Journal of Dynamical and Control Systems

, Volume 9, Issue 3, pp 449–453 | Cite as

On New Forms of the Ergodic Theorem

  • V. V. Kozlov
  • D. V. Treschev
Article

Abstract

We present generalizations of the classical Birkhoff and von Neumann ergodic theorems, where the time average is replaced by a more general average, including some density.

ergodic theorems summation methods 

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Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • V. V. Kozlov
    • 1
  • D. V. Treschev
    • 1
  1. 1.Department of Mechanics and MathematicsMoscow State University, Leninskie GoryMoscowRussia

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