A stochastic approach to counting problems
Abstract
We study orbital functions associated to finitely generated geometrically infinite Kleinian groups acting on the hyperbolic space H3, developing a new method based on the use of the Brownian motion. On the way, we give some estimates of the orbital function associated to nilpotent covers of compact hyperbolic manifolds, partially answering a question asked by M. Pollicott to the author.
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