Szczegóły publikacji

Opis bibliograficzny

Double minimality, entropy and disjointness with all minimal systems / Piotr OPROCHA // Discrete and Continuous Dynamical Systems. Series A ; ISSN 1078-0947. — 2019 — vol. 39 iss. 1, s. 263–275. — Bibliogr. s. 275, Abstr. — Dod. afiliacja Autora: University of Ostrava. Institute for Research and Applications of Fuzzy Modeling

Autor

Słowa kluczowe

minimal setIP-setdoubly minimaldisjointweak mixing

Dane bibliometryczne

ID BaDAP119619
Data dodania do BaDAP2019-03-25
DOI10.3934/dcds.2019011
Rok publikacji2019
Typ publikacjiartykuł w czasopiśmie
Otwarty dostęptak
Czasopismo/seriaDiscrete and Continuous Dynamical Systems, Series A

Abstract

Using proposed approach we construct a transitive dynamical system (X, T) disjoint with every minimal system and such that the set of transfer times N(x, U) is not an IP*-set for some nonempty open set U subset of X and every x is an element of X. This example shows that the new condition sharpens sufficient conditions for disjointness below previous bounds. In particular our approach does not rely on distality of points or sets.

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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