Szczegóły publikacji
Opis bibliograficzny
On entropy of $\Phi$-irregular and $\Phi$-level sets in maps with the shadowing property / Magdalena Foryś-Krawiec, Jiří Kupka, Piotr OPROCHA, Xueting Tian // Discrete and Continuous Dynamical Systems. Series A ; ISSN 1078-0947. — 2021 — vol. 41 no. 3, s. 1271–1296. — Bibliogr. s. 1295–1296, Abstr. — M. Foryś-Krawiec - afiliacja: National Supercomputing Centre IT4Innovations, Division of the University of Ostrava, Institute for Research and Applications of Fuzzy Modeling, Ostrava, Czech Republic. — P. Oprocha - pierwsza afiliacja: National Supercomputing Centre IT4Innovations, Division of the University of Ostrava, Institute for Research and Applications of Fuzzy Modeling, Ostrava, Czech Republic
Autorzy (4)
- Foryś-Krawiec Magdalena
- Kupka Jiří
- AGHOprocha Piotr
- Tian Xueting
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 132259 |
|---|---|
| Data dodania do BaDAP | 2021-01-27 |
| Tekst źródłowy | URL |
| DOI | 10.3934/dcds.2020317 |
| Rok publikacji | 2021 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | Discrete and Continuous Dynamical Systems, Series A |
Abstract
We study the properties of Φ-irregular sets (sets of points for which the Birkhoff average diverges) in dynamical systems with the shadowing property. We estimate the topological entropy of Φ-irregular set in terms of entropy on chain recurrent classes and prove that Φ-irregular sets of full entropy are typical. We also consider Φ-level sets (sets of points whose Birkhoff average is in a specified interval), relating entropy they carry with the entropy of some ergodic measures. Finally, we study the problem of large deviations considering the level sets with respect to reference measures. © 2021 American Institute of Mathematical Sciences. All rights reserved.
