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math.DS2024
On a complex-analytic approach to stationary measures on with respect to the action of
Petr Kosenko
We provide a complex-analytic approach to the classification of stationary probability measures on with respect to the action of on the unit circle via Möbius tran…
math.DS2020★ 1 cited
The fundamental inequality for cocompact Fuchsian groups
Petr Kosenko, Giulio Tiozzo
We prove that the hitting measure is singular with respect to Lebesgue measure for any random walk on a cocompact Fuchsian group generated by translations joining opposite sides of…