Email this article On The Possible Growth Rate of a Scaling Entropy Sequence
- Authors: Zatitskiy P.B.1,2
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Affiliations:
- Chebyshev Laboratory, St.Petersburg State University
- St.Petersburg Department of Steklov Mathematical Institute
- Issue: Vol 215, No 6 (2016)
- Pages: 715-733
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/237713
- DOI: https://doi.org/10.1007/s10958-016-2877-z
- ID: 237713
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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 ℤ and ⊕ℤ2.
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About the authors
P. B. Zatitskiy
Chebyshev Laboratory, St.Petersburg State University; St.Petersburg Department of Steklov Mathematical Institute
Author for correspondence.
Email: paxa239@yandex.ru
Russian Federation, St.Petersburg
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