| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Fed Rio de Janeiro, Inst Matemat, Ctr Tecnol, Av Athos da Silveira Ramos 149, Bloco C, Rio de Janeiro, RJ - Brazil
[2] Univ Rennes, CNRS, IRMAR UMR 6625, F-35000 Rennes - France
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | ANNALES DE L INSTITUT FOURIER; v. 68, n. 2, p. 457-510, 2018. |
| Web of Science Citations: | 1 |
| Abstract | |
We characterize the finiteness of Gibbs measures for geodesic flows on negatively curved manifolds by several criteria, analogous to those proposed by Sarig for symbolic dynamical systems over an infinite alphabet. These criteria should be useful in the future to find more examples with finite Gibbs measures. As an application, we recover Dal'bo-Otal-Peigne criterion of finiteness for the Bowen-Margulis measure on geometrically finite hyperbolic manifolds, as well as Peigne's examples of geometrically infinite manifolds having a finite Bowen-Margulis measure. (AU) | |
| FAPESP's process: | 11/12338-0 - Bowen-Series transform and thermodynamic formalism for hyperbolic surfaces of finite volume |
| Grantee: | Vincent Pit |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |