S. Bezuglyi

发表

Aperiodic substitution systems and their Bratteli diagrams

S. Bezuglyi, J. Kwiatkowski, K. Medynets, 2007, Ergodic Theory and Dynamical Systems.

Harmonic analysis on graphs via Bratteli diagrams and path-space measures

P. Jorgensen, S. Bezuglyi, 2020, Dissertationes Mathematicae.

Harmonic Analysis Invariants for Infinite Graphs Via Operators and Algorithms

P. Jorgensen, S. Bezuglyi, 2020, Journal of Fourier Analysis and Applications.

Topologies on the group of Borel automorphisms of a standard Borel space

S. Bezuglyi, J. Kwiatkowski, A. Dooley, 2004, math/0410506.

A ug 2 01 5 MONOPOLES , DIPOLES , AND HARMONIC FUNCTIONS ON BRATTELI

P. Jorgensen, S. Bezuglyi, 2015 .

Graph Laplace and Markov Operators on a Measure Space

P. Jorgensen, S. Bezuglyi, 2018, Linear Systems, Signal Processing and Hypercomplex Analysis.

Laplace operators in finite energy and dissipation spaces

P. Jorgensen, S. Bezuglyi, 2019, 1903.09572.

Infinite-dimensional transfer operators, endomorphisms, and measurable partitions

P. Jorgensen, S. Bezuglyi, 2017, 1702.02657.

Orders that yield homeomorphisms on Bratteli diagrams

S. Bezuglyi, R. Yassawi, 2017 .

Perfect Orderings on Finite Rank Bratteli Diagrams

S. Bezuglyi, J. Kwiatkowski, R. Yassawi, 2014, Canadian Journal of Mathematics.

Perfect orderings on Bratteli diagrams II: general Bratteli diagrams

S. Bezuglyi, R. Yassawi, 2013, 1306.1788.

Measures on Cantor sets: the good, the ugly, the bad

D. Handelman, S. Bezuglyi, 2012, 1201.1953.

Perfect orderings on Bratteli diagrams

S. Bezuglyi, J. Kwiatkowski, R. Yassawi, 2012, 1204.1621.

Invariant measures on stationary Bratteli diagrams

B. Solomyak, S. Bezuglyi, J. Kwiatkowski, 2008, Ergodic Theory and Dynamical Systems.

Monopoles, Dipoles, and Harmonic Functions on Bratteli Diagrams

P. Jorgensen, S. Bezuglyi, 2015, Acta Applicandae Mathematicae.

Piecewise Monotone Maps and the Gauss Endomorphism

P. Jorgensen, S. Bezuglyi, 2018 .

Invariant measures and generalized Bratteli diagrams for substitutions on infinite alphabets

P. Jorgensen, S. Bezuglyi, S. Sanadhya, 2022, 2203.14127.

Topologies on the group of Borel automorphisms of a standard Borel space

S. Bezuglyi, J. Kwiatkowski, A. Dooley, 2004, math/0410506.

Homeomorphic measures on stationary Bratteli diagrams

S. Bezuglyi, O. Karpel, 2010, 1008.0850.

Descriptive Set Theory and Dynamical Systems: Groups of Automorphisms of Measure Space and Weak Equivalence of Cocycles

S. Bezuglyi, 2000 .

Approximation in ergodic theory, Borel, and Cantor dynamics

S. Bezuglyi, J. Kwiatkowski, K. Medynets, 2005, math/0504490.

Dynamics on the path space of generalized Bratteli diagrams

P. Jorgensen, S. Bezuglyi, S. Sanadhya, 2022, 2212.13803.

Transfer Operators on Measure Spaces

P. Jorgensen, S. Bezuglyi, 2018 .

IFS measures on generalized Bratteli diagrams

P. Jorgensen, S. Bezuglyi, 2022, 2210.14059.

Monopoles, Dipoles, and Harmonic Functions on Bratteli Diagrams

P. Jorgensen, S. Bezuglyi, 2018, Acta Applicandae Mathematicae.

Topics in dynamics and ergodic theory

Sergey Bezuglyi, Sergiy Kolyada, S. Bezuglyi, 2003 .

