SRB MEASURES FOR C ∞ SURFACE DIFFEOMORPHISMS
Résumé
A C ∞ surface diffeomorphism admits a SRB measure if and only if the set {x, lim sup n 1 n log dxf n > 0} has positive Lebesgue measure. Moreover the basins of the ergodic SRB measures are covering this set Lebesgue almost everywhere.
Domaines
Systèmes dynamiques [math.DS]Origine | Fichiers produits par l'(les) auteur(s) |
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