Volume 272 2008

Dimension and Recurrence in Hyperbolic Dynamics

Authors:

ISBN: 978-3-7643-8881-2 (Print) 978-3-7643-8882-9 (Online)

Table of contents (15 chapters)

  1. Front Matter

    Pages i-xiv

  2. Introduction

    1. No Access

      Book Chapter

      Pages 1-5

      Introduction

  3. Basic Notions

    1. No Access

      Book Chapter

      Pages 7-15

      Basic Notions

  4. Dimension Theory

    1. Front Matter

      Pages 17-17

    2. No Access

      Book Chapter

      Pages 19-39

      Dimension Theory and Thermodynamic Formalism

    3. No Access

      Book Chapter

      Pages 41-66

      Repellers and Hyperbolic Sets

    4. No Access

      Book Chapter

      Pages 67-78

      Measures of Maximal Dimension

  5. Multifractal Analysis: Core Theory

    1. Front Matter

      Pages 79-79

    2. No Access

      Book Chapter

      Pages 81-100

      Multifractal Analysis of Equilibrium Measures

    3. No Access

      Book Chapter

      Pages 101-125

      General Concept of Multifractal Analysis

    4. No Access

      Book Chapter

      Pages 127-146

      Dimension of Irregular Sets

    5. No Access

      Book Chapter

      Pages 147-164

      Variational Principles in Multifractal Analysis

  6. Multifractal Analysis: Further Developments

    1. Front Matter

      Pages 165-165

    2. No Access

      Book Chapter

      Pages 167-190

      Multidimensional Spectra and Number Theory

    3. No Access

      Book Chapter

      Pages 191-208

      Multifractal Rigidity

    4. No Access

      Book Chapter

      Pages 209-220

      Hyperbolic Sets: Past and Future

  7. Hyperbolicity and Recurrence

    1. Front Matter

      Pages 221-221

    2. No Access

      Book Chapter

      Pages 223-235

      Pointwise Dimension for Hyperbolic Dynamics

    3. No Access

      Book Chapter

      Pages 237-254

      Product Structure of Hyperbolic Measures

    4. No Access

      Book Chapter

      Pages 255-283

      Quantitative Recurrence and Dimension Theory

  8. Back Matter

    Pages 285-300