Edit Profile (opens in new tab) Lyubich, Mikhail Co-Author Distance Author ID: lyubich.mikhail Published as: Lyubich, Mikhail; Lyubich, M. Yu.; Lyubich, M.; Lyubich, Mikhail Yur’evich more...less Further Spellings: Любич Михаил Юрьевич Homepage: http://www.math.stonybrook.edu/~mlyubich/ External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 124 Publications since 1979, including 1 Book and 18 Additional arXiv Preprints 8 Contributions as Editor Biographic References: 1 Publication Co-Authors: 69 Co-Authors with 91 Joint Publications 2,082 Co-Co-Authors all top 5 Co-Authors 41 single-authored 12 Blokh, Alexander M. 7 Avila, Artur 7 Eremenko, Alexandre Émmanuilovich 7 Lyubich, Yuriĭ Il’ich 7 Mukherjee, Sabyasachi 6 Kahn, Jeremy Adam 5 Martens, Marco 4 Dudko, Dzmitry 4 Merenkov, Sergei 3 Bleher, Pavel M. 3 Lee, Seung-Yeop 3 Makarov, Nikolai Georgievich 3 Milnor, John Willard 3 Smillie, John 2 Bedford, Eric 2 Dujardin, Romain 2 Firsova, Tanya 2 McMullen, Curtis Tracy 2 Minsky, Yair N. 2 Peters, Han 2 Radu, Remus 2 Roeder, Roland K. W. 2 Shen, Weixiao 2 Sutherland, Scott 2 Suvorov, V. V. 2 Tanase, Raluca 2 Volberg, Alexander Lvovich 2 Yampolsky, Michael 1 Azarin, Vladimir S. 1 Benini, Anna Miriam 1 Bielefeld, Ben 1 Bonifant, Araceli M. 1 Bonk, Mario 1 Carleson, Lennart 1 Crovisier, Sylvain 1 Dang, Nguyen-Bac 1 de Melo, Welington 1 Devaney, Robert L. 1 Eells, James jun. 1 Forni, Giovanni 1 Ghys, Étienne 1 Giner, V. B. 1 Grigorchuk, Rostislav Ivanovich 1 Hazard, P. E. 1 Ji, Lizhen 1 Kaimanovich, Vadim A. 1 Khanin, Konstantin M. 1 Lodge, Russell 1 Lyubich, Lilya 1 Mazor, Jacob 1 Ntalampekos, Dimitrios 1 Palis, Jacob jun. 1 Petersen, Carsten Lunde 1 Przytycki, Feliks 1 Pugh, Charles Chapman 1 Pujals, Enrique Ramiro 1 Rees, Mary 1 Rempe-Gillen, Lasse 1 Robertson, John W. 1 Salles de Carvalho, André 1 Schleicher, Dierk 1 Seade, Jose Antonio 1 Selinger, Nikita 1 Shub, Michael 1 Siggia, Eric D. 1 Sinaĭ, Yakov Grigor’evich 1 Takhtajan, Leon Armenovich 1 Yang, Jonguk 1 Yau, Shing-Tung all top 5 Serials 7 Annals of Mathematics. Second Series 5 Inventiones Mathematicae 5 Journal of Soviet Mathematics 5 Soviet Mathematics. Doklady 5 Teoriya Funktsiĭ, Funktsional’nyĭ Analiz i ikh Prilozheniya 4 Functional Analysis and its Applications 3 Communications in Mathematical Physics 3 Russian Mathematical Surveys 3 Annales de l’Institut Fourier 3 Ergodic Theory and Dynamical Systems 3 Journal of the American Mathematical Society 3 Geometric and Functional Analysis. GAFA 2 Ukrainian Mathematical Journal 2 Advances in Mathematics 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Selecta Mathematica Sovietica 2 Leningrad Mathematical Journal 2 Notices of the American Mathematical Society 2 Conformal Geometry and Dynamics 2 Journal of the European Mathematical Society (JEMS) 2 Contemporary Mathematics 2 Fields Institute Communications 1 Journal of Statistical Physics 1 Mathematical Notes 1 Nonlinearity 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Acta Mathematica 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Gazette des Mathématiciens 1 Publications Mathématiques 1 Journal of Differential Geometry 1 Journal of the London Mathematical Society. Second Series 1 Memoirs of the American Mathematical Society 1 Publicationes Mathematicae Debrecen 1 Siberian Mathematical Journal 1 Algebra i Analiz 1 The Journal of Geometric Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the National Academy of Sciences of the United States of America 1 Journal of Knot Theory and its Ramifications 1 Journal of Difference Equations and Applications 1 The Journal of Fourier Analysis and Applications 1 Oberwolfach Reports 1 Pure and Applied Mathematics Quarterly 1 Princeton Mathematical Series 1 Proceedings of Symposia in Pure Mathematics 1 Journal of Modern Dynamics 1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova all top 5 Fields 