|
This article is cited in 33 scientific papers (total in 33 papers)
Averaging and invariant measures
D. I. Dolgopyat University of Maryland
Abstract:
An important approach to establishing stochastic behavior of dynamical systems is based on the study of systems expanding a foliation and of measures having smooth densities along the leaves of this foliation. We review recent results on this subject and present some extensions and open questions.
Key words and phrases:
Averaging, Sinai–Ruelle–Bowen measures, partial hyperbolicity, decay of correlations.
Received: May 12, 2005; in revised form August 9, 2005
Citation:
D. I. Dolgopyat, “Averaging and invariant measures”, Mosc. Math. J., 5:3 (2005), 537–576
Linking options:
https://www.mathnet.ru/eng/mmj210 https://www.mathnet.ru/eng/mmj/v5/i3/p537
|
Statistics & downloads: |
Abstract page: | 309 | References: | 98 |
|