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This article is cited in 6 scientific papers (total in 6 papers)
On the rate of convergence in the individual ergodic theorem for the action of a semigroup
I. V. Podviginab a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Abstract:
We consider the individual ergodic theorem for the action of a semigroup of measure-preserving mappings. We estimate the rate of convergence using estimates for the probability of large deviations for the ergodic averages with an essentially bounded averaging function. We find estimates for the rate of convergence of the ergodic averages in the cases of Benedicks–Carleson quadratic mappings, expanding mappings of Pomeau–Manneville type with a neutral point, and multidimensional shifts.
Key words:
the rate of convergence in an ergodic theorem, large deviations, quadratic mapping, multidimensional shift.
Received: 13.11.2014
Citation:
I. V. Podvigin, “On the rate of convergence in the individual ergodic theorem for the action of a semigroup”, Mat. Tr., 18:2 (2015), 93–111; Siberian Adv. Math., 26:2 (2016), 139–151
Linking options:
https://www.mathnet.ru/eng/mt295 https://www.mathnet.ru/eng/mt/v18/i2/p93
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Abstract page: | 300 | Full-text PDF : | 107 | References: | 44 | First page: | 8 |
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