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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 436, Pages 136–166
(Mi znsl6164)
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This article is cited in 8 scientific papers (total in 8 papers)
On the possible growth rate of a scaling entropy sequence
P. B. Zatitskiyab a Chebyshev Laboratory, St. Petersburg State University, Department of Mathematics and Mechanics, St. Petersburg, Russia
b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
Abstract:
We define a scaling entropy sequence of a group action and give a family of examples that exhaust all possible growth rates of entropy scaling sequences for actions of the groups $\mathbb Z$ and $\oplus\mathbb Z_2$.
Key words and phrases:
dynamical system, entropy, scaling sequence.
Received: 15.09.2015
Citation:
P. B. Zatitskiy, “On the possible growth rate of a scaling entropy sequence”, Representation theory, dynamical systems, combinatorial methods. Part XXV, Zap. Nauchn. Sem. POMI, 436, POMI, St. Petersburg, 2015, 136–166; J. Math. Sci. (N. Y.), 215:6 (2016), 715–733
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https://www.mathnet.ru/eng/znsl6164 https://www.mathnet.ru/eng/znsl/v436/p136
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Abstract page: | 243 | Full-text PDF : | 48 | References: | 39 |
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