Astérisque, n° 373. Equilibrium states in negative curvature

Fiche technique

Format : Broché
Nb de pages : VIII-281 pages
Poids : 400 g
Dimensions : 18cm X 24cm
Date de parution :
ISBN : 978-2-85629-818-3
EAN : 9782856298183

Equilibrium states in negative curvature

de , ,

chez Société mathématique de France

Serie : Astérisque. Vol 373

Paru le | Broché VIII-281 pages

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Quatrième de couverture

With their origin in thermodynamics and symbolic dynamics, Gibbs measures are crucial tools to study the ergodic theory of the geodesic flow on negatively curved manifolds. We develop a framework (through Patterson-Sullivan densities) allowing us to get rid of compactness assumptions on the manifold, and prove many existence, uniqueness and finiteness results of Gibbs measures. We give many applications, to the Variational Principle, the counting and equidistribution of orbit points and periods, the unique ergodicity of the strong unstable foliation and the classification of Gibbs densities on some Riemannian covers.

Du même auteur : Frédéric Paulin