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foliated brownian motion

Ergodic Theory and Dynamical Systems (1)

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1 results

Central limit theorem of Brownian motions in pinched negative curvature
Part of
- Partial differential equations on manifolds; differential operators
- Dynamical systems with hyperbolic behavior
JAELIN KIM
Journal:

Ergodic Theory and Dynamical Systems / Volume 42 / Issue 7 / July 2022

Published online by Cambridge University Press:

22 April 2021, pp. 2352-2381

Print publication:

July 2022
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We prove the central limit theorem of random variables induced by distances to Brownian paths and Green functions on the universal cover of Riemannian manifolds of finite volume with pinched negative curvature. We further provide some ergodic properties of Brownian motions and an application of the central limit theorem to the dynamics of geodesic flows in pinched negative curvature.