Petr Kosenko

collaborators

4 papers

math.DS2020

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…

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.

math.FA2019

Homological dimensions of smooth crossed products

Petr Kosenko

In this paper we provide upper estimates for the global projective dimensions of smooth crossed products $S (G, A; α)$ for $G = R$ and $G = T$ and a self…

math.NT2019

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 $n > 1$ and $c_{0} = 1$ . This sequence…