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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 for and 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 and . This sequence…