Local properties of entropy for finite family of functions

In: Tatra Mountains Mathematical Publications, vol. 78, no. 1

Ryszard J. Pawlak

Details:

Year, pages: 2021, 43 - 58

Language: eng

Keywords:

entropy, semigroup, set of generators, entropy of I,II,III type, (periodic) dynamical system, $\mathcal{A}_{J}$-invariant set, $J$-entropy point ($J\in \{ {\rm I,II,III} \}$), s-chaotic set of generators.

Article type: Mathematics

Document type: scientific paper

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

Full text

About article:

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.

How to cite:

ISO 690:

Pawlak, R. 2021. Local properties of entropy for finite family of functions. In Tatra Mountains Mathematical Publications, vol. 78, no.1, pp. 43-58. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2021-0004

APA:

Pawlak, R. (2021). Local properties of entropy for finite family of functions. Tatra Mountains Mathematical Publications, 78(1), 43-58. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2021-0004

About edition:

Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava

Published: 14. 10. 2021

Rights:

https://creativecommons.org/licenses/by-nc-nd/4.0/