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Local Properties of Entropy for Finite Family of Functions

Ryszard J. Pawlak

Pawlak, Ryszard J.

Jan 01, 2022

Local Properties of Entropy for Finite Family of Functions's Cover Image

Tatra Mountains Mathematical Publications

Volume 78 (2021): Issue 1 (October 2021)

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Published Online: Jan 01, 2022

Page range: 43 - 58

Received: Oct 20, 2020

DOI: https://doi.org/10.2478/tmmp-2021-0004

Keywords
entropy, semigroup, set of generators, entropy of I, II, III type, (periodic) dynamical system, -invariant set, -entropy point ( ∈ {I, II, III}), s-chaotic set of generators

© 2021 Mathematical Institute, Slovak Academy of Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

In this paper we consider the issues of local entropy for a finite family of generators (that generates the semigroup). Our main aim is to show that any continuous function can be approximated by s-chaotic family of generators.

Language:: English

Publication timeframe:: 3 times per year
Journal Subjects:: Mathematics, General Mathematics

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