103 Dynamical systems and ergodic theory (37-XX) 39 Functions of a complex variable (30-XX) 11 Measure and integration (28-XX) 10 Several complex variables and analytic spaces (32-XX) 8 General and overarching topics; collections (00-XX) 8 Group theory and generalizations (20-XX) 7 Differential geometry (53-XX) 5 Topological groups, Lie groups (22-XX) 4 History and biography (01-XX) 4 Operator theory (47-XX) 4 General topology (54-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Manifolds and cell complexes (57-XX) 2 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Abstract harmonic analysis (43-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Quantum theory (81-XX) 1 Combinatorics (05-XX) 1 Potential theory (31-XX) 1 Partial differential equations (35-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 90 Publications have been cited 1,686 times in 1,004 Documents Cited by ▼ Year ▼ Dynamical properties of some classes of entire functions. Zbl 0735.58031 Eremenko, A.; Lyubich, M. 200 1992 Entropy properties of rational endomorphisms of the Riemann sphere. Zbl 0537.58035 Lyubich, M. Yu. 123 1983 Dynamics of quadratic polynomials. I, II. Zbl 0908.58053 Lyubich, Mikhail 93 1997 Polynomial diffeomorphisms of \(\mathbb{C}^ 2\). IV: The measure of maximal entropy and laminar currents. Zbl 0792.58034 Bedford, Eric; Lyubich, Mikhail; Smillie, John 85 1993 Feigenbaum-Coullet-Tresser universality and Milnor’s hairiness conjecture. Zbl 0945.37012 Lyubich, Mikhail 73 1999 Almost every real quadratic map is either regular or stochastic. Zbl 1160.37356 Lyubich, Mikhail 67 2002 Laminations in holomorphic dynamics. Zbl 0910.58032 Lyubich, Mikhail; Minsky, Yair 53 1997 Examples of entire functions with pathological dynamics. Zbl 0601.30033 Eremenko, A. E.; Lyubich, M. Yu. 46 1987 Measurable dynamics of S-unimodal maps of the interval. Zbl 0790.58024 Blokh, A. M.; Lyubich, M. Yu. 44 1991 Regular or stochastic dynamics in real analytic families of unimodal maps. Zbl 1050.37018 Avila, Artur; Lyubich, Mikhail; de Melo, Welington 42 2003 The Fibonacci unimodal map. Zbl 0778.58040 Lyubich, Mikhail; Milnor, John 40 1993 The dynamics of rational transforms: the topological picture. Zbl 0619.30033 Lyubich, M. Yu. 38 1987 Renormalization in the Hénon family. I: Universality but non-rigidity. Zbl 1098.37039 De Carvalho, A.; Lyubich, M.; Martens, M. 37 2005 Combinatorics, geometry and attractors of quasi-quadratic maps. Zbl 0821.58014 Lyubich, Mikhail 34 1994 Distribution of periodic points of polynomial diffeomorphisms of \(\mathbb{C}^ 2\). Zbl 0799.58039 Bedford, Eric; Lyubich, Mikhail; Smillie, John 33 1993 Hausdorff dimension and conformal measures of Feigenbaum Julia sets. Zbl 1205.37058 Avila, Artur; Lyubich, Mikhail 30 2008 Stability and bifurcations for dissipative polynomial automorphisms of \(\mathbb C^2\). Zbl 1337.37029 Dujardin, Romain; Lyubich, Mikhail 28 2015 The dynamics of analytic transformations. Zbl 0717.58029 Eremenko, A. Eh.; Lyubich, M. Yu. 27 1990 Combinatorial rigidity for unicritical polynomials. Zbl 1204.37047 Avila, Artur; Kahn, Jeremy; Lyubich, Mikhail; Shen, Weixiao 27 2009 Some typical properties of the dynmics of rational maps. Zbl 0598.58028 Lyubich, M. Yu. 26 1983 The quasi-additivity law in conformal geometry. Zbl 1203.30011 Kahn, Jeremy; Lyubich, Mikhail 25 2009 Non-existence of wandering intervals and structure of topological attractors of one dimensional dynamical systems. II: The smooth case. Zbl 0665.58024 Blokh, A. M.; Lyubich, M. Yu. 24 1989 Non-existence of wandering intervals and structure of topological attractors of one dimensional dynamical systems. I: The case of negative Schwarzian derivative. Zbl 0665.58023 Lyubich, M. Yu. 21 1989 Some generic properties of the dynamics of rational mappings. Zbl 0546.58033 Lyubich, M. Yu. 21 1983 Dynamics of quadratic polynomials: complex