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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 437, Pages 145–183
(Mi znsl6177)
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This article is cited in 4 scientific papers (total in 4 papers)
Limiting curves for the Pascal adic transformation
A. A. Lodkina, A. R. Minabutdinovb a St. Petersburg State University, St. Petersburg, Russia
b National Research University "Higher School of Economics", St. Petersburg, Russia
Abstract:
The paper generalizes the results by E. Janvresse, T. de la Rue, and Y. Velenik on fluctuations in ergodic sums for the Pascal adic transformation to the case of an arbitrary ergodic invariant measure and cylinder
functions.
Key words and phrases:
Pascal-adic transformation, ergodic theorem, Takagi function, Krawtchouk polynomials.
Received: 12.10.2015
Citation:
A. A. Lodkin, A. R. Minabutdinov, “Limiting curves for the Pascal adic transformation”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XXVI. Representation theory, dynamical systems, combinatorial methods, Zap. Nauchn. Sem. POMI, 437, POMI, St. Petersburg, 2015, 145–183; J. Math. Sci. (N. Y.), 216:1 (2016), 94–119
Linking options:
https://www.mathnet.ru/eng/znsl6177 https://www.mathnet.ru/eng/znsl/v437/p145
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Abstract page: | 282 | Full-text PDF : | 65 | References: | 66 |
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