Mikhail Lyubich | Academic Influence

Mikhail Lyubich's AcademicInfluence.com Rankings

Mikhail Lyubich

Mathematics

#3219

World Rank

#4803

Historical Rank

#1209

USA Rank

Complex Analysis

#28

World Rank

#42

Historical Rank

#12

USA Rank

Measure Theory

#2233

World Rank

#2682

Historical Rank

#634

USA Rank

mathematics Degrees

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Mathematics

Mikhail Lyubich's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics University of California, Berkeley
Bachelors Mathematics University of California, Berkeley

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Why Is Mikhail Lyubich Influential?

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According to Wikipedia, Mikhail Lyubich is a mathematician who made important contributions to the fields of holomorphic dynamics and chaos theory. Lyubich graduated from Kharkiv University with a master's degree in 1980, and obtained his PhD from Tashkent University in 1984. Currently, he is a Professor of Mathematics at Stony Brook University and the Director of the Institute of Mathematical Sciences at Stony Brook. From 2002-2008, he also held a position of Canada Research Chair at the University of Toronto.

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Mikhail Lyubich's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Dynamics of quadratic polynomials, I–II (1997) (269)
Feigenbaum-Coullet-Tresser universality and Milnor's hairiness conjecture. (1999) (212)
Polynomial diffeomorphisms ofC2. IV: The measure of maximal entropy and laminar currents (1992) (204)
Almost every real quadratic map is either regular or stochastic (1997) (192)
Laminations in holomorphic dynamics (1994) (138)
The dynamics of rational transforms: the topological picture (1986) (119)
Measurable dynamics of $S$-unimodal maps of the interval (1991) (118)
Regular or stochastic dynamics in real analytic families of unimodal maps (2003) (108)
The Fibonacci unimodal map (1991) (101)
Combinatorics, geometry and attractors of quasi-quadratic maps (1992) (100)
Renormalization in the Hénon Family, I: Universality But Non-Rigidity (2005) (90)
Distribution of periodic points of polynomial diffeomorphisms of C2 (1993) (87)
Dynamics of quadratic polynomials : Complex bounds for real maps (1995) (73)
On the Lebesgue measure of the Julia set of a quadratic polynomial (1991) (69)
COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: Some typical properties of the dynamics of rational maps (1983) (60)
The Quasi-Additivity Law in Conformal Geometry (2005) (53)
Hausdorff dimension and conformal measures of Feigenbaum Julia sets (2004) (53)
Local connectivity of Julia sets for unicritical polynomials (2005) (52)
Non-existence of wandering intervals and structure of topological attractors of one dimensional dynamical systems 2. The smooth case (1989) (50)
Dynamics of quadratic polynomials, III: Parapuzzle and SBR measures (1996) (48)
Combinatorial rigidity for unicritical polynomials (2005) (47)
Classification of invariant Fatou components for dissipative Hénon maps (2014) (46)
Stability and bifurcations for dissipative polynomial automorphisms of C^2 (2013) (44)
Non-existence of wandering intervals and structure of topological attractors of one dimensional dynamical systems: 1. The case of negative Schwarzian derivative (1989) (44)
Julia sets and complex singularities in hierarchical Ising models (1990) (41)
Conformal and Harmonic Measures on Laminations Associated with Rational Maps (2005) (40)
The full renormalization horseshoe for unimodal maps of higher degree: exponential contraction along hybrid classes (2010) (39)
Geometry of quadratic polynomials: moduli, rigidity and local connectivity (1993) (38)
Partially Hyperbolic Dynamics, Laminations, and Teichmuller Flow (2007) (37)
Measurable dynamics of the exponential (1987) (37)
Renormalization in the Hénon family, II: the heteroclinic web (2008) (34)
Stability and bifurcations for dissipative polynomial automorphisms of $${{\mathbb {C}}^2}$$C2 (2015) (33)
A priori bounds for some infinitely renormalizable quadratics: II. Decorations (2006) (32)
Quasisymmetries of Sierpi\'nski carpet Julia sets (2014) (31)
Attractors of maps of the interval (1989) (29)
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 (2005) (27)
Measure and dimension of solenoidal attractors of one dimensional dynamical systems (1990) (27)
The Quadratic Family as a Qualitatively Solvable Model of Chaos (2000) (26)
Ergodic theory for smooth one-dimensional dynamical systems (1991) (23)
Lee-Yang zeros for DHL and 2D rational dynamics, I. Foliation of the physical cylinder (2010) (22)
PARAPUZZLE OF THE MULTIBROT SET AND TYPICAL DYNAMICS OF UNIMODAL MAPS (2008) (20)
Repelling periodic points and landing of rays for post-singularly bounded exponential maps (2012) (20)
Renormalization ideas in conformal dynamics (1995) (18)
Polynomial Di eomorphisms of C 2 . IV : The Measure of Maximal Entropy and Laminar (1993) (18)
Regular and stochastic dynamics in the real quadratic family. (1998) (17)
A priori bounds for some infinitely renormalizable quadratics: III. Molecules (2007) (17)
Lebesgue measure of Feigenbaum Julia sets (2015) (16)
Structural stability in some families of entire functions (1985) (15)
Renormalizable Hénon-like maps and unbounded geometry (2010) (14)
Geometry and Dynamics (2005) (14)
Dynamics of Schwarz reflections: the mating phenomena (2018) (13)
Entropy of analytic endomorphisms of the riemannian sphere (1981) (13)
