Leonid Polterovich

3.6k total citations
77 papers, 1.4k citations indexed

About

Leonid Polterovich is a scholar working on Geometry and Topology, Mathematical Physics and Applied Mathematics. According to data from OpenAlex, Leonid Polterovich has authored 77 papers receiving a total of 1.4k indexed citations (citations by other indexed papers that have themselves been cited), including 59 papers in Geometry and Topology, 52 papers in Mathematical Physics and 17 papers in Applied Mathematics. Recurrent topics in Leonid Polterovich's work include Geometric and Algebraic Topology (50 papers), Homotopy and Cohomology in Algebraic Topology (31 papers) and Mathematical Dynamics and Fractals (16 papers). Leonid Polterovich is often cited by papers focused on Geometric and Algebraic Topology (50 papers), Homotopy and Cohomology in Algebraic Topology (31 papers) and Mathematical Dynamics and Fractals (16 papers). Leonid Polterovich collaborates with scholars based in Israel, United States and Canada. Leonid Polterovich's co-authors include Michael Entov, Yakov Eliashberg, Misha Bialy, Dusa McDuff, Paul Biran, Karl Friedrich Siburg, Dietmar Salamon, François Lalonde, Gabriel P. Paternain and Mikhail Sodin and has published in prestigious journals such as Communications in Mathematical Physics, Annals of Mathematics and Transactions of the American Mathematical Society.

In The Last Decade

Leonid Polterovich

73 papers receiving 1.2k citations

Peers

Leonid Polterovich

GT

MP

AM

SNP

CTM

Robert E. Gompf United States

Tomasz Mrowka United States

Claude Viterbo France

Andreas Floer United States

Carlo Petronio Italy

Eugene Lerman United States

Alex Eskin United States

David Fried United States

Viktor L. Ginzburg United States

Curt McMullen United States

Robert E. Gompf United States

Leonid Polterovich

1.5k ×1.2

GT

1.2k ×1.2

MP

231 ×0.7

AM

63 ×0.3

SNP

185 ×1.2

CTM

Citations per year, relative to Leonid Polterovich Leonid Polterovich (= 1×) peers Robert E. Gompf

Countries citing papers authored by Leonid Polterovich

Since Specialization

Citations

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

Fields of papers citing papers by Leonid Polterovich

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Leonid Polterovich

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

All Works

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20 of 20 papers shown

1.

Polterovich, Leonid, et al.. (2024). Symplectic topology and ideal-valued measures. Selecta Mathematica. 30(5). 1 indexed citations

2.

Polterovich, Iosif, et al.. (2024). Coarse nodal count and topological persistence. Journal of the European Mathematical Society. 1 indexed citations

3.

Entov, Michael, Leonid Polterovich, & Lenya Ryzhik. (2024). Geometric Aspects of a Spin Chain. Journal of Statistical Physics. 191(12). 1 indexed citations

4.

Polterovich, Iosif, et al.. (2024). Persistent transcendental Bézout theorems. Forum of Mathematics Sigma. 12.

5.

Entov, Michael & Leonid Polterovich. (2023). Contact topology and non-equilibrium thermodynamics. Nonlinearity. 36(6). 3349–3375. 4 indexed citations

6.

Polterovich, Leonid, et al.. (2023). Contact geometric approach to Glauber dynamics near a cusp and its limitation. Journal of Physics A Mathematical and Theoretical. 56(12). 125001–125001. 3 indexed citations

7.

Polterovich, Leonid, et al.. (2023). Lagrangian configurations and Hamiltonian maps. Compositio Mathematica. 159(12). 2483–2520. 3 indexed citations

8.

Polterovich, Leonid, et al.. (2020). Topological Persistence in Geometry and Analysis. 17 indexed citations

9.

Polterovich, Leonid, et al.. (2014). Function Theory on Symplectic Manifolds. 24 indexed citations

10.

Polterovich, Leonid, et al.. (2011). V.I. Arnold (1937–2010). 113(4). 185–219. 1 indexed citations

11.

Knieper, Gerhard, et al.. (2009). Geometric Group Theory, Hyperbolic Dynamics and Symplectic Geometry. Oberwolfach Reports. 5(3). 2337–2406. 1 indexed citations

12.

Lalonde, François, et al.. (2009). New Perspectives and Challenges in Symplectic Field Theory. 23 indexed citations

13.

Frączek, Krzysztof & Leonid Polterovich. (2008). Growth and mixing. Journal of Modern Dynamics. 2(2). 315–338. 2 indexed citations

14.

Knieper, Gerhard, et al.. (2007). Geometric Group Theory, Hyperbolic Dynamics and Symplectic Geometry. Oberwolfach Reports. 3(3). 1991–2058. 1 indexed citations

15.

Eliashberg, Yakov, et al.. (2005). Geometry of contact transformations and domains: orderability vs. squeezing. arXiv (Cornell University). 6 indexed citations

16.

Biran, Paul, Michael Entov, & Leonid Polterovich. (2004). CALABI QUASIMORPHISMS FOR THE SYMPLECTIC BALL. Communications in Contemporary Mathematics. 6(5). 793–802. 41 indexed citations

17.

Lalonde, François & Leonid Polterovich. (1997). Symplectic diffeomorphisms as isometries of Hofer's norm. Topology. 36(3). 711–727. 14 indexed citations

18.

McDuff, Dusa & Leonid Polterovich. (1994). Symplectic packings and algebraic geometry. Inventiones mathematicae. 115(1). 405–429. 86 indexed citations

19.

Polterovich, Leonid. (1989). GEODESICS ON THE TWO-DIMENSIONAL TORUS WITH TWO ROTATION NUMBERS. Mathematics of the USSR-Izvestiya. 33(1). 101–114. 1 indexed citations

20.

Polterovich, Leonid, et al.. (1986). Geodesic flows on the two-dimensional torus and phase transitions “commensurability-noncommensurability”. Functional Analysis and Its Applications. 20(4). 260–266. 24 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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