Wold’s Theorem and Automorphic Factors of Endomorphisms

P. Jorgensen, S. Bezuglyi, 2018 .

OUTER CONJUGACY OF THE ACTIONS OF COUNTABLE AMENABLE GROUPS ON A MEASURE SPACE

V. Golodets, S. Bezuglyi, 1987 .

Exact number of ergodic invariant measures for Bratteli diagrams

S. Bezuglyi, J. Kwiatkowski, O. Karpel, 2017, Journal of Mathematical Analysis and Applications.

Finite rank Bratteli diagrams: Structure of invariant measures

Boris Solomyak, Konstantin Medynets, Sergey Bezuglyi, 2010, 1003.2816.

Invariant measures for Cantor dynamical systems

S. Bezuglyi, O. Karpel, 2019, Dynamics: Topology and Numbers.

Orbit equivalent substitution dynamical systems and complexity

S. Bezuglyi, O. Karpel, 2012, 1201.1622.

FULL GROUPS, FLIP CONJUGACY, AND ORBIT EQUIVALENCE OF CANTOR MINIMAL SYSTEMS

S. Bezuglyi, K. Medynets, 2006, math/0611173.

Cohomology of hyperfinite Borel actions

S. Bezuglyi, S. Sanadhya, 2020, Groups, Geometry, and Dynamics.

MEASURES AND GENERALIZED BRATTELI DIAGRAMS FOR DYNAMICS OF INFINITE ALPHABET-SUBSTITUTIONS

P. Jorgensen, S. Bezuglyi, S. Sanadhya, 2022 .

Markov operators generated by symmetric measures

P. Jorgensen, S. Bezuglyi, 2018, 1812.00081.

Topologies on the group of homeomorphisms of a Cantor set

S. Bezuglyi, J. Kwiatkowski, A. Dooley, 2004, math/0410507.

Measurable multiresolution systems, endomorphisms, and representations of Cuntz relations

P. Jorgensen, S. Bezuglyi, 2023, 2304.14558.

Harmonic Analysis Invariants for Infinite Graphs Via Operators and Algorithms

P. Jorgensen, S. Bezuglyi, 2021, Journal of Fourier Analysis and Applications.

New Hilbert Space Tools for Analysis of Graph Laplacians and Markov Processes

S. Bezuglyi, P. Jorgensen, 2023, Complex Analysis and Operator Theory.

C*-algebras of a Cantor system with finitely many minimal subsets: structures, K-theories, and the index map

SERGEY BEZUGLYI, ZHUANG NIU, WEI SUN, 2019, Ergodic Theory and Dynamical Systems.

Smooth automorphisms and path-connectedness in Borel dynamics

S. Bezuglyi, K. Medynets, 2004, math/0410504.

Symmetric Measures, Continuous Networks, and Dynamics

P. Jorgensen, S. Bezuglyi, 2021, New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative.

D ec 2 00 8 Invariant Measures on Stationary Bratteli Diagrams

S. Bezuglyi, K. Medynets, J. Kwiatkowski, 2008 .

The Rokhlin lemma for homeomorphisms of a Cantor set

S. Bezuglyi, K. Medynets, A. Dooley, 2004, math/0410505.

The topological full group of a Cantor minimal system is dense in the full group

S. Bezuglyi, J. Kwiatkowski, 2000 .

Transfer Operators, Endomorphisms, and Measurable Partitions

P. Jorgensen, S. Bezuglyi, 2018 .

Bratteli diagrams: structure, measures, dynamics

S. Bezuglyi, O. Karpel, 2015, 1503.03360.

Groups of measure space transformations and invariants of outer conjugation for automorphisms from normalizers of type III full groups

V. Golodets, S. Bezuglyi, 1985 .

Subdiagrams and invariant measures on Bratteli diagrams

S. Bezuglyi, J. Kwiatkowski, O. Karpel, 2015, Ergodic Theory and Dynamical Systems.

Institute for Mathematical Physics Finite Rank Bratteli Diagrams and Their Invariant Measures Finite Rank Bratteli Diagrams and Their Invariant Measures

B. Solomyak, S. Bezuglyi, J. Kwiatkowski, 2022 .

Measurable multiresolution systems, endomorphisms, and representations of Cuntz relations

P. Jorgensen, S. Bezuglyi, 2023, Quantum Studies: Mathematics and Foundations.

Representations of Cuntz-Krieger relations, dynamics on Bratteli diagrams, and path-space measures

P. Jorgensen, S. Bezuglyi, 2014, 1410.2318.