A dimension associated with a cutting of the square of a Gibbs measure

Mounir Khelifi

Chaos, Solitons & Fractals, 2014, vol. 65, issue C, 1-4

Abstract: Given a compact Riemann manifold M. let F:M→M 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 ∑r1×∑r2 with 2⩽r1Date: 2014
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077914000459
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:65:y:2014:i:c:p:1-4

DOI: 10.1016/j.chaos.2014.03.004

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().