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math.DS2026
Singularity of harmonic measures for hyperbolic lattices
Nikolay Bogachev
Let , , be a cocompact lattice containing a convex cocompact codimension-one subgroup in the sense of Sageev. We prove that every finitely sup…
math.DS2025
Random walks on cocompact Fuchsian and Kleinian groups
Nikolay Bogachev, Peter Kosenko, Giulio Tiozzo
The question of the singularity at infinity of the hitting measure of random walks has a long history, originating from the work of Furstenberg in the 1960s. In 2011, Kaimanovich a…