Computational Ergodic Theory

Ergodic theory is hard to study because it is based on measure theory, which is a technically difficult subject to master for ordinary students, especially for physics majors. Many of the examples are introduced from a different perspective than in other books and theoretical ideas can be gradually...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Choe, Geon Ho (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2005.
Edición:1st ed. 2005.
Colección:Algorithms and Computation in Mathematics ; 13
Temas:
Dynamical systems.
Mathematical physics.
Engineering mathematics.
Engineering-Data processing.
Dynamical Systems.
Theoretical, Mathematical and Computational Physics.
Mathematical and Computational Engineering Applications.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Prerequisites
  • Invariant Measures
  • The Birkhoff Ergodic Theorem
  • The Central Limit Theorem
  • More on Ergodicity
  • Homeomorphisms of the Circle
  • Mod 2 Uniform Distribution
  • Entropy
  • The Lyapunov Exponent: One-Dimensional Case
  • The Lyapunov Exponent: Multidimensional Case
  • Stable and Unstable Manifolds
  • Recurrence and Entropy
  • Recurrence and Dimension
  • Data Compression.

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