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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 266, Pages 13–28
(Mi znsl1236)
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This article is cited in 1 scientific paper (total in 1 paper)
Skew products and ergodic theorems for group actions
A. I. Bufetov Independent University of Moscow
Abstract:
We obtain new ergodic theorems for an action of the free semi-group on a probability space by measure-preserving maps. Our method consists in associating with the original semi-group action a skew product over
the shift on the space of infinite one-sided sequences of generators of the semi-group, and then integrating Birkhoff–Khinchin ergodic theorems along the base of the skew product.
Received: 10.10.1999
Citation:
A. I. Bufetov, “Skew products and ergodic theorems for group actions”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part V, Zap. Nauchn. Sem. POMI, 266, POMI, St. Petersburg, 2000, 13–28; J. Math. Sci. (N. Y.), 113:4 (2003), 548–557
Linking options:
https://www.mathnet.ru/eng/znsl1236 https://www.mathnet.ru/eng/znsl/v266/p13
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Abstract page: | 299 | Full-text PDF : | 103 |
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