Equilibrium states in negative curvature
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Author
Contributions
- Pollicott, Mark, author - Contributor
- Schapira, Barbara, author - Contributor
- Société mathématique de France - Contributor
Publication
2015 - Société mathématique de France, Paris, France
Language
English
Word Count
70,250 words, Guess
Page Count
281 pages
Identifiers
- Open LibraryOL44534093M
- ISBN-139782856298183
- ISBN-102856298184
- OCLC Control Number932519690
- Library of Congress Control Number2015526707
Classifications
- LCCQA614.82 .P38 2015
- LCCQA613 .P385 2015
- LCCQA1 .A75 no. 373
Description
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.
Subjects
Topics
Series Statement
- Astérisque -- 373
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