The Library
Equilibrium states in negative curvature
Tools
Paulin, Frédéric, Pollicott, Mark and Schapira, Barbara (2015) Equilibrium states in negative curvature. Asterisque, 373 . doi:10.24033/ast.975 ISSN 0303-1179.
PDF
countgibbs%289%29.pdf - Accepted Version Embargoed item. Restricted access to Repository staff only - Requires a PDF viewer. Download (2032Kb) |
Official URL: https://doi.org/10.24033/ast.975
Abstract
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.
Item Type: | Journal Article | ||||||
---|---|---|---|---|---|---|---|
Alternative Title: | États d’équilibre en courbure négative | ||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Journal or Publication Title: | Asterisque | ||||||
Publisher: | Societe Mathematique de France | ||||||
Place of Publication: | Paris | ||||||
ISBN: | 9782856298183 | ||||||
ISSN: | 0303-1179 | ||||||
Book Title: | Astérisque | ||||||
Official Date: | 2015 | ||||||
Dates: |
|
||||||
Volume: | 373 | ||||||
Number of Pages: | 281 | ||||||
DOI: | 10.24033/ast.975 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||
Date of first compliant deposit: | 8 June 2016 | ||||||
Related URLs: |
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |