1 citations · 1 across the 6 of their papers we have counts for
9 papers
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 , . In the plane, the set of translations placing a prescribed finite co…
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…
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…
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…
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.
Homological dimensions of smooth crossed products
Petr Kosenko
In this paper we provide upper estimates for the global projective dimensions of smooth crossed products for and and a self…
Orthorecursive expansion of unity
Alexander Kalmynin, Petr Kosenko
We study the properties of a sequence cn defined by the recursive relation \[\frac{c_0}{n + 1}+\frac{c_1}{n + 2}+\ldots+\frac{c_n}{2n + 1}=0\] for and . This sequence…
The Arens-Michael envelopes of Laurent Ore extensions
Petr Kosenko
For an Arens-Michael algebra we consider a class of --bimodules which are invertible with respect to the projective bimodule tensor product. We call such bimo…
Homological dimensions of analytic Ore extensions
Petr Kosenko
If is an algebra with finite right global dimension, then for any automorphism and -derivation the right global dimension of satisfies \[ \text{rgld} \,…