The Franks-Misiurewicz conjecture for extensions of irrational rotations
| Autor: | Andres Koropecki, Alejandro Passeggi, Martín Sambarino |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Pure mathematics
Mathematics::Dynamical Systems Conjecture General Mathematics Dynamical Systems (math.DS) 37E45 37E30 Identity (music) Homeomorphism Irrational rotation Set (abstract data type) Irrational number FOS: Mathematics Mathematics - Dynamical Systems Single point Rotation (mathematics) Mathematics |
| Zdroj: | Annales scientifiques de l'École Normale Supérieure. 54:1035-1049 |
| ISSN: | 1873-2151 0012-9593 |
| DOI: | 10.24033/asens.2476 |
| Popis: | We show that a toral homeomorphism which is homotopic to the identity and topologically semiconjugate to an irrational rotation of the circle is always a pseudo-rotation (i.e. its rotation set is a single point). In combination with recent results, this allows us to complete the study of the Franks-Misiurewicz conjecture in the minimal case. Comment: 13 pages |
| Databáze: | OpenAIRE |
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