Artem Dudko

collaborators

4 papers

math.FA2026

Towards a Theory of Dobrakov-Sobolev Spaces

Artem Yurievich Dudko

The aim of this paper is to introduce a generalization of Sobolev spaces based on the Dobrakov integral. More precisely, we consider the setting of Banach-valued functions and Fomi…

math.GR2026

Characters and $I I_{1}$ -Factor Representations of Full Groups of Cantor Minimal Systems

Artem Dudko, Constantine Medynets

Let $(X, T)$ be a Cantor minimal system, and let $Γ$ denote either its associated topological full group or the full group of a Bratteli diagram associated with $(X, T)$ . In this pap…

math.RT2025

Classification of indecomposable states on the infinite symmetric inverse semigroup invariant under the infinite symmetric group. Semifinite case

Artem Dudko, Nikolay I. Nessonov

Let $N$ be a set of the natural numbers. Symmetric inverse semigroup $R_{\infty}$ is the semigroup of all infinite 0-1 matrices $[g_{ij}]$ with at most one 1 in each row and…

math.DS2025

Irreducible Koopman representations for nonsingular actions on boundaries of rooted trees

Alexandre I. Danilenko, Artem Dudko

Let $G$ be a countable branch group of automorphisms of a spherically homogeneous rooted tree. Under some assumption on finitarity of $G$ , we construct, for each sequence $ω\in\{0,…

Towards a Theory of Dobrakov-Sobolev Spaces

Characters and II1​-Factor Representations of Full Groups of Cantor Minimal Systems

Classification of indecomposable states on the infinite symmetric inverse semigroup invariant under the infinite symmetric group. Semifinite case

Irreducible Koopman representations for nonsingular actions on boundaries of rooted trees

Characters and $I I_{1}$ -Factor Representations of Full Groups of Cantor Minimal Systems