Anatole Katok

5.2k total citations · 1 hit paper
46 papers, 2.8k citations indexed

About

Anatole Katok is a scholar working on Mathematical Physics, Geometry and Topology and Statistical and Nonlinear Physics. According to data from OpenAlex, Anatole Katok has authored 46 papers receiving a total of 2.8k indexed citations (citations by other indexed papers that have themselves been cited), including 39 papers in Mathematical Physics, 25 papers in Geometry and Topology and 19 papers in Statistical and Nonlinear Physics. Recurrent topics in Anatole Katok's work include Mathematical Dynamics and Fractals (38 papers), Quantum chaos and dynamical systems (18 papers) and Geometric and Algebraic Topology (12 papers). Anatole Katok is often cited by papers focused on Mathematical Dynamics and Fractals (38 papers), Quantum chaos and dynamical systems (18 papers) and Geometric and Algebraic Topology (12 papers). Anatole Katok collaborates with scholars based in United States, France and Austria. Anatole Katok's co-authors include Boris Hasselblatt, Manfred Einsiedler, Feliks Przytycki, François Ledrappier, Jean-Marie Strelcyn, Ralf Spatzier, Bassam Fayad, David B. Bernstein, Elon Lindenstrauss and Svetlana Katok and has published in prestigious journals such as Communications in Mathematical Physics, Annals of Mathematics and Communications on Pure and Applied Mathematics.

In The Last Decade

Anatole Katok

46 papers receiving 2.5k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Introduction to the Modern Theory of Dynamical Systems

1995 1.3k citations Anatole Katok, Boris Hasselblatt Cambridge University Press eBooks profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Anatole Katok United States	22	2.1k	1.4k	1.0k	294	275	46	2.8k
Boris Hasselblatt United States	14	1.3k 0.6×	1.1k 0.8×	639 0.6×	245 0.8×	257 0.9×	44	2.2k
Welington de Melo Brazil	11	1.4k 0.7×	1.1k 0.8×	914 0.9×	322 1.1×	318 1.2×	18	2.3k
Michał Misiurewicz United States	26	2.3k 1.1×	1.4k 1.0×	952 1.0×	178 0.6×	387 1.4×	128	2.7k
Jacob Palis Brazil	21	1.8k 0.9×	1.5k 1.1×	1.3k 1.3×	364 1.2×	332 1.2×	37	2.9k
Yakov Pesin United States	20	2.2k 1.1×	1.6k 1.1×	542 0.5×	305 1.0×	249 0.9×	54	2.8k
Mark Pollicott United Kingdom	25	2.2k 1.1×	1.2k 0.9×	881 0.9×	400 1.4×	285 1.0×	165	2.7k
Gerhard Keller Germany	26	1.7k 0.8×	1.3k 0.9×	395 0.4×	196 0.7×	259 0.9×	69	2.4k
Michael Shub United States	26	2.0k 0.9×	1.4k 1.0×	1.4k 1.4×	437 1.5×	1.0k 3.7×	78	3.7k
Clark Robinson United States	18	1.0k 0.5×	1.1k 0.8×	666 0.7×	121 0.4×	181 0.7×	42	1.9k
Charles Pugh United States	22	1.9k 0.9×	1.5k 1.1×	1.2k 1.2×	408 1.4×	221 0.8×	59	2.8k

Countries citing papers authored by Anatole Katok

Since Specialization

Citations

This map shows the geographic impact of Anatole 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 Anatole Katok with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Anatole Katok more than expected).

Fields of papers citing papers by Anatole Katok

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Anatole 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 Anatole Katok. The network helps show where Anatole Katok may publish in the future.

Co-authorship network of co-authors of Anatole Katok

This figure shows the co-authorship network connecting the top 25 collaborators of Anatole Katok. A scholar is included among the top collaborators of Anatole 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 Anatole Katok. Anatole Katok is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

1.

Climenhaga, Vaughn & Anatole Katok. (2017). From Groups to Geometry and Back. 3 indexed citations

2.

Katok, Anatole, et al.. (2011). Local rigidity of homogeneous parabolic actions: I. A model case. Journal of Modern Dynamics. 5(2). 203–235. 12 indexed citations

3.

Katok, Anatole & Viorel Niţică. (2011). Rigidity in Higher Rank Abelian Group Actions. Cambridge University Press eBooks. 21 indexed citations

4.

Kalinin, Boris, et al.. (2010). Errata to "Measure rigidity beyond uniform hyperbolicity: Invariant measures for Cartan actions on tori" and "Uniqueness of large invariant measures for $\Zk$ actions with Cartan homotopy data". Journal of Modern Dynamics. 4(1). 207–209. 1 indexed citations

5.

Katok, Anatole, et al.. (2010). Measure and cocycle rigidity for certain nonuniformly hyperbolic actions of higher-rank abelian groups. Journal of Modern Dynamics. 4(3). 487–515. 7 indexed citations

6.

Hasselblatt, Boris & Anatole Katok. (2010). A First Course in Dynamics: With a Panorama of Recent Developments. 93 indexed citations

7.

Kalinin, Boris, Anatole Katok, & Federico Rodriguez Hertz. (2008). New progress in nonuniform measure and cocycle rigidity. 15. 79. 2 indexed citations

8.

Katok, Anatole & Vaughn Climenhaga. (2008). Lectures on Surfaces. 8 indexed citations

9.

Kalinin, Boris & Anatole Katok. (2007). Measure rigidity beyond uniform hyperbolicity: invariant measures for cartan actions on tori. Journal of Modern Dynamics. 1(1). 123–146. 17 indexed citations

10.

Katok, Anatole. (2007). Fifty years of entropy in dynamics: 1958--2007. Journal of Modern Dynamics. 1(4). 545–596. 74 indexed citations

11.

Katok, Anatole, et al.. (2007). Uniqueness of large invariant measures for $\mathbb{Z}^k$ actions with Cartan homotopy data. Journal of Modern Dynamics. 1(2). 287–300. 10 indexed citations

12.

Katok, Anatole, et al.. (2007). Local rigidity of restrictions of Weyl chamber flows. Comptes Rendus Mathématique. 344(8). 503–508. 8 indexed citations

13.

Einsiedler, Manfred & Anatole Katok. (2005). Rigidity of measures—The high entropy case and non-commuting foliations. Israel Journal of Mathematics. 148(1). 169–238. 21 indexed citations

14.

Katok, Anatole, et al.. (2004). Local rigidity of actions of higher rank abelian groups and KAM method. 10(16). 142–154. 12 indexed citations

15.

Katok, Anatole. (2003). Combinatorial Constructions in Ergodic Theory and Dynamics. 45 indexed citations

16.

Kalinin, Boris & Anatole Katok. (2002). Measurable rigidity and disjointness for {\mathbb Z}^k actions by toral automorphisms. Ergodic Theory and Dynamical Systems. 22(2). 507–523. 10 indexed citations

17.

Katok, Anatole. (2001). Smooth Ergodic Theory and Its Applications. 81 indexed citations

18.

Katok, Anatole & Svetlana Katok. (1995). Higher cohomology for Abelian groups of toral automorphisms. Ergodic Theory and Dynamical Systems. 15(3). 569–592. 20 indexed citations

19.

Katok, Anatole, et al.. (1988). Four applications of conformal equivalence to geometry and dynamics. Ergodic Theory and Dynamical Systems. 8(8). 139–152. 49 indexed citations

20.

Katok, Anatole, et al.. (1982). Smooth models of Thurston's pseudo-Anosov maps. Annales Scientifiques de l École Normale Supérieure. 15(1). 173–204. 31 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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