A stochastic approach to counting problems

2018/11/07 by Boulanger, Adrien
#Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1811.02899

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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