Central limit theorem for the geodesic flow associated with a Kleinian group, case \(\delta>d/2\)

DOI10.1016/S0021-7824(00)01182-XzbMath0986.37009OpenAlexW2040423094MaRDI QIDQ5932260

Yves Le Jan, Jacques Franchi, Nathanaël Enriquez

Publication date: 4 December 2001

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-7824(00)01182-x

zbMATH Keywords

diffusion processgeodesic flowspectral gapcentral limit theoremhyperbolic manifold of volumePatterson-Sullivan measurestable foliation

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Diffusion processes (60J60) Diffusion processes and stochastic analysis on manifolds (58J65) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (5)

Random perturbation to the geodesic equation ⋮ Limits of random differential equations on manifolds ⋮ Asymptotic windings over the trefoil knot ⋮ Asymptotic laws for geodesic homology on hyperbolic manifolds with cusps ⋮ Rough homogenisation with fractional dynamics

This page was built for publication: Central limit theorem for the geodesic flow associated with a Kleinian group, case \(\delta>d/2\)