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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive
Funktsional. Anal. i Prilozhen., 2014 Volume 48, Issue 4, Pages 70–74 (Mi faa3165)
This article is cited 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.

UDC: 517.987.5

Received: 01.09.2014

DOI: 10.4213/faa3165


 English version: Functional Analysis and Its Applications, 2014, 48:4, 291–294

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