A. Katok

4.5k total citations · 1 hit paper
48 papers, 2.3k citations indexed

About

A. Katok is a scholar working on Mathematical Physics, Geometry and Topology and Statistical and Nonlinear Physics. According to data from OpenAlex, A. Katok has authored 48 papers receiving a total of 2.3k indexed citations (citations by other indexed papers that have themselves been cited), including 42 papers in Mathematical Physics, 27 papers in Geometry and Topology and 19 papers in Statistical and Nonlinear Physics. Recurrent topics in A. Katok's work include Mathematical Dynamics and Fractals (38 papers), Quantum chaos and dynamical systems (19 papers) and Geometric and Algebraic Topology (10 papers). A. Katok is often cited by papers focused on Mathematical Dynamics and Fractals (38 papers), Quantum chaos and dynamical systems (19 papers) and Geometric and Algebraic Topology (10 papers). A. Katok collaborates with scholars based in United States, Portugal and Russia. A. Katok's co-authors include Ralf Spatzier, Анатолий Михайлович Степин, Steven Hurder, James W. Lewis, Michael Brin, Keith Burns, Robert Osserman, Patrick Eberlein, Jean‐Paul Thouvenot and А. Кононенко and has published in prestigious journals such as Communications in Mathematical Physics, Annals of Mathematics and Inventiones mathematicae.

In The Last Decade

A. Katok

47 papers receiving 1.9k citations

Hit Papers

Lyapunov exponents, entropy and periodic orbits for diffe... 1980 2026 1995 2010 1980 100 200 300 400 500

Peers

A. Katok
Comparison fields: 5 of 58
  • Mathematical Physics 1.9k
  • Statistical and Nonlinear Physics 1.1k
  • Geometry and Topology 1.0k
  • Applied Mathematics 379
  • Computational Theory and Mathematics 266
Replace John Franks with:
John Franks United States
Joel W. Robbin United States
Ricardo Mañé Brazil
Michael Brin United States
Wen Huang China
Michael R. Herman France
D. V. Anosov Russia
Albert Fathi France
Yves Colin de Verdìère France
Yu. Ilyashenko Russia
John Franks United States View profile →
Citations per field, relative to A. Katok
A. Katok · 1×
Citations per year, relative to A. Katok
A. Katok · 1×

Countries citing papers authored by A. Katok

Since Specialization
Citations

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

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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-authorship network of co-authors of A. Katok

This figure shows the co-authorship network connecting the top 25 collaborators of A. Katok. A scholar is included among the top collaborators of A. Katok 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 A. Katok. A. Katok 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
# Work Indexed citations
1
Introduction and cocycle problem
0
2 11
3
New progress in nonuniform measure and cocycle rigidity
2
4 53
5 18
6 81
7 31
8 34
9 49
10 61
11 19
12 111
13 81
14 2
15 12
16 18
17 15
18 159
19 23
20 10

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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