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Equilibrium States In Negative Curvature Frederic Paulin Mark Pollicott

  • SKU: BELL-5855610
Equilibrium States In Negative Curvature Frederic Paulin Mark Pollicott
$ 31.00 $ 45.00 (-31%)

4.4

12 reviews

Equilibrium States In Negative Curvature Frederic Paulin Mark Pollicott instant download after payment.

Publisher: Societe Mathematique De France
File Extension: PDF
File size: 3.17 MB
Pages: 289
Author: Frederic Paulin, Mark Pollicott, Barbara Schapira
ISBN: 9782856298183, 2856298184
Language: English
Year: 2015

Product desciption

Equilibrium States In Negative Curvature Frederic Paulin Mark Pollicott by Frederic Paulin, Mark Pollicott, Barbara Schapira 9782856298183, 2856298184 instant download after payment.

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.

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