C0-stability of topological entropy for contactomorphisms
Topological entropy is not lower semi-continuous: small perturbation of the dynamical system can lead to a collapse of entropy. In this note we show that for some special classes of dynamical systems (geodesic flows, Reeb flows, positive contactomorphisms) topological entropy at least is stable in t...
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
1 April 2021
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Communications in contemporary mathematics
Year: 2021, Jahrgang: 23, Heft: 06, Pages: 1-11 |
| ISSN: | 0219-1997 |
| DOI: | 10.1142/S0219199721500152 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1142/S0219199721500152 Verlag, lizenzpflichtig, Volltext: https://www.worldscientific.com/doi/abs/10.1142/S0219199721500152 
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| Verfasserangaben: | Lucas Dahinden |
| Zusammenfassung: | Topological entropy is not lower semi-continuous: small perturbation of the dynamical system can lead to a collapse of entropy. In this note we show that for some special classes of dynamical systems (geodesic flows, Reeb flows, positive contactomorphisms) topological entropy at least is stable in the sense that there exists a nontrivial continuous lower bound, given that a certain homological invariant grows exponentially. |
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| Beschreibung: | Im Titel ist "0" hochgestellt Gesehen am 09.09.2021 |
| Beschreibung: | Online Resource |
| ISSN: | 0219-1997 |
| DOI: | 10.1142/S0219199721500152 |