Ergodicity and mixing via Young measures

Z. Artstein; M. Grinfeld

doi:10.1017/S0143385702000731

Ergodicity and mixing via Young measures

Z. Artstein, M. Grinfeld

Mathematics And Statistics

Research output: Contribution to journal › Article

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.

Language	English
Pages	1001-1015
Number of pages	14
Journal	Ergodic Theory and Dynamical Systems
Volume	22
Issue number	4
DOIs	10.1017/S0143385702000731
Publication status	Published - 2002

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Young Measures

Ergodicity

Iterate

Uniqueness

Empirical Measures

Ergodic Measure

Absolutely Continuous

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Keywords

ergodic theory
dynamic systems
applied mathematics

Cite this

Artstein, Z., & Grinfeld, M. (2002). Ergodicity and mixing via Young measures. Ergodic Theory and Dynamical Systems, 22(4), 1001-1015. https://doi.org/10.1017/S0143385702000731

Artstein, Z. ; Grinfeld, M. / Ergodicity and mixing via Young measures. In: Ergodic Theory and Dynamical Systems. 2002 ; Vol. 22, No. 4. pp. 1001-1015.

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Artstein, Z & Grinfeld, M 2002, 'Ergodicity and mixing via Young measures' Ergodic Theory and Dynamical Systems, vol. 22, no. 4, pp. 1001-1015. https://doi.org/10.1017/S0143385702000731

Ergodicity and mixing via Young measures. / Artstein, Z.; Grinfeld, M.

In: Ergodic Theory and Dynamical Systems, Vol. 22, No. 4, 2002, p. 1001-1015.

Research output: Contribution to journal › Article

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