bounds for real maps. Zbl 0881.58053 Lyubich, Mikhail; Yampolsky, Michael 20 1997 Julia sets and complex singularities in hierarchical Ising models. Zbl 0737.30019 Bleher, P. M.; Lyubich, M. Yu. 20 1991 Dynamics of quadratic polynomials. III: Parapuzzle and SRB measures. Zbl 1044.37038 Lyubich, Mikhail 19 2000 Dynamics of analytic transformations. Zbl 0712.58036 Eremenko, A. Eh.; Lyubich, M. Yu. 19 1989 The full renormalization horseshoe for unimodal maps of higher degree: exponential contraction along hybrid classes. Zbl 1286.37047 Avila, Artur; Lyubich, Mikhail 18 2011 Classification of invariant Fatou components for dissipative Hénon maps. Zbl 1301.32013 Lyubich, Mikhail; Peters, Han 17 2014 Local connectivity of Julia sets for unicritical polynomials. Zbl 1180.37072 Kahn, Jeremy; Lyubich, Mikhail 17 2009 On typical behavior of the trajectories of a rational mapping of the sphere. Zbl 0595.30034 Lyubich, M. Yu. 16 1983 Renormalization in the Hénon family. II: The heteroclinic web. Zbl 1243.37035 Lyubich, M.; Martens, M. 16 2011 Quasisymmetries of Sierpiński carpet Julia sets. Zbl 1358.37083 Bonk, Mario; Lyubich, Mikhail; Merenkov, Sergei 16 2016 Measurable dynamics of the exponential. Zbl 0638.30026 Lyubich, M. Yu. 14 1987 Conformal and harmonic measures on laminations associated with rational maps. Zbl 1242.37032 Kaimanovich, Vadim A.; Lyubich, Mikhail 14 2005 A priori bounds for some infinitely renormalizable quadratics. II: Decorations. Zbl 1156.37311 Kahn, Jeremy; Lyubich, Mikhail 14 2008 Investigation of the stability of the dynamics of rational functions. Zbl 0572.30023 Lyubich, M. Yu. 11 1984 Iterates of entire functions. Zbl 0588.30027 Eremenko, A. Eh.; Lyubich, M. Yu. 11 1984 Lee-Yang zeros for the DHL and 2D rational dynamics. I: Foliation of the physical cylinder. Zbl 1372.82011 Bleher, Pavel; Lyubich, Mikhail; Roeder, Roland 11 2017 A priori bounds for some infinitely renormalizable quadratics. III: Molecules. Zbl 1180.37069 Kahn, Jeremy; Lyubich, Mikhail 11 2009 Parapuzzle of the Multibrot set and typical dynamics of unimodal maps. Zbl 1213.37076 Avila, Artur; Lyubich, Mikhail; Shen, Weixiao 11 2011 Measure and dimension of solenoidal attractors of one-dimensional dynamical systems. Zbl 0721.58033 Blokh, A. M.; Lyubich, M. Yu. 10 1990 Repelling periodic points and landing of rays for post-singularly bounded exponential maps. (Points périodiques répulsifs et atterrissage de rayons pour les fonctions exponentielles avec orbite singulière limitée.) Zbl 1323.37029 Benini, Anna Miriam; Lyubich, Mikhail 10 2014 Examples of Feigenbaum Julia sets with small Hausdorff dimension. Zbl 1173.37045 Avila, Artur; Lyubich, Mikhail 9 2006 The quadratic family as a qualitatively solvable model of chaos. Zbl 1040.37032 Lyubich, Mikhail 8 2000 The maximum-entropy measure of a rational endomorphism of the Riemann sphere. Zbl 0525.28021 Lyubich, M. Yu. 7 1983 Lebesgue measure of Feigenbaum Julia sets. Zbl 1494.37026 Avila, Artur; Lyubich, Mikhail 7 2022 An analysis of the stability of the dynamics of rational functions. Zbl 0697.30026 Lyubich, M. Yu. 6 1990 Removal of the boundary spectrum for almost periodic operators and representations of semigroups. Zbl 0629.47033 Lyubich, M. Yu.; Lyubich, Yu. I. 6 1986 Attractors of transformations of a closed interval. Zbl 0653.58022 Blokh, A. M.; Lyubich, M. Yu. 6 1987 Measurable dynamics of the exponential map. Zbl 0667.58037 Lyubich, M. Yu. 6 1987 Renormalization of Hénon maps. Zbl 1253.37046 Lyubich, M.; Martens, M. 6 2011 Attractors of maps of the interval. Zbl 0698.58037 Blokh, A. M.; Lyubich, M. Yu. 5 1989 Entropy of analytic endomorphisms of the Riemannian sphere. Zbl 0483.30032 Lyubich, M. Yu. 5 1982 Measure of solenoidal attractors of unimodal maps of the segment. Zbl 0774.58026 Blokh, A. M.; Lyubich, M. Yu. 5 1990 Schwarz reflections and anti-holomorphic correspondences. Zbl 