Equidistribution of closed geodesics along random walk trajectories with respect to the harmonic invariant measure
classification
🧮 math.DS
keywords
invariantmeasurerandomrespectalongbundleclosedelements
read the original abstract
We prove that for suitable random walks on isometry groups of $CAT(-1)$ spaces, typical sample paths eventually land on loxodromic elements which equidistribute with respect to a flow invariant measure on the unit tangent bundle of the quotient space.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.