A Note on the Ergodic Theorem

• Maria Pires de Carvalho ; Fernando Jorge Moreira ^[1]
  1. [1] Universidade Do Porto

     Universidade Do Porto

     Santo Ildefonso, Portugal

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 13, Nº 2, 2014, págs. 253-268
• Idioma: inglés
• DOI: 10.1007/s12346-014-0116-x
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• Resumen

  • Given a space X, a σ-algebra B on X and a measurable map T : X → X, we say that a measure μ is half-invariant by T if, for any B ∈ B, we have μ T −1(B) ≤ μ(B). We will present a generalization of Birkhoff ergodic theorem to σ-finite half-invariant measures.