1469.30017 Lee, Seung-Yeop; Lyubich, Mikhail; Makarov, Nikolai G.; Mukherjee, Sabyasachi 5 2021 Lee-Yang-Fisher zeros for the DHL and 2D rational dynamics. II: Global pluripotential interpretation. Zbl 1437.82003 Bleher, Pavel; Lyubich, Mikhail; Roeder, Roland 5 2020 Teichmüller space of Fibonacci maps. Zbl 1446.37048 Lyubich, Mikhail 5 2019 Pacman renormalization and self-similarity of the Mandelbrot set near Siegel parameters. Zbl 1457.37061 Dudko, Dzmitry; Lyubich, Mikhail; Selinger, Nikita 5 2020 How big is the set of infinitely renormalizable quadratics? Zbl 0910.58033 Lyubich, Mikhail 4 1998 Ergodicity of transitive unimodal transformations of a segment. Zbl 0774.58018 Blokh, A. M.; Lyubich, M. Yu. 4 1989 A note on hyperbolic leaves and wild laminations of rational functions. Zbl 1198.30031 Kahn, Jeremy; Lyubich, Mikhail; Rempe, Lasse 4 2010 Frontiers in complex dynamics. In celebration of John Milnor’s 80th birthday. Based on a conference, Banff, Canada, February 2011. Zbl 1285.37001 3 2014 Milnor’s attractors persistent recurrence and renormalization. Zbl 0797.58050 Lyubich, Mikhail 3 1993 Hedgehogs in higher dimensions and their applications. Zbl 1472.32003 Lyubich, Mikhail; Radu, Remus; Tanase, Raluca 3 2020 Quasisymmetries of the basilica and the Thompson group. Zbl 1499.30238 Lyubich, Mikhail; Merenkov, Sergei 2 2018 Laminations and foliations in dynamics, geometry and topology. Proceedings of the conference held at SUNY at Stony Brook, USA, May 18–24, 1998. Zbl 0959.00033 2 2001 Structural stability in some families of entire functions. Zbl 0597.30032 Eremenko, A. Eh.; Lyubich, M. Yu. 2 1985 On the typical behaviour of trajectories of the exponent. Zbl 0617.30032 Lyubich, M. Yu. 2 1986 Ergodic properties of transformations of an interval. Zbl 0704.58015 Blokh, A. M.; Lyubich, M. Yu. 2 1989 On decomposition of one-dimensional dynamical systems into ergodic components. The case of negative Schwarzian. Zbl 0718.58024 Blokh, A. M.; Lyubich, M. Yu. 2 1990 A comparison of harmonic and balanced measures on Cantor repellors. Zbl 0891.58024 Lyubich, Mikhail; Volberg, Alexander 2 1995 Spectral theory of almost periodic representations of semigroups. Zbl 0557.22006 Lyubich, M. Yu.; Lyubich, Yu. I. 2 1984 Forty years of unimodal dynamics: on the occasion of Artur Avila winning the Brin Prize. Zbl 1280.37036 Lyubich, Mikhail 2 2012 Renormalization ideas in conformal dynamics. Zbl 0877.58046 Lyubich, Mikhail 2 1995 Hedgehogs for neutral dissipative germs of holomorphic diffeomorphisms of \((\mathbb{C}^2,0)\). Zbl 1478.37052 Firsova, Tanya; Lyubich, Mikhail; Radu, Remus; Tanase, Raluca 2 2020 Renormalizable Hénon-like maps and unbounded geometry. Zbl 1268.37060 Hazard, P. E.; Lyubich, M.; Martens, M. 2 2012 Structure of partially hyperbolic Hénon maps. Zbl 1470.32042 Lyubich, Mikhail; Peters, Han 2 2021 Analytic low-dimensional dynamics: from dimension one to two. Zbl 1373.37103 Lyubich, Mikhail 1 2014 Regular and stochastic dynamics in the real quadratic family. Zbl 0936.37020 Lyubich, Mikhail 1 1998 General form of nonnegative projections in a space of continuous functions on a compactum. Zbl 0685.47033 Lyubich, M. Yu.; Lyubich, Yu. I. 1 1985 Perron-Frobenius theory for almost periodic operators and representations of semigroups. Zbl 0606.22002 Lyubich, M. Yu.; Lyubich, Yu. I. 1 1986 Free subgroups of \(SL_ 2({\mathbb{C}})\) with two parabolic generators. Zbl 0639.20025 Lyubich, M. Yu.; Suvorov, V. V. 1 1988 On typical behaviour of trajectories of transformations of a segment. Zbl 0666.58031 Blokh, A. M.; Lyubich, M. Yu. 1 1988 On the borderline of real and complex dynamics. Zbl 0847.58021 Lyubich, Mikhail 1 1995 Absence of wandering intervals in one-dimensional smooth dynamical systems. Zbl 0676.58035 Blokh, A. M.; Lyubich, M. Yu. 1 1989 On dynamical gaskets generated by rational maps, Kleinian groups, and