Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1895506 | Chaos, Solitons & Fractals | 2014 | 4 Pages |
Abstract
Given a compact Riemann manifold M. let F:MâM be a diffeomorphism and let μ be an F invariant ergodic measure. In [6] (Ledrappier and Young, 1985), Ledrappier and Young have proved that μ is exact dimensional. We propose to give a direct proof of this result when μ is a Gibbs measure, defined on a symbolic space product âr1Ãâr2 with 2⩽r1
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Mounir Khelifi,