Polynomial Entropy of Induced Maps of Circle and Interval Homeomorphisms

Polynomial Entropy of Induced Maps of Circle and Interval Homeomorphisms

We compute the polynomial entropy of the induced maps on hyperspace for a homeomorphism f of an interval or a circle with finitely many non-wandering points. Also, we give a generalization for the case of an interval homeomorphism with an infinite non-wandering set.

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Veröffentlicht in:Qualitative theory of dynamical systems 2023-09, Vol.22 (3), Article 103
Hauptverfasser: Ɖorić, Maša, Katić, Jelena
Format: Artikel
Sprache:eng
Schlagworte:
Difference and Functional Equations
Dynamical Systems and Ergodic Theory
Entropy
Hyperspaces
Mathematics
Mathematics and Statistics
Polynomials
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Beschreibung
Zusammenfassung:We compute the polynomial entropy of the induced maps on hyperspace for a homeomorphism f of an interval or a circle with finitely many non-wandering points. Also, we give a generalization for the case of an interval homeomorphism with an infinite non-wandering set.
ISSN:1575-5460
1662-3592
DOI:10.1007/s12346-023-00806-y