Schwarz reflections. Zbl 1517.37055 Lodge, Russell; Lyubich, Mikhail; Merenkov, Sergei; Mukherjee, Sabyasachi 1 2023 Probabilistic universality in two-dimensional dynamics. Zbl 1475.37046 Lyubich, Mikhail Yur’evich; Martens, Marco 1 2021 Local connectivity of the Mandelbrot set at some satellite parameters of bounded type. Zbl 1526.37062 Dudko, Dzmitry; Lyubich, Mikhail 1 2023 On dynamical gaskets generated by rational maps, Kleinian groups, and Schwarz reflections. Zbl 1517.37055 Lodge, Russell; Lyubich, Mikhail; Merenkov, Sergei; Mukherjee, Sabyasachi 1 2023 Local connectivity of the Mandelbrot set at some satellite parameters of bounded type. Zbl 1526.37062 Dudko, Dzmitry; Lyubich, Mikhail 1 2023 Lebesgue measure of Feigenbaum Julia sets. Zbl 1494.37026 Avila, Artur; Lyubich, Mikhail 7 2022 Schwarz reflections and anti-holomorphic correspondences. Zbl 1469.30017 Lee, Seung-Yeop; Lyubich, Mikhail; Makarov, Nikolai G.; Mukherjee, Sabyasachi 5 2021 Structure of partially hyperbolic Hénon maps. Zbl 1470.32042 Lyubich, Mikhail; Peters, Han 2 2021 Probabilistic universality in two-dimensional dynamics. Zbl 1475.37046 Lyubich, Mikhail Yur’evich; Martens, Marco 1 2021 Lee-Yang-Fisher zeros for the DHL and 2D rational dynamics. II: Global pluripotential interpretation. Zbl 1437.82003 Bleher, Pavel; Lyubich, Mikhail; Roeder, Roland 5 2020 Pacman renormalization and self-similarity of the Mandelbrot set near Siegel parameters. Zbl 1457.37061 Dudko, Dzmitry; Lyubich, Mikhail; Selinger, Nikita 5 2020 Hedgehogs in higher dimensions and their applications. Zbl 1472.32003 Lyubich, Mikhail; Radu, Remus; Tanase, Raluca 3 2020 Hedgehogs for neutral dissipative germs of holomorphic diffeomorphisms of \((\mathbb{C}^2,0)\). Zbl 1478.37052 Firsova, Tanya; Lyubich, Mikhail; Radu, Remus; Tanase, Raluca 2 2020 Teichmüller space of Fibonacci maps. Zbl 1446.37048 Lyubich, Mikhail 5 2019 Quasisymmetries of the basilica and the Thompson group. Zbl 1499.30238 Lyubich, Mikhail; Merenkov, Sergei 2 2018 Lee-Yang zeros for the DHL and 2D rational dynamics. I: Foliation of the physical cylinder. Zbl 1372.82011 Bleher, Pavel; Lyubich, Mikhail; Roeder, Roland 11 2017 Quasisymmetries of Sierpiński carpet Julia sets. Zbl 1358.37083 Bonk, Mario; Lyubich, Mikhail; Merenkov, Sergei 16 2016 Stability and bifurcations for dissipative polynomial automorphisms of \(\mathbb C^2\). Zbl 1337.37029 Dujardin, Romain; Lyubich, Mikhail 28 2015 Classification of invariant Fatou components for dissipative Hénon maps. Zbl 1301.32013 Lyubich, Mikhail; Peters, Han 17 2014 Repelling periodic points and landing of rays for post-singularly bounded exponential maps. (Points périodiques répulsifs et atterrissage de rayons pour les fonctions exponentielles avec orbite singulière limitée.) Zbl 1323.37029 Benini, Anna Miriam; Lyubich, Mikhail 10 2014 Frontiers in complex dynamics. In celebration of John Milnor’s 80th birthday. Based on a conference, Banff, Canada, February 2011. Zbl 1285.37001 3 2014 Analytic low-dimensional dynamics: from dimension one to two. Zbl 1373.37103 Lyubich, Mikhail 1 2014 Forty years of unimodal dynamics: on the occasion of Artur Avila winning the Brin Prize. Zbl 1280.37036 Lyubich, Mikhail 2 2012 Renormalizable Hénon-like maps and unbounded geometry. Zbl 1268.37060 Hazard, P. E.; Lyubich, M.; Martens, M. 2 2012 The full renormalization horseshoe for unimodal maps of higher degree: exponential contraction along hybrid classes. Zbl 1286.37047 Avila, Artur; Lyubich, Mikhail 18 2011 Renormalization in the Hénon family. II: The heteroclinic web. Zbl 1243.37035 Lyubich, M.; Martens, M. 16 2011 Parapuzzle of the Multibrot set and typical dynamics of unimodal maps. Zbl 1213.37076 Avila, Artur; Lyubich, Mikhail; Shen, Weixiao 11 2011 Renormalization of Hénon maps. Zbl 1253.37046 Lyubich, M.; Martens, M. 6 2011 A note on hyperbolic leaves and wild