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...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
1 April 2021
|
| In: |
Communications in contemporary mathematics
Year: 2021, Volume: 23, Issue: 06, Pages: 1-11 |
| ISSN: | 0219-1997 |
| DOI: | 10.1142/S0219199721500152 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1142/S0219199721500152 Verlag, lizenzpflichtig, Volltext: https://www.worldscientific.com/doi/abs/10.1142/S0219199721500152 
|
| Author Notes: | Lucas Dahinden |
| Summary: | 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. |
|---|---|
| Item Description: | Im Titel ist "0" hochgestellt Gesehen am 09.09.2021 |
| Physical Description: | Online Resource |
| ISSN: | 0219-1997 |
| DOI: | 10.1142/S0219199721500152 |