Full groups, flip conjugacy, and orbit equivalence of Cantor minimal systems
S Bezuglyi, K Medynets - arXiv preprint math/0611173, 2006 - arxiv.org
In the paper, we consider the full group $[\phi] $ and topological full group $[[\phi]] $ of a
Cantor minimal system $(X,\f) $. We prove that the commutator subgroups $ D ([\f]) $ and $ D …
Cantor minimal system $(X,\f) $. We prove that the commutator subgroups $ D ([\f]) $ and $ D …
On the dimension group of unimodular -adic subshifts
Dimension groups are complete invariants of strong orbit equivalence for minimal Cantor
systems. This paper studies a natural family of minimal Cantor systems having a finitely …
systems. This paper studies a natural family of minimal Cantor systems having a finitely …
On algebraic properties of topological full groups
R Grigorchuk, K Medynets - arXiv preprint arXiv:1105.0719, 2011 - arxiv.org
In the paper we discuss the algebraic structure of topological full group $[[T]] $ of a Cantor
minimal system $(X, T) $. We show that the topological full group $[[T]] $ has the structure …
minimal system $(X, T) $. We show that the topological full group $[[T]] $ has the structure …
Bratteli diagrams: structure, measures, dynamics
S Bezuglyi, O Karpel - Dynamics and numbers, 2016 - books.google.com
This paper is a survey on general (simple and non-simple) Bratteli diagrams which focuses
on the following topics: finite and infinite tail invariant measures on the path space XB of a …
on the following topics: finite and infinite tail invariant measures on the path space XB of a …
Topologies on the group of Borel automorphisms of a standard Borel space
S Bezuglyi, AH Dooley, J Kwiatkowski - 2006 - projecteuclid.org
The paper is devoted to the study of topologies on the group \rmAut(X,\mathcalB) of all Borel
automorphisms of a standard Borel space (X,\mathcalB). Several topologies are introduced …
automorphisms of a standard Borel space (X,\mathcalB). Several topologies are introduced …
The Rokhlin lemma for homeomorphisms of a Cantor set
For a Cantor set $ X $, let $ Homeo (X) $ denote the group of all homeomorphisms of $ X $.
The main result of this note is the following theorem. Let $ T\in Homeo (X) $ be an aperiodic …
The main result of this note is the following theorem. Let $ T\in Homeo (X) $ be an aperiodic …
Subdiagrams and invariant measures on Bratteli diagrams
M Adamska, S Bezuglyi, O Karpel… - Ergodic Theory and …, 2017 - cambridge.org
We study ergodic finite and infinite measures defined on the path space is positive. For a
class of Bratteli diagrams of finite rank, we determine when they have maximal possible …
class of Bratteli diagrams of finite rank, we determine when they have maximal possible …
Measures on Cantor sets: the good, the ugly, the bad
S Bezuglyi, D Handelman - Transactions of the American Mathematical …, 2014 - ams.org
We translate Akin's notion of good (and related concepts) from measures on Cantor sets to
traces on dimension groups, and particularly for invariant measures of minimal …
traces on dimension groups, and particularly for invariant measures of minimal …
Topologies on the group of homeomorphisms of a Cantor set
S Bezuglyi, AH Dooley, J Kwiatkowski - 2006 - projecteuclid.org
Let \rmHomeo(Ω) be the group of all homeomorphisms of a Cantor set Ω. We study
topological properties of \rmHomeo(Ω) and its subsets with respect to the uniform (τ) and …
topological properties of \rmHomeo(Ω) and its subsets with respect to the uniform (τ) and …
[HTML][HTML] 基于二维康托尔二元群的小波变换
师东利， 李万社 - 2017 - fzgx.xpu.edu.cn
基于二维康托尔二元群的小波变换 Download PDF 引用本文 师东利, 李万社. 基于二维康托尔二
元群的小波变换[J]. 纺织高校基础科学学报, 2017, 30(3): 311-317. SHI Dongli, LI Wanshe. The …
元群的小波变换[J]. 纺织高校基础科学学报, 2017, 30(3): 311-317. SHI Dongli, LI Wanshe. The …