laminations of rational functions. Zbl 1198.30031 Kahn, Jeremy; Lyubich, Mikhail; Rempe, Lasse 4 2010 Combinatorial rigidity for unicritical polynomials. Zbl 1204.37047 Avila, Artur; Kahn, Jeremy; Lyubich, Mikhail; Shen, Weixiao 27 2009 The quasi-additivity law in conformal geometry. Zbl 1203.30011 Kahn, Jeremy; Lyubich, Mikhail 25 2009 Local connectivity of Julia sets for unicritical polynomials. Zbl 1180.37072 Kahn, Jeremy; Lyubich, Mikhail 17 2009 A priori bounds for some infinitely renormalizable quadratics. III: Molecules. Zbl 1180.37069 Kahn, Jeremy; Lyubich, Mikhail 11 2009 Hausdorff dimension and conformal measures of Feigenbaum Julia sets. Zbl 1205.37058 Avila, Artur; Lyubich, Mikhail 30 2008 A priori bounds for some infinitely renormalizable quadratics. II: Decorations. Zbl 1156.37311 Kahn, Jeremy; Lyubich, Mikhail 14 2008 Examples of Feigenbaum Julia sets with small Hausdorff dimension. Zbl 1173.37045 Avila, Artur; Lyubich, Mikhail 9 2006 Renormalization in the Hénon family. I: Universality but non-rigidity. Zbl 1098.37039 De Carvalho, A.; Lyubich, M.; Martens, M. 37 2005 Conformal and harmonic measures on laminations associated with rational maps. Zbl 1242.37032 Kaimanovich, Vadim A.; Lyubich, Mikhail 14 2005 Regular or stochastic dynamics in real analytic families of unimodal maps. Zbl 1050.37018 Avila, Artur; Lyubich, Mikhail; de Melo, Welington 42 2003 Almost every real quadratic map is either regular or stochastic. Zbl 1160.37356 Lyubich, Mikhail 67 2002 Laminations and foliations in dynamics, geometry and topology. Proceedings of the conference held at SUNY at Stony Brook, USA, May 18–24, 1998. Zbl 0959.00033 2 2001 Dynamics of quadratic polynomials. III: Parapuzzle and SRB measures. Zbl 1044.37038 Lyubich, Mikhail 19 2000 The quadratic family as a qualitatively solvable model of chaos. Zbl 1040.37032 Lyubich, Mikhail 8 2000 Feigenbaum-Coullet-Tresser universality and Milnor’s hairiness conjecture. Zbl 0945.37012 Lyubich, Mikhail 73 1999 How big is the set of infinitely renormalizable quadratics? Zbl 0910.58033 Lyubich, Mikhail 4 1998 Regular and stochastic dynamics in the real quadratic family. Zbl 0936.37020 Lyubich, Mikhail 1 1998 Dynamics of quadratic polynomials. I, II. Zbl 0908.58053 Lyubich, Mikhail 93 1997 Laminations in holomorphic dynamics. Zbl 0910.58032 Lyubich, Mikhail; Minsky, Yair 53 1997 Dynamics of quadratic polynomials: complex bounds for real maps. Zbl 0881.58053 Lyubich, Mikhail; Yampolsky, Michael 20 1997 A comparison of harmonic and balanced measures on Cantor repellors. Zbl 0891.58024 Lyubich, Mikhail; Volberg, Alexander 2 1995 Renormalization ideas in conformal dynamics. Zbl 0877.58046 Lyubich, Mikhail 2 1995 On the borderline of real and complex dynamics. Zbl 0847.58021 Lyubich, Mikhail 1 1995 Combinatorics, geometry and attractors of quasi-quadratic maps. Zbl 0821.58014 Lyubich, Mikhail 34 1994 Polynomial diffeomorphisms of \(\mathbb{C}^ 2\). IV: The measure of maximal entropy and laminar currents. Zbl 0792.58034 Bedford, Eric; Lyubich, Mikhail; Smillie, John 85 1993 The Fibonacci unimodal map. Zbl 0778.58040 Lyubich, Mikhail; Milnor, John 40 1993 Distribution of periodic points of polynomial diffeomorphisms of \(\mathbb{C}^ 2\). Zbl 0799.58039 Bedford, Eric; Lyubich, Mikhail; Smillie, John 33 1993 Milnor’s attractors persistent recurrence and renormalization. Zbl 0797.58050 Lyubich, Mikhail 3 1993 Dynamical properties of some classes of entire functions. Zbl 0735.58031 Eremenko, A.; Lyubich, M. 200 1992 Measurable dynamics of S-unimodal maps of the interval. Zbl 0790.58024 Blokh, A. M.; Lyubich, M. Yu. 44 1991 Julia sets and complex singularities in hierarchical Ising models. Zbl 0737.30019 Bleher, P. M.; Lyubich, M. Yu. 20 1991 The dynamics of analytic transformations. Zbl 0717.58029 Eremenko, A. Eh.; Lyubich, M. Yu. 27 1990 Measure and dimension of solenoidal attractors