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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 432, Pages 224–260
(Mi znsl6119)
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This article is cited in 2 scientific papers (total in 2 papers)
Random deviations of ergodic sums for the Pascal adic transformation in the case of the Lebesgue measure
A. R. Minabutdinov National Research University "Higher School of Economics", St. Petersburg, Russia
Abstract:
The paper generalizes results by E. Janvresse, T. de la Rue, and Y. Velenik on fluctuations in ergodic sums for the Pascal adic transformation in the case of the Lebesgue measure for a wide class of functions. In particular, we answer several questions from the above-mentioned paper.
Key words and phrases:
Pascal adic transformation, ergodic theorem, self-affine function, Takagi–Blancmange function,.
Received: 16.01.2015
Citation:
A. R. Minabutdinov, “Random deviations of ergodic sums for the Pascal adic transformation in the case of the Lebesgue measure”, Representation theory, dynamical systems, combinatorial methods. Part XXIV, Zap. Nauchn. Sem. POMI, 432, POMI, St. Petersburg, 2015, 224–260; J. Math. Sci. (N. Y.), 209:6 (2015), 953–978
Linking options:
https://www.mathnet.ru/eng/znsl6119 https://www.mathnet.ru/eng/znsl/v432/p224
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Abstract page: | 171 | Full-text PDF : | 43 | References: | 30 |
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