Ergodicity and mixing via Young measures

Artstein, Z. and Grinfeld, M. (2002) Ergodicity and mixing via Young measures. Ergodic Theory and Dynamical Systems, 22 (4). pp. 1001-1015. ISSN 0143-3857 (http://dx.doi.org/10.1017/S0143385702000731)

Abstract

Connections are established between mixing or ergodic properties of maps on the one hand, and the convergence of the iterates of the map, or of the empirical measures of the iterates, to a constant measure-valued map, on the other. The uniqueness of an absolutely continuous ergodic measure can also be verified via the convergence. The technique helps to identify ergodic and mixing pairs and verify the uniqueness in specific examples.

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• Item metadata

  Item type:	Article
  ID code:	2055
  Dates:	Date Event 2002 Published
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Strathprints Administrator
  Date deposited:	14 Jan 2007
  Last modified:	08 Apr 2024 15:21
  URI:	https://strathprints.strath.ac.uk/id/eprint/2055