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 |
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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 |