On scaling entropy sequence of dynamical system

2014/09/22 by Pavel B. Zatitskiy, P. B. Zatitskiy, Zatitskiy, P. B.
Engineering · Mathematics · Physics and Astronomy · #37A35 #Artificial Immune Systems Applications #Chaos control and synchronization #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #math.DS #msc:37A35

paper · pdf · doi:10.48550/arxiv.1409.6134

arxiv created 2014/09/22 · openalex publication_date 2014/09/22 · arxiv updated 2014/09/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a series of statements about scaling entropy, a metric invariant of dynamical systems proposed by A. M. Vershik in the late 90's. We show that it is a metric invariant indeed and calculate it in several special cases.

Citations

• Dynamics of metrics in measure spaces and their asymptotic invariants

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