Gibbs measures on negatively curved manifolds
type: Item
instance of: scholarly article
title: Gibbs measures on negatively curved manifolds
zbMATH Open document ID: 1020.37006
DOI: 10.1023/A:1022107301618
published in: Journal of Dynamical and Control Systems
publication date: 2003-06-18T00:00:00Z
review text: The paper contains a construction of a Gibbs measure on the unitary bundle of any connected complete manifold whose sectional curvatures are negative, bounded, and bounded away from 0. Additionally, ergodic properties of these measures are developed. In particular, with the added assumption that the manifold is geometrically finite, it is shown that there is an ergodic probability measure that is invariant under the geodesic flow and is fully supported on the flow's nonwandering set.
Mathematics Subject Classification ID: 37C40
Mathematics Subject Classification ID: 20H10
Mathematics Subject Classification ID: 53D25
Mathematics Subject Classification ID: 37D40
zbMATH DE Number: 1930208
zbMATH Keywords: ergodic theory
zbMATH Keywords: geodesic flow
zbMATH Keywords: Fuchsian group
zbMATH Keywords: Gibbs measure
author: Yves Coudène
reviewed by: Mike Hurley
MaRDI profile type: Publication
full work available at URL: a:1022107301618
OpenAlex ID: W2345930787
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description: scientific article; zbMATH DE number 1930208