Effects of randomization on asymptotic periodicity of nonsingular transformations
It is known that the Perron--Frobenius operators of piecewise expanding $\mathcal{C}^2$ transformations possess an asymptotic periodicity of densities. On the other hand, external noise or measurement errors are unavoidable in practical systems; therefore, all realistic mathematical models should be...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | It is known that the Perron--Frobenius operators of piecewise expanding
$\mathcal{C}^2$ transformations possess an asymptotic periodicity of densities.
On the other hand, external noise or measurement errors are unavoidable in
practical systems; therefore, all realistic mathematical models should be
regarded as random iterations of transformations. This paper aims to discuss
the effects of randomization on the asymptotic periodicity of densities. |
|---|---|
| DOI: | 10.48550/arxiv.1409.3649 |