Central limit theorem of Brownian motions in pinched negative curvature

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چکیده

We prove the central limit theorem of random variables induced by distances to Brownian paths and Green functions on universal cover Riemannian manifolds finite volume with pinched negative curvature. further provide some ergodic properties motions an application dynamics geodesic flows in

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ژورنال

عنوان ژورنال: Ergodic Theory and Dynamical Systems

سال: 2021

ISSN: ['0143-3857', '1469-4417']

DOI: https://doi.org/10.1017/etds.2021.46