Description

Book Synopsis
Provides the first comprehensive introduction to smooth ergodic theory. The book first introduces the core of the theory and then discusses more advanced topics. It includes more than 80 exercises.

Table of Contents
  • The core of the theory: Examples of hyperbolic dynamical systems
  • General theory of Lyapunov exponents
  • Cocylces over dynamical systems
  • The multiplicative ergodic theorem
  • Elements of the nonuniform hyperbolicity theory
  • Lyapunov stability theory of nonautonomous equations
  • Local manifold theory
  • Absolute continuity of local manifolds
  • Ergodic properties of smooth hyperbolic measures
  • Geodesic flows on surfaces of nonpositive curvature
  • Topological and ergodic properties of hyperbolic measures
  • Selected advanced topics: Cone techniques
  • Partially hyperbolic diffeomorphisms with nonzero exponents
  • More examples of dynamical systems with nonzero Lyapunov exponents
  • Anosov rigidity
  • $C^1$ pathological behavior: Pugh's example
  • Bibliography
  • Index

Introduction to Smooth Ergodic Theory

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    £106.20

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    RRP £118.00 – you save £11.80 (10%)

    Order before 4pm tomorrow for delivery by Mon 22 Jun 2026.

    A Hardback by Luis Barreira, Yakov Pesin

    3 in stock


      View other formats and editions of Introduction to Smooth Ergodic Theory by Luis Barreira

      Publisher: MP-AMM American Mathematical
      Publication Date: 8/9/2023 12:00:00 AM
      ISBN13: 9781470470654, 978-1470470654
      ISBN10: 1470470659

      Description

      Book Synopsis
      Provides the first comprehensive introduction to smooth ergodic theory. The book first introduces the core of the theory and then discusses more advanced topics. It includes more than 80 exercises.

      Table of Contents
      • The core of the theory: Examples of hyperbolic dynamical systems
      • General theory of Lyapunov exponents
      • Cocylces over dynamical systems
      • The multiplicative ergodic theorem
      • Elements of the nonuniform hyperbolicity theory
      • Lyapunov stability theory of nonautonomous equations
      • Local manifold theory
      • Absolute continuity of local manifolds
      • Ergodic properties of smooth hyperbolic measures
      • Geodesic flows on surfaces of nonpositive curvature
      • Topological and ergodic properties of hyperbolic measures
      • Selected advanced topics: Cone techniques
      • Partially hyperbolic diffeomorphisms with nonzero exponents
      • More examples of dynamical systems with nonzero Lyapunov exponents
      • Anosov rigidity
      • $C^1$ pathological behavior: Pugh's example
      • Bibliography
      • Index

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