|
This article is cited in 4 scientific papers (total in 4 papers)
Brief communications
On a Scaling Entropy Sequence of a Dynamical System
P. B. Zatitskiiab a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
b Chebyshev Laboratory, St. Petersburg State University, Department of Mathematics and Mechanics
Abstract:
We present a series of statements about scaling entropy, a metric invariant of dynamical systems proposed by A. M. Vershik in the late 1990s. We show that this is indeed a metric invariant and calculate it in several special cases.
Keywords:
metric invariants, entropy, scaling sequence, $\varepsilon$-entropy.
Received: 01.09.2014
Citation:
P. B. Zatitskii, “On a Scaling Entropy Sequence of a Dynamical System”, Funktsional. Anal. i Prilozhen., 48:4 (2014), 70–74; Funct. Anal. Appl., 48:4 (2014), 291–294
Linking options:
https://www.mathnet.ru/eng/faa3165https://doi.org/10.4213/faa3165 https://www.mathnet.ru/eng/faa/v48/i4/p70
|
Statistics & downloads: |
Abstract page: | 439 | Full-text PDF : | 181 | References: | 77 | First page: | 15 |
|