Thermodynamic Formalism and Applications to Dimension Theory

This self-contained monograph presents a unified exposition of the thermodynamic formalism and some of its main extensions, with emphasis on the relation to dimension theory and multifractal analysis of dynamical systems. In particular, the book considers three different flavors of the thermodynamic...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Barreira, Luis (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Basel : Springer Basel, 2011.
Σειρά:Progress in Mathematics ; 294
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • Preface
  • 1 Introduction
  • I Classical Thermodynamic Formalism
  • 2 Thermodynamic Formalism: Basic Notions
  • 3 The Case of Symbolic Dynamics
  • II Nonadditive Thermodynamic Formalism
  • 4 Nonadditive Thermodynamic Formalism
  • 5 Dimension Estimates for Repellers
  • 6 Dimension Estimates for Hyperbolic Sets
  • III Subadditive Thermodynamic Formalism
  • 7 Asymptotically Subadditive Sequences
  • 8 Limit Sets of Geometric Constructions
  • 9 Entropy Spectra
  • IV Almost Additive Thermodynamic Formalism
  • 10 Almost Additive Sequences
  • 11 Nonconformal Repellers
  • 12 Multifractal Analysis
  • Bibliography.