Advertisement

Thermodynamic Formalism and Applications to Dimension Theory

  • LuisĀ Barreira

Part of the Progress in Mathematics book series (PM, volume 294)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Luis Barreira
    Pages 1-16
  3. Classical Thermodynamic Formalism

    1. Front Matter
      Pages 17-17
    2. Luis Barreira
      Pages 19-40
    3. Luis Barreira
      Pages 41-52
  4. Nonadditive Thermodynamic Formalism

    1. Front Matter
      Pages 53-53
    2. Luis Barreira
      Pages 55-83
    3. Luis Barreira
      Pages 85-119
    4. Luis Barreira
      Pages 121-138
  5. Subadditive Thermodynamic Formalism

    1. Front Matter
      Pages 139-139
    2. Luis Barreira
      Pages 141-164
    3. Luis Barreira
      Pages 165-178
    4. Luis Barreira
      Pages 179-199
  6. Almost Additive Thermodynamic Formalism

    1. Front Matter
      Pages 201-201
    2. Luis Barreira
      Pages 203-229
    3. Luis Barreira
      Pages 231-253
    4. Luis Barreira
      Pages 255-280
  7. Back Matter
    Pages 281-297

About this book

Introduction

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 formalism, namely nonadditive, subadditive, and almost additive, and provides a detailed discussion of some of the most significant results in the area, some of them quite recent. It also includes a discussion of the most substantial applications of these flavors of the thermodynamic formalism to dimension theory and multifractal analysis of dynamical systems.

Keywords

dimension theory multifractal analysis thermodynamic formalism

Authors and affiliations

  • LuisĀ Barreira
    • 1
  1. 1.Instituto Superior Tecnico, Depto. MatematicaUniversidade Tecnica LisboaLisboaPortugal

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-0348-0206-2
  • Copyright Information Springer Basel AG 2011
  • Publisher Name Springer, Basel
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-0348-0205-5
  • Online ISBN 978-3-0348-0206-2
  • Series Print ISSN 0743-1643
  • Series Online ISSN 2296-505X
  • Buy this book on publisher's site
Industry Sectors
Aerospace