Petr Kosenko

activity

20172026

most citedThe fundamental inequality for cocompact Fuchsian groups

1 citations · 1 across the 6 of their papers we have counts for

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math.PR2026

Point Configurations in Brownian Traces

P. Kosenko, J. M. Medina, A. Yavicoli

We study finite and countable point configurations in the trace of Brownian motion in $R^{d}$ , $d \geq 2$ . In the plane, the set of translations placing a prescribed finite co…

math.PR2023

Asymptotics of the first-passage function on free and Fuchsian groups

Petr Kosenko

In this preprint we derive explicit estimates for the asymptotics of the first-passage function for a specific class of random walks on free groups and use them to prove the singul…

math.PR2019

Fundamental inequality for hyperbolic Coxeter and Fuchsian groups equipped with geometric distances

Petr Kosenko

We prove that the hitting measure is not equivalent to the Lebesgue measure for a large class of nearest-neighbour random walks on hyperbolic reflection groups and Fuchsian groups.