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Lyapunov Exponents

  • Luís Barreira

Table of contents

  1. Front Matter
    Pages i-xi
  2. Luís Barreira
    Pages 1-28
  3. Basic Theory

    1. Front Matter
      Pages 29-29
    2. Luís Barreira
      Pages 31-41
    3. Luís Barreira
      Pages 43-69
    4. Luís Barreira
      Pages 71-88
  4. Further Topics

    1. Front Matter
      Pages 89-89
    2. Luís Barreira
      Pages 91-113
    3. Luís Barreira
      Pages 115-135
    4. Luís Barreira
      Pages 137-165
  5. Hyperbolicity and Ergodic Theory

    1. Front Matter
      Pages 167-167
    2. Luís Barreira
      Pages 169-186
    3. Luís Barreira
      Pages 187-202
    4. Luís Barreira
      Pages 203-222
    5. Luís Barreira
      Pages 223-236
  6. Multifractal Analysis

    1. Front Matter
      Pages 237-237
    2. Luís Barreira
      Pages 239-252
    3. Luís Barreira
      Pages 253-264
  7. Back Matter
    Pages 265-273

About this book

Introduction

This book offers a self-contained introduction to the theory of Lyapunov exponents and its applications, mainly in connection with hyperbolicity, ergodic theory and multifractal analysis. It discusses the foundations and some of the main results and main techniques in the area, while also highlighting selected topics of current research interest. With the exception of a few basic results from ergodic theory and the thermodynamic formalism, all the results presented include detailed proofs. The book is intended for all researchers and graduate students specializing in dynamical systems who are looking for a comprehensive overview of the foundations of the theory and a sample of its applications.

Keywords

regularity hyperbolicity ergodic theory multifractal analysis thermodynamic formalism

Authors and affiliations

  • Luís Barreira
    • 1
  1. 1.Instituto Superior TécnicoUniversidade de LisboaLisboaPortugal

Bibliographic information

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