Zobrazeno 1 - 10
of 1 002
pro vyhledávání: '"A. Bezuglyi"'
Bratteli diagrams with countably infinite levels exhibit a new phenomenon: they can be horizontally stationary. The incidence matrices of these horizontally stationary Bratteli diagrams are infinite banded Toeplitz matrices. In this paper, we study t
Externí odkaz:
http://arxiv.org/abs/2409.10084
Publikováno v:
Фінансово-кредитна діяльність: проблеми теорії та практики, Vol 6, Iss 41 (2022)
Abstract. The COVID-19 pandemic caused an economic downturn, and business development strategies based on globalization and integration failed. So it is necessary to develop new organizational and economic mechanisms of strategic company management,
Externí odkaz:
https://doaj.org/article/a04b94b91c7f4b78a73de53bfb5d0208
Generalized Bratteli diagrams with a countable set of vertices in every level are models for aperiodic Borel automorphisms. This paper is devoted to the description of all ergodic probability tail invariant measures on the path spaces of generalized
Externí odkaz:
http://arxiv.org/abs/2404.14654
In 2010, Bezuglyi, Kwiatkowski, Medynets and Solomyak [Ergodic Theory Dynam. Systems 30 (2010), no.4, 973-1007] found a complete description of the set of probability ergodic tail invariant measures on the path space of a standard (classical) station
Externí odkaz:
http://arxiv.org/abs/2402.17046
The purpose of this paper is to present new classes of function systems as part of multiresolution analyses. Our approach is representation theoretic, and it makes use of generalized multiresolution function systems (MRSs). It further entails new ide
Externí odkaz:
http://arxiv.org/abs/2304.14558
Bratteli-Vershik models have been very successfully applied to the study of various dynamical systems, in particular, in Cantor dynamics. In this paper, we study dynamics on the path spaces of generalized Bratteli diagrams that form models for non-co
Externí odkaz:
http://arxiv.org/abs/2212.13803
The purpose of the paper is a general analysis of path space measures. Our focus is a certain path space analysis on generalized Bratteli diagrams. We use this in a systematic study of systems of self-similar measures (the term ``IFS measures'' is us
Externí odkaz:
http://arxiv.org/abs/2210.14059
We study substitutions on countably infinite alphabet (without compactification) as Borel dynamical systems. We construct stationary and non-stationary generalized Bratteli-Vershik models for a class of such substitutions, known as left determined. I
Externí odkaz:
http://arxiv.org/abs/2203.14127
Publikováno v:
In Advances in Applied Mathematics May 2024 156
We present recent advances in harmonic analysis on infinite graphs. Our approach combines combinatorial tools with new results from the theory of unbounded Hermitian operators in Hilbert space, geometry, boundary constructions, and spectral invariant
Externí odkaz:
http://arxiv.org/abs/2010.12442