A local ergodic theorem for non-uniformly hyperbolic symplectic maps with singularities

In this paper, we prove a criterion for the local ergodicity of non-uniformly hyperbolic symplectic maps with singularities. Our result is an extension of a theorem of Liverani and Wojtkowski.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Ergodic theory and dynamical systems 2013-08, Vol.33 (4), p.983-1007
Hauptverfasser: DEL MAGNO, GIANLUIGI, MARKARIAN, ROBERTO
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In this paper, we prove a criterion for the local ergodicity of non-uniformly hyperbolic symplectic maps with singularities. Our result is an extension of a theorem of Liverani and Wojtkowski.
ISSN:0143-3857
1469-4417
DOI:10.1017/S0143385712000284