We show that in a rapidly mixing flow with an invariant measure, the time which is needed to hit a given section is related to a sort of conditional dimension of the measure at the section. The result is applied to the geodesic flow of compact manifolds with variable negative sectional curvature, establishing a logarithm law for such kind of flow.
|Autori interni:||GALATOLO, STEFANO|
|Autori:||GALATOLO S; ISAIA NISOLI|
|Titolo:||Shrinking targets in fast mixing flows and the geodesic flow on negatively curved manifolds|
|Anno del prodotto:||2011|
|Digital Object Identifier (DOI):||10.1088/0951-7715/24/11/005|
|Appare nelle tipologie:||1.1 Articolo in rivista|