Convergence of dynamics and the Perron-Frobenius operator
- We complete the picture how the asymptotic behavior of a dynamical system is reflected by properties of the associated Perron-Frobenius operator. Our main result states that strong convergence of the powers of the Perron-Frobenius operator is equivalent to setwise convergence of the underlying dynamic in the measure algebra. This situation is furthermore characterized by uniform mixing-like properties of the system.
| Author details: | Moritz Reinhardt GerlachORCiDGND |
|---|---|
| DOI: | https://doi.org/10.1007/s11856-018-1671-7 |
| ISSN: | 0021-2172 |
| ISSN: | 1565-8511 |
| Title of parent work (English): | Israel Journal of Mathematics |
| Publisher: | Hebrew univ magnes press |
| Place of publishing: | Jerusalem |
| Publication type: | Article |
| Language: | English |
| Date of first publication: | 2018/04/11 |
| Publication year: | 2018 |
| Release date: | 2021/12/15 |
| Volume: | 225 |
| Issue: | 1 |
| Number of pages: | 13 |
| First page: | 451 |
| Last Page: | 463 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| DDC classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Peer review: | Referiert |
| Publishing method: | Open Access / Green Open-Access |
