The central limit theorem for geodesic flows onn-dimensional manifolds of negative curvature |
| |
Authors: | M Ratner |
| |
Institution: | (1) Institute of mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel |
| |
Abstract: | In this paper we prove a central limit theorem for special flows built over shifts which satisfy a uniform mixing of type
, 0<γ<1, α>0. The function defining the special flow is assumed to be continuous with modulus of continuity of type
, 0<ρ<1, β>0, andd is the natural metric on sequence space. Geodesic flows on compact manifolds of negative curvature are isomorphic to special
flows of this kind. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|