2.Further Topics
  • 3.Metric Entropy and Topological Entropy
  • 4.Thermodynamic Formalism.
  • 5.Basic Notions and Examples
  • 6.Invariant Manifolds and Markov Partitions
  • 7.Basic Notions and Examples
  • 8.Dimension Theory of Hyperbolic Dynamics
  • A Notions from Measure Theory