Local Properties of Entropy for Finite Family of Functions

Pawlak, Ryszard J.

doi:10.2478/tmmp-2021-0004

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Local Properties of Entropy for Finite Family of Functions

Tatra Mountains Mathematical Publications

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

By: Ryszard J. Pawlak

Open Access

|Jan 2022

Abstract

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.

References

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DOI: https://doi.org/10.2478/tmmp-2021-0004 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195

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Language: English

Page range: 43 - 58

Submitted on: Oct 20, 2020

Published on: Jan 1, 2022

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

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

Related subjects:

Mathematics,

General mathematics

© 2022 Ryszard J. Pawlak, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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