| Journal: | Proyecciones (Antofagasta) |
| Database: | PERIÓDICA |
| System number: | 000405883 |
| ISSN: | 0716-0917 |
| Authors: | Tiedra de Aldecoa, Rafael1 |
| Institutions: | 1Pontificia Universidad Católica de Chile, Facultad de Matemáticas, Santiago de Chile. Chile |
| Year: | 2017 |
| Season: | Mar |
| Volumen: | 36 |
| Number: | 1 |
| Pages: | 95-116 |
| Country: | Chile |
| Language: | Inglés |
| Document type: | Artículo |
| Approach: | Analítico |
| English abstract | We consider flows, called Wu flows, whose orbits are the unstable manifolds of a codimension one Anosov flow. Under some regularity assumptions, we give a short proof of the strong mixing property of Wu flows and we show that Wu flows have purely absolutely continuous spectrum in the orthocomplement of the constant functions. As an application, we obtain that time changes of the classical horocycle flows for compact surfaces of constant negative curvature have purely absolutely continuous spectrum in the orthocomplement of the constant functions for time changes in a regularity class slightly less than C2. This generalises recent results on time changes of horocycle flows |
| Disciplines: | Matemáticas |
| Keyword: | Matemáticas puras, Sistemas dinámicos, Geometría hiperbólica, Teoría ergódica, Teoremas ergódicos, Horociclos, Flujos, Teoría espectral, Campos vectoriales |
| Keyword: | Mathematics, Pure mathematics, Dynamic systems, Hyperbolic geometry, Ergodic theory, Ergodic theorems, Horocycles, Flows, Spectral theory, Vector fields |
| Full text: | Texto completo (Ver PDF) |
