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Typical dynamics of volume preserving homeomorphisms /

This 2000 book provides a self-contained introduction to typical properties of homeomorphisms. Examples of properties of homeomorphisms considered include transitivity, chaos and ergodicity. A key idea here is the interrelation between typical properties of volume preserving homeomorphisms and typic...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Alpern, Steve, 1948-
Otros Autores: Prasad, V. S., 1950-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge ; New York : Cambridge University Press, 2000.
Colección:Cambridge tracts in mathematics ; 139.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Volume preserving homeomorphisms of the cube
  • Introduction to part I and II (compact manifolds)
  • Measure preserving homeomorphisms
  • Discrete approximations
  • Transitive homeomorphisms of In and Rn
  • Fixed points and area preservation
  • Measure preserving lusin theorem
  • Ergodic homeomorphisms
  • Uniform approximation in g[In, delta] and generic properties in M[In, delta]
  • Measure preserving homeomorphisms of a compact manifold
  • Measures on compact manifolds
  • Dynamics on compact manifolds
  • Oeasure preserving homeomorphisms of a noncompact manifold
  • Ergodic volume preserving homeomorphisms of Rn
  • Manifolds where ergodicity is not generic
  • Noncompact manifolds and ends
  • Ergodic homeomorphisms: the results
  • Ergodic homeomorphisms: proofs
  • Other properties typical in M[X, u].