Sergey Bezuglyi

704 total citations
30 papers, 245 citations indexed

About

Sergey Bezuglyi is a scholar working on Mathematical Physics, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, Sergey Bezuglyi has authored 30 papers receiving a total of 245 indexed citations (citations by other indexed papers that have themselves been cited), including 26 papers in Mathematical Physics, 14 papers in Geometry and Topology and 11 papers in Computational Theory and Mathematics. Recurrent topics in Sergey Bezuglyi's work include Mathematical Dynamics and Fractals (17 papers), Advanced Operator Algebra Research (13 papers) and Advanced Topology and Set Theory (8 papers). Sergey Bezuglyi is often cited by papers focused on Mathematical Dynamics and Fractals (17 papers), Advanced Operator Algebra Research (13 papers) and Advanced Topology and Set Theory (8 papers). Sergey Bezuglyi collaborates with scholars based in Ukraine, United States and Poland. Sergey Bezuglyi's co-authors include Jan Kwiatkowski, Konstantin Medynets, V. Ya. Golodets, Boris Solomyak, A. H. Dooley, Palle E. T. Jørgensen, Wei Sun and Zhuang Niu and has published in prestigious journals such as Lecture notes in mathematics, Journal of Mathematical Analysis and Applications and Transactions of the American Mathematical Society.

In The Last Decade

Sergey Bezuglyi

27 papers receiving 225 citations

Peers

Sergey Bezuglyi
Sergey Bezuglyi
Citations per year, relative to Sergey Bezuglyi Sergey Bezuglyi (= 1×) peers Konstantin Medynets

Countries citing papers authored by Sergey Bezuglyi

Since Specialization
Citations

This map shows the geographic impact of Sergey Bezuglyi's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Sergey Bezuglyi with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Sergey Bezuglyi more than expected).

Fields of papers citing papers by Sergey Bezuglyi

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Sergey Bezuglyi. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Sergey Bezuglyi. The network helps show where Sergey Bezuglyi may publish in the future.

Co-authorship network of co-authors of Sergey Bezuglyi

This figure shows the co-authorship network connecting the top 25 collaborators of Sergey Bezuglyi. A scholar is included among the top collaborators of Sergey Bezuglyi based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Sergey Bezuglyi. Sergey Bezuglyi is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Bezuglyi, Sergey, et al.. (2024). Substitution-dynamics and invariant measures for infinite alphabet-path space. Advances in Applied Mathematics. 156. 102687–102687. 1 indexed citations
2.
Bezuglyi, Sergey, et al.. (2024). Invariant Measures for Reducible Generalized Bratteli Diagrams. 20(1). 3–24.
3.
Bezuglyi, Sergey & Palle E. T. Jørgensen. (2023). New Hilbert Space Tools for Analysis of Graph Laplacians and Markov Processes. Complex Analysis and Operator Theory. 17(7).
5.
Bezuglyi, Sergey & Palle E. T. Jørgensen. (2022). Harmonic analysis on graphs via Bratteli diagrams and path-space measures. 574. 1–74. 1 indexed citations
6.
Bezuglyi, Sergey, et al.. (2019). Exact number of ergodic invariant measures for Bratteli diagrams. Journal of Mathematical Analysis and Applications. 480(2). 123431–123431. 1 indexed citations
7.
Bezuglyi, Sergey, et al.. (2018). Transfer Operators, Endomorphisms, and Measurable Partitions. Lecture notes in mathematics. 6 indexed citations
8.
Bezuglyi, Sergey, et al.. (2016). Subdiagrams and invariant measures on Bratteli diagrams. Ergodic Theory and Dynamical Systems. 37(8). 2417–2452. 5 indexed citations
9.
Bezuglyi, Sergey, et al.. (2015). Subdiagrams of Bratteli Diagrams Supporting Finite Invariant Measures. The scientific electronic library of periodicals of the National Academy of Sciences of Ukraine (National Academy of Sciences of Ukraine). 11(1). 3–17. 2 indexed citations
10.
Bezuglyi, Sergey, et al.. (2011). Homeomorphic measures on stationary Bratteli diagrams. Journal of Functional Analysis. 261(12). 3519–3548. 5 indexed citations
11.
Bezuglyi, Sergey, Jan Kwiatkowski, & Konstantin Medynets. (2008). Aperiodic substitution systems and their Bratteli diagrams. Ergodic Theory and Dynamical Systems. 29(1). 37–72. 32 indexed citations
12.
Bezuglyi, Sergey, A. H. Dooley, & Jan Kwiatkowski. (2006). Topologies on the group of homeomorphisms of a Cantor set. Topological Methods in Nonlinear Analysis. 27(2). 299–331. 7 indexed citations
13.
Bezuglyi, Sergey, A. H. Dooley, & Jan Kwiatkowski. (2006). Topologies on the group of Borel automorphisms of a standard Borel space. Topological Methods in Nonlinear Analysis. 27(2). 333–385. 6 indexed citations
14.
Bezuglyi, Sergey, A. H. Dooley, & Konstantin Medynets. (2005). The Rokhlin lemma for homeomorphisms of a Cantor set. Proceedings of the American Mathematical Society. 133(10). 2957–2964. 11 indexed citations
15.
Bezuglyi, Sergey & Konstantin Medynets. (2004). Smooth automorphisms and path-connectedness in Borel dynamics. Indagationes Mathematicae. 15(4). 453–468. 2 indexed citations
16.
Bezuglyi, Sergey, et al.. (2003). Topics in Dynamics and Ergodic Theory. Cambridge University Press eBooks. 39 indexed citations
17.
Bezuglyi, Sergey & V. Ya. Golodets. (1991). Weak Equivalence and the Structures of Cocycles of an Ergodic Automorphism. Publications of the Research Institute for Mathematical Sciences. 27(4). 577–625. 4 indexed citations
18.
Bezuglyi, Sergey & V. Ya. Golodets. (1985). Groups of measure space transformations and invariants of outer conjugation for automorphisms from normalizers of type III full groups. Journal of Functional Analysis. 60(3). 341–369. 9 indexed citations
19.
Bezuglyi, Sergey & V. Ya. Golodets. (1981). Hyperfinite and II1 actions for nonamenable groups. Journal of Functional Analysis. 40(1). 30–44. 8 indexed citations
20.
Bezuglyi, Sergey & V. Ya. Golodets. (1981). Topological properties of complete groups of automorphisms of a measure space. Siberian Mathematical Journal. 21(2). 147–155. 1 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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