of one-dimensional dynamical systems. Zbl 0721.58033 Blokh, A. M.; Lyubich, M. Yu. 10 1990 An analysis of the stability of the dynamics of rational functions. Zbl 0697.30026 Lyubich, M. Yu. 6 1990 Measure of solenoidal attractors of unimodal maps of the segment. Zbl 0774.58026 Blokh, A. M.; Lyubich, M. Yu. 5 1990 On decomposition of one-dimensional dynamical systems into ergodic components. The case of negative Schwarzian. Zbl 0718.58024 Blokh, A. M.; Lyubich, M. Yu. 2 1990 Non-existence of wandering intervals and structure of topological attractors of one dimensional dynamical systems. II: The smooth case. Zbl 0665.58024 Blokh, A. M.; Lyubich, M. Yu. 24 1989 Non-existence of wandering intervals and structure of topological attractors of one dimensional dynamical systems. I: The case of negative Schwarzian derivative. Zbl 0665.58023 Lyubich, M. Yu. 21 1989 Dynamics of analytic transformations. Zbl 0712.58036 Eremenko, A. Eh.; Lyubich, M. Yu. 19 1989 Attractors of maps of the interval. Zbl 0698.58037 Blokh, A. M.; Lyubich, M. Yu. 5 1989 Ergodicity of transitive unimodal transformations of a segment. Zbl 0774.58018 Blokh, A. M.; Lyubich, M. Yu. 4 1989 Ergodic properties of transformations of an interval. Zbl 0704.58015 Blokh, A. M.; Lyubich, M. Yu. 2 1989 Absence of wandering intervals in one-dimensional smooth dynamical systems. Zbl 0676.58035 Blokh, A. M.; Lyubich, M. Yu. 1 1989 Free subgroups of \(SL_ 2({\mathbb{C}})\) with two parabolic generators. Zbl 0639.20025 Lyubich, M. Yu.; Suvorov, V. V. 1 1988 On typical behaviour of trajectories of transformations of a segment. Zbl 0666.58031 Blokh, A. M.; Lyubich, M. Yu. 1 1988 Examples of entire functions with pathological dynamics. Zbl 0601.30033 Eremenko, A. E.; Lyubich, M. Yu. 46 1987 The dynamics of rational transforms: the topological picture. Zbl 0619.30033 Lyubich, M. Yu. 38 1987 Measurable dynamics of the exponential. Zbl 0638.30026 Lyubich, M. Yu. 14 1987 Attractors of transformations of a closed interval. Zbl 0653.58022 Blokh, A. M.; Lyubich, M. Yu. 6 1987 Measurable dynamics of the exponential map. Zbl 0667.58037 Lyubich, M. Yu. 6 1987 Removal of the boundary spectrum for almost periodic operators and representations of semigroups. Zbl 0629.47033 Lyubich, M. Yu.; Lyubich, Yu. I. 6 1986 On the typical behaviour of trajectories of the exponent. Zbl 0617.30032 Lyubich, M. Yu. 2 1986 Perron-Frobenius theory for almost periodic operators and representations of semigroups. Zbl 0606.22002 Lyubich, M. Yu.; Lyubich, Yu. I. 1 1986 Structural stability in some families of entire functions. Zbl 0597.30032 Eremenko, A. Eh.; Lyubich, M. Yu. 2 1985 General form of nonnegative projections in a space of continuous functions on a compactum. Zbl 0685.47033 Lyubich, M. Yu.; Lyubich, Yu. I. 1 1985 Investigation of the stability of the dynamics of rational functions. Zbl 0572.30023 Lyubich, M. Yu. 11 1984 Iterates of entire functions. Zbl 0588.30027 Eremenko, A. Eh.; Lyubich, M. Yu. 11 1984 Spectral theory of almost periodic representations of semigroups. Zbl 0557.22006 Lyubich, M. Yu.; Lyubich, Yu. I. 2 1984 Entropy properties of rational endomorphisms of the Riemann sphere. Zbl 0537.58035 Lyubich, M. Yu. 123 1983 Some typical properties of the dynmics of rational maps. Zbl 0598.58028 Lyubich, M. Yu. 26 1983 Some generic properties of the dynamics of rational mappings. Zbl 0546.58033 Lyubich, M. Yu. 21 1983 On typical behavior of the trajectories of a rational mapping of the sphere. Zbl 0595.30034 Lyubich, M. Yu. 16 1983 The maximum-entropy measure of a rational endomorphism of the Riemann sphere. Zbl 0525.28021 Lyubich, M. Yu. 7 1983 Entropy of analytic endomorphisms of the Riemannian sphere. Zbl 0483.30032 Lyubich, M. Yu. 5 1982 all cited Publications top 5 cited Publications all top 5 Cited by 812 Authors 31 Lyubich, Mikhail 20 Bergweiler, Walter 20 Tien Cuong Dinh 