Topological entropy, sets of periods, and transitivity for circle maps

• Datum: 2024
• Hauptverfasser: Alsedà, Lluís, Bordignon, Liane, Groisman, Jorge
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2024
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/7659
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.9 Transitivity, the existence of periodic points, and positive topological entropy can be used to characterize complexity in dynamical systems. It is known that, for every graph that is not a tree and any $\varepsilon>0,$ there exist (complicated) totally transitive m...