Frontiers in Complex Dynamics: In Celebration of John Milnor's 80th Birthday (2014) (13)
The maximum-entropy measure of a rational endomorphism of the Riemann sphere (1982) (12)
Attractors of transformations of an interval (1987) (12)
Spectral theory of almost-periodic representations of semigroups (1984) (11)
On dynamical gaskets generated by rational maps, Kleinian groups, and Schwarz reflections (2019) (11)
Schwarz reflections and the Tricorn (2018) (11)
Renormalization of Hénon Maps (2011) (11)
Laminations and foliations in dynamics, geometry and topology : proceedings of the conference on laminations and foliations in dynamics, geometry and topology, May 18-24, 1998, SUNY at Stony Brook (2001) (11)
Holomorphic Dynamics and Renormalization (2008) (10)
A note on hyperbolic leaves and wild laminations of rational functions (2008) (10)
Probabilistic Universality in Two-Dimensional Dynamics (2011) (9)
geometry and attractors of quasi quadratic maps (2005) (9)
Dynamics of quadratic polynomials, I: Combinatorics and geometry of the Yoccoz puzzle (1995) (9)
Lee–Yang–Fisher Zeros for the DHL and 2D Rational Dynamics, II. Global Pluripotential Interpretation (2011) (9)
Hedgehogs in higher dimensions and their applications (2016) (8)
Forty years of unimodal dynamics: On theoccasion of Artur Avila winning the Brin Prize (2012) (8)
Local connectivity of the Mandelbrot set at some satellite parameters of bounded type (2018) (8)
Examples of Feigenbaum Julia sets with small Hausdorff dimension (2004) (8)
Schwarz reflections and anti-holomorphic correspondences (2019) (8)
Dynamics of quadratic polynomials II: rigidity (1995) (8)
Pacman renormalization and self-similarity of the Mandelbrot set near Siegel parameters (2017) (7)
Structure of partially hyperbolic Hénon maps (2017) (7)
Splitting-off of the boundary spectrum for almost-periodic operators and representations of semigroups (1990) (7)
Hedgehogs for neutral dissipative germs of holomorphic diffeomorphisms of (C^2,0) (2020) (7)
Measure of solenoidal attractors of unimodal maps of the segment (1990) (7)
COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: On the typical behaviour of trajectories of the exponent (1986) (6)
The Perron-Frobenius theory for almost-periodic operators and representations of semigroups (1990) (6)
Free subgroups of SL2(ℂ) with two parabolic generators (1988) (6)
Problems in holomorphic dynamics (1992) (5)
Teichmüller Space of Fibonacci Maps (1993) (5)
Self-Similar Groups and Holomorphic Dynamics: Renormalization, Integrability, and Spectrum (2020) (5)
How big the set of infinitely renormalizable quadratics is (1996) (4)
Hedgehogs for neutral dissipative germs of holomorphic diffeomorphisms of $(\mathbb{C}^{2},0)$ (2016) (4)
Quasisymmetries of the Basilica and the Thompson Group (2016) (4)
Renormalization of H´ enon Maps (2011) (3)
A Comparison of Harmonic and Maximal Measures for Rational Functions (1992) (3)
Ergodicity of transitive unimodal transformations of a segment (1989) (3)
On the Isomorphism Problem of p-Endomorphisms (2003) (3)
Note on the geometry of generalized parabolic towers (2002) (2)
Uniform a priori bounds for neutral renormalization (2022) (2)
A Comparison of Harmonic and Balanced Measures on Cantor Repellors (2020) (2)
Typical behavior of the trajectories of transformations of a segment (1990) (2)
On the Borderline of Real and Complex Dynamics (1995) (2)
David extension of circle homeomorphisms, mating, and removability. (2020) (2)
Universality and Renormalization (2006) (2)
Wandering Domains for Holomorphic Maps (2013) (1)
RENORMALIZATION OF HÉNON MAPS: A SURVEY (2010) (1)
Ergodic properties of transformations of an interval (1989) (1)
ZEROS FOR DHL AND 2 D RATIONAL DYNAMICS , (2011) (1)
PRIORI BOUNDS FOR SOME INFINITELY RENORMALIZABLE QUADRATICS : II (2007) (1)
Trends and Developments in Complex Dynamics (2008) (0)
LAMINATIONS IN HOLOMORPHIC DYNAMICS MIKHAIL LYUBICH AND YAIR MINSKY (1994) (0)
The Critical Locus and Rigidity of Foliations of Complex Henon Maps (2021) (0)
$\lambda$-Lemma for families of Riemann surfaces and the critical loci of complex H\'enon maps (2014) (0)
Book Review: Renormalization and 3-manifolds which fiber over the circle (1999) (0)
Quasisymmetries of the Basilica and the Thompson Group (2018) (0)
Complex bounds for renormalization of one-dimensional dynamical systems (1997) (0)
HAUSDORFF DIMENSION AND CONFORMAL MEASURES OF FEIGENBAUM (2005) (0)
Lee–Yang–Fisher Zeros for the DHL and 2D Rational Dynamics, II. Global Pluripotential Interpretation (2019) (0)
Stability and bifurcations for dissipative polynomial automorphisms of C2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document (2014) (0)
John Milnor’s Work in Dynamics (2014) (0)
priori bounds for quadratic polynomials (2006) (0)
Mitchell Feigenbaum : Naturphilosoph and a Friend (2021) (0)
On cycles and coverings associated to a knot (2013) (0)
On the parameter space for the Henon family (2012) (0)
A COMPARISONOFHARMONICANDMAXIMAL MEASURES FORRATIONALFUNCTIONS (1992) (0)
Antiholomorphic correspondences and mating I: realization theorems (2023) (0)
Mitchell Feigenbaum (0)
General form of nonnegative projections in a space of continuous functions on a compactum (1990) (0)
Classification of invariant Fatou components for dissipative Hénon maps (2014) (0)
Book Review: Complex dynamics and renormalization (1999) (0)
COMPLEX ANALYSIS-II HOMEWORK: HINTS, COMMENTS, AND FURTHER PROBLEMS (2009) (0)

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