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Preprints, Working Papers, ... Year : 2018

A stochastic approach to counting problems

Abstract

We study orbital functions associated to finitely generated Kleinian groups acting on the hyperbolic space $\mathbb{H}^3$, 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.

Dates and versions

hal-02373636 , version 1 (21-11-2019)

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Adrien Boulanger. A stochastic approach to counting problems. 2018. ⟨hal-02373636⟩
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