| Full text | |
| Author(s): |
Giulietti, P.
;
Lopes, A. O.
;
Pit, V.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Stochastics and Dynamics; v. 16, n. 3, p. 22-pg., 2016-06-01. |
| Abstract | |
We consider the classical dynamics given by a one-sided shift on the Bernoulli space of d symbols. We study, on the space of Holder functions, the eigendistributions of the Ruelle operator with a given potential. Our main theorem shows that for any isolated eigenvalue, the eigendistributions of such Ruelle operator are dual to eigenvectors of a Ruelle operator with a conjugate potential. We also show that the eigenfunctions and eigendistributions of the Koopman operator satisfy a similar relationship. To show such results we employ an integral kernel technique, where the kernel used is the involution kernel. (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 |