Mikhail Lyubich

3.4k total citations
67 papers, 1.5k citations indexed

About

Mikhail Lyubich is a scholar working on Mathematical Physics, Geometry and Topology and Statistical and Nonlinear Physics. According to data from OpenAlex, Mikhail Lyubich has authored 67 papers receiving a total of 1.5k indexed citations (citations by other indexed papers that have themselves been cited), including 58 papers in Mathematical Physics, 36 papers in Geometry and Topology and 30 papers in Statistical and Nonlinear Physics. Recurrent topics in Mikhail Lyubich's work include Mathematical Dynamics and Fractals (53 papers), Quantum chaos and dynamical systems (21 papers) and Advanced Differential Equations and Dynamical Systems (20 papers). Mikhail Lyubich is often cited by papers focused on Mathematical Dynamics and Fractals (53 papers), Quantum chaos and dynamical systems (21 papers) and Advanced Differential Equations and Dynamical Systems (20 papers). Mikhail Lyubich collaborates with scholars based in United States, Canada and Russia. Mikhail Lyubich's co-authors include Alexandre Erëmenko, Alexander Blokh, Artur Avila, Yair N. Minsky, John Milnor, Jeremy Kahn, John Smillie, Eric Bedford, Welington de Melo and Michael Yampolsky and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Communications in Mathematical Physics and Annals of Mathematics.

In The Last Decade

Mikhail Lyubich

59 papers receiving 1.3k citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Mikhail Lyubich United States 22 1.4k 866 703 409 135 67 1.5k
Feliks Przytycki Poland 24 1.4k 1.0× 674 0.8× 680 1.0× 364 0.9× 104 0.8× 58 1.5k
Anthony Manning United Kingdom 10 740 0.5× 387 0.4× 402 0.6× 203 0.5× 114 0.8× 25 978
D. V. Anosov Russia 13 644 0.5× 436 0.5× 391 0.6× 219 0.5× 98 0.7× 42 944
Viviane Baladi France 18 871 0.6× 215 0.2× 639 0.9× 146 0.4× 95 0.7× 33 1.1k
Christian Bonatti France 22 1.7k 1.3× 965 1.1× 1.2k 1.6× 146 0.4× 96 0.7× 94 1.8k
J. Smı́tal Czechia 20 1.3k 0.9× 474 0.5× 677 1.0× 231 0.6× 216 1.6× 74 1.4k
Marcelo Viana Brazil 26 1.8k 1.3× 666 0.8× 1.5k 2.1× 128 0.3× 103 0.8× 59 2.1k
Caroline Series United Kingdom 18 869 0.6× 701 0.8× 235 0.3× 219 0.5× 206 1.5× 48 1.2k
Artur O. Lopes Brazil 15 704 0.5× 211 0.2× 416 0.6× 110 0.3× 91 0.7× 94 855
François Ledrappier France 13 673 0.5× 282 0.3× 333 0.5× 157 0.4× 77 0.6× 41 746

Countries citing papers authored by Mikhail Lyubich

Since Specialization
Citations

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

Fields of papers citing papers by Mikhail Lyubich

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Mikhail Lyubich

This figure shows the co-authorship network connecting the top 25 collaborators of Mikhail Lyubich. A scholar is included among the top collaborators of Mikhail Lyubich 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 Mikhail Lyubich. Mikhail Lyubich 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.
Lyubich, Mikhail, et al.. (2024). Antiholomorphic correspondences and mating I: Realization theorems. 4(11). 495–547. 1 indexed citations
2.
Lyubich, Mikhail, et al.. (2023). Local Connectivity of the Mandelbrot Set at Some Satellite Parameters of Bounded Type. Geometric and Functional Analysis. 33(4). 912–1047. 2 indexed citations
3.
Lyubich, Mikhail, et al.. (2023). On dynamical gaskets generated by rational maps, Kleinian groups, and Schwarz reflections. Conformal Geometry and Dynamics of the American Mathematical Society. 27(1). 1–54. 3 indexed citations
4.
Lyubich, Mikhail & Han Peters. (2021). Structure of partially hyperbolic Hénon maps. Journal of the European Mathematical Society. 23(9). 3075–3128. 3 indexed citations
5.
Lyubich, Mikhail. (2018). Dynamics of quadratic polynomials, III Parapuzzle and SBR measures. Astérisque. 2 indexed citations
6.
Lyubich, Mikhail, et al.. (2017). 𝜆-lemma for families of Riemann surfaces and the critical loci of complex Hénon maps. Conformal Geometry and Dynamics of the American Mathematical Society. 21(6). 111–125.
7.
Lyubich, Mikhail, et al.. (2017). Pacman renormalization and self-similarity of the Mandelbrot set near\n Siegel parameters. arXiv (Cornell University).
8.
Lyubich, Mikhail. (2012). Forty years of unimodal dynamics: On the occasion of Artur Avila winning the Brin Prize. Journal of Modern Dynamics. 6(2). 183–203. 3 indexed citations
9.
Avila, Artur, Mikhail Lyubich, & Weixiao Shen. (2010). Parapuzzle of the multibrot set and typical dynamics of unimodal maps. Journal of the European Mathematical Society. 13(1). 27–56. 13 indexed citations
10.
Kahn, Jeremy & Mikhail Lyubich. (2009). Local connectivity of Julia sets for unicritical polynomials. Annals of Mathematics. 170(1). 413–426. 21 indexed citations
11.
Lyubich, Mikhail, et al.. (2005). Graphs and patterns in mathematics and theoretical physics : proceedings of the Conference on Graphs and Patterns in Mathematics and Theoretical Physics, dedicated to Dennis Sullivan's 60th birthday, June 14-21, 2001, Stony Brook University, Stony Brook, New York. American Mathematical Society eBooks. 1 indexed citations
12.
Lyubich, Mikhail, et al.. (2005). Graphs and Patterns in Mathematics and Theoretical Physics. 24 indexed citations
13.
Lyubich, Mikhail, John Milnor, & Yair N. Minsky. (2001). Laminations and Foliations in Dynamics, Geometry and Topology. Contemporary mathematics - American Mathematical Society. 10 indexed citations
14.
Bedford, Eric, Mikhail Lyubich, & John Smillie. (1993). Polynomial diffeomorphisms ofC 2. IV: The measure of maximal entropy and laminar currents. Inventiones mathematicae. 112(1). 77–125. 94 indexed citations
15.
Blokh, Alexander & Mikhail Lyubich. (1991). Measurable dynamics of $S$-unimodal maps of the interval. Annales Scientifiques de l École Normale Supérieure. 24(5). 545–573. 66 indexed citations
16.
Blokh, Alexander & Mikhail Lyubich. (1989). Non-existence of wandering intervals and structure of topological attractors of one dimensional dynamical systems 2. The smooth case. Ergodic Theory and Dynamical Systems. 9(4). 751–758. 26 indexed citations
17.
Lyubich, Mikhail, et al.. (1988). Free subgroups of SL2(?) with two parabolic generators. Journal of Mathematical Sciences. 41(2). 976–979.
18.
Blokh, Alexander & Mikhail Lyubich. (1987). Attractors of transformations of an interval. Functional Analysis and Its Applications. 21(2). 148–150. 11 indexed citations
19.
Erëmenko, Alexandre & Mikhail Lyubich. (1985). Structural stability in some families of entire functions. Functional Analysis and Its Applications. 19(4). 323–324. 6 indexed citations
20.
Lyubich, Mikhail. (1982). The maximum-entropy measure of a rational endomorphism of the Riemann sphere. Functional Analysis and Its Applications. 16(4). 309–311. 7 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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