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July, 1995 Central Limit Theorem in Negative Curvature
Francois Ledrappier
Ann. Probab. 23(3): 1219-1233 (July, 1995). DOI: 10.1214/aop/1176988181

Abstract

We prove a central limit theorem for the distance of the Brownian point on the universal cover of a compact negatively curved Riemannian manifold. The technical point is a contraction property for the leafwise Brownian motion along the stable foliation.

Citation

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Francois Ledrappier. "Central Limit Theorem in Negative Curvature." Ann. Probab. 23 (3) 1219 - 1233, July, 1995. https://doi.org/10.1214/aop/1176988181

Information

Published: July, 1995
First available in Project Euclid: 19 April 2007

zbMATH: 0839.58064
MathSciNet: MR1349169
Digital Object Identifier: 10.1214/aop/1176988181

Subjects:
Primary: 58G32
Secondary: 58F17 , 60J65

Keywords: central limit theorem , Foliated Brownian motion , negative curvature

Rights: Copyright © 1995 Institute of Mathematical Statistics

Vol.23 • No. 3 • July, 1995
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