A. Katok
Impact in
- Mathematical Physics top 0.2%
- Mathematical Dynamics and Fractals
- Geometry and Topology top 0.5%
- Geometric and Algebraic Topology
- Advanced Differential Equations and Dynamical Systems
- Geometry and complex manifolds
- Advanced Topology and Set Theory
Papers in
-
- Mathematical Dynamics and Fractals 40
- advanced mathematical theories 6
-
- Geometric and Algebraic Topology 11
- Advanced Differential Equations and Dynamical Systems 7
- Advanced Topology and Set Theory 5
- Co-authors
- Michael Brin (3 shared papers)Ralf Spatzier (5 shared papers)Анатолий Михайлович Степин (2 shared papers)Steven Hurder (4 shared papers)James W. Lewis (4 shared papers)Keith Burns (1 shared paper)Patrick Eberlein (1 shared paper)Robert Osserman (1 shared paper)
- Journals
- Ergodic Theory and Dynamical Systems (8 papers)Annals of Mathematics (3 papers)Mathematical Research Letters (3 papers)Lecture notes in mathematics (3 papers)Inventiones mathematicae (3 papers)
- Partner nations
- United StatesRussiaGermany
In The Last Decade
A. Katok
52 papers receiving 1.8k citations
Peers
Comparison fields: 5 of 64
- Mathematical Physics 1.9k
- Geometry and Topology 1.0k
- Statistical and Nonlinear Physics 986
- Applied Mathematics 416
- Computational Theory and Mathematics 275
Countries citing papers authored by A. Katok
This map shows the geographic impact of A. Katok'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 A. Katok with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites A. Katok more than expected).
Fields of papers citing papers by A. Katok
This network shows the impact of papers produced by A. Katok. 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 A. Katok. The network helps show where A. Katok may publish in the future.
Co-authors
The 24 scholars most cited alongside A. Katok, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
Showing the 20 most-cited of 53 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | 1983 | 233 | |
| 2 | 1985 | 181 | |
| 3 | 1975 | 178 | |
| 4 | 1967 | 146 | |
| 5 | 1982 | 126 | |
| 6 | 1990 | 114 | |
| 7 | 1973 | 96 | |
| 8 | 1982 | 93 | |
| 9 | 1996 | 93 | |
| 10 | 1979 | 81 | |
| 11 | 1989 | 69 | |
| 12 | 1991 | 55 | |
| 13 | 1997 | 55 | |
| 14 | 1987 | 53 | |
| 15 | Differential Rigidity of Anosov Actions of Higher Rank Abelian Groups and Algebraic Lattice Actions | 1997 | 48 |
| 16 | 1977 | 42 | |
| 17 | 1994 | 40 | |
| 18 | 1996 | 39 | |
| 19 | 1996 | 35 | |
| 20 | 1977 | 35 |
About A. Katok
A. Katok is a scholar working on Mathematical Physics, Geometry and Topology, Statistical and Nonlinear Physics, Applied Mathematics and Algebra and Number Theory, having authored 53 papers that have together received 2.2k indexed citations. Recurring topics across this work include Mathematical Dynamics and Fractals (40 papers), Quantum chaos and dynamical systems (21 papers), Geometric and Algebraic Topology (11 papers), Advanced Differential Equations and Dynamical Systems (7 papers), advanced mathematical theories (6 papers), Advanced Topology and Set Theory (5 papers), Geometric Analysis and Curvature Flows (5 papers) and Advanced Topics in Algebra (5 papers). The work is most often cited by research in Mathematical Physics (1.9k citations), Geometry and Topology (1.0k citations), Statistical and Nonlinear Physics (986 citations), Applied Mathematics (416 citations) and Computational Theory and Mathematics (275 citations). A. Katok has collaborated with scholars based in United States, Russia and Germany. Frequent co-authors include Michael Brin, Ralf Spatzier, Анатолий Михайлович Степин, Steven Hurder, James W. Lewis, Keith Burns, Patrick Eberlein, Robert Osserman, Jean‐Paul Thouvenot and Mark Pollicott. Their work appears in journals such as Ergodic Theory and Dynamical Systems, Annals of Mathematics, Mathematical Research Letters, Lecture notes in mathematics and Inventiones mathematicae.
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.