Spectral properties of Ruelle transfer operators for regular Gibbs measures and decay of correlations for contact Anosov flows
In this work we study strong spectral properties of Ruelle transfer operators related to a large family of Gibbs measures for contact Anosov flows. The ultimate aim is to establish exponential decay of correlations for Hölder observables with respect to a very general class of Gibbs measures. The ap...
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Auteur principal : | |
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Format : | Livre |
Langue : | anglais |
Titre complet : | Spectral properties of Ruelle transfer operators for regular Gibbs measures and decay of correlations for contact Anosov flows / Luchezar Stoyanov |
Publié : |
Providence, RI :
AMS, American Mathematical Society
, 2023 |
Description matérielle : | 1 vol. (V-121 p.) |
Collection : | Memoirs of the American Mathematical Society ; number 1404 |
Contenu : | Chapter 1. Introducation and results. Chapter 2. Preliminaries. Chapter 3. Lyapunov exponents and Lyapunov regularity functions. Chapter 4. Non-integrability of contact Anosov flows. Chapter 5. Main estimates for temporal distances. Chapter 6. Contraction operators. Chapter 7. L1 contraction estimates. Chapter 8. Proofs of the main result. Chapter 9. Temporal distance estimates on cylinders. Chapter 10. Regular distortion for Anosov flows. Appendix A. Proofs of some technical lemmas. Bibliography. Index. List of symbols |
Documents associés : | Autre format:
Spectral properties of Ruelle transfer operators for regular Gibbs measures and decay of correlations for contact Anosov flows |
Bib. CRDM (Mathématiques)
| Cote | Prêt | Statut |
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Bibliothèque | Mem/1404 | Prêt sans prolongation | Disponible |