19 Rempe-Gillen, Lasse 19 van Strien, Sebastian J. 18 Bruin, Henk 17 Yampolsky, Michael 16 Blokh, Alexander M. 15 Fagella, Núria 15 Schleicher, Dierk 14 Martens, Marco 14 Oversteegen, Lex G. 13 Dujardin, Romain 13 Przytycki, Feliks 13 Qiu, Weiyuan 13 Shen, Weixiao 13 Yin, Yongcheng 12 Bedford, Eric 12 Benini, Anna Miriam 12 Cabrera, Carlos 12 Levin, Genadi M. 12 Peters, Han 12 Sixsmith, David Jonathan 12 Urbański, Mariusz 11 Berteloot, François 11 de Melo, Welington 11 Makienko, Peter M. 11 Sibony, Nessim 10 Gao, Junyang 10 Okuyama, Yûsuke 9 Avila, Artur 9 Bianchi, Fabrizio 9 Gaidashev, Denis G. 9 Jarque, Xavier 9 Zdunik, Anna 8 Berger, Pierre 8 Eremenko, Alexandre Émmanuilovich 8 Hawkins, Jane M. 8 Langley, James K. 8 Mayer, Volker 8 Roeder, Roland K. W. 8 Świątek, Grzegorz 8 Timorin, Vladlen Anatol’evich 8 Wang, Yuefei 8 Yang, Fei 8 Zeng, Jinsong 7 Barański, Krzysztof 7 DeMarco, Laura Grace 7 Kawahira, Tomoki 7 Qiao, Jianyong 7 Rivera-Letelier, Juan 7 Sienra, Guillermo J. F. 7 Smania, Daniel 7 Sridharan, Shrihari 6 Bishop, Christopher James 6 de Thélin, Henry 6 Dobbs, Neil B. 6 Evdoridou, Vasiliki 6 Gauthier, Thomas 6 Graczyk, Jacek 6 Koss, Lorelei 6 Mukherjee, Sabyasachi 6 Palmisano, Liviana 6 Pardo-Simón, Leticia 6 Peng, Wenjuan 6 Rippon, Philip Jonathan 6 Smillie, John 6 Stallard, Gwyneth Mary 6 Todd, Mike 6 Zhang, Gaofei 5 Aspenberg, Magnus 5 Baladi, Viviane 5 Boc Thaler, Luka 5 Cantat, Serge 5 Clark, Trevor 5 Domínguez, Patricia 5 Dudko, Artem 5 Dupont, Christophe 5 Fornæss, John Erik 5 Guarino, Pablo 5 Hurder, Steven E. 5 Karpińska, Bogusława 5 Kim, Kyounghee 5 Lazebnik, Kirill Y. 5 Lei, Tan 5 Lukina, Olga 5 Pinheiro, Vilton 5 Prasad, M. Guru Prem 5 Taflin, Johan 5 Yorke, James Alan 5 Young, Lai-Sang 5 Zhai, Yu 5 Zheng, Jianhua 4 Astorg, Matthieu 4 Chandramouli, V. V. M. S. 4 Clark, Alex 4 Cui, Guizhen 4 Damanik, David 4 de Faria, Edson 4 Devaney, Robert L. ...and 712 more Authors all top 5 Cited in 184 Serials 77 Ergodic Theory and Dynamical Systems 51 Transactions of the American Mathematical Society 43 Communications in Mathematical Physics 34 Proceedings of the American Mathematical Society 33 Advances in Mathematics 33 Conformal Geometry and Dynamics 26 Inventiones Mathematicae 23 Journal of Mathematical Analysis and Applications 22 Nonlinearity 20 The Journal of Geometric Analysis 20 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 19 Discrete and Continuous Dynamical Systems 17 Journal d’Analyse Mathématique 17 Mathematische Annalen 16 Mathematische Zeitschrift 14 Israel Journal of Mathematics 12 Mathematical Proceedings of the Cambridge Philosophical Society 12 Annales de l’Institut Fourier 12 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 12 Journal of the American Mathematical Society 11 Journal of Statistical Physics 11 Journal of the European Mathematical Society (JEMS) 11 Science China. Mathematics 10 Duke Mathematical Journal 10 Topology and its Applications 10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 10 Geometric and Functional Analysis. GAFA 10 Arnold Mathematical Journal 9 Journal of Difference Equations and Applications 9 Chaos 9 Computational Methods and Function Theory 8 Chaos, Solitons and Fractals 8 Acta Mathematica 8 Fundamenta Mathematicae 8 Journal of the London Mathematical Society. Second Series 8 Bulletin of the American Mathematical Society. New Series 8 Annales Academiae Scientiarum Fennicae. Mathematica 8 Dynamical Systems 8 Journal of Modern Dynamics 7 Indian Journal of Pure & Applied Mathematics 7 Science in China. Series A 7 Journal of Dynamics and Differential Equations 7 Annals of Mathematics. Second Series 6 Arkiv för Matematik 6 International Journal of Mathematics 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Experimental Mathematics 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Physica D 5 Complex Analysis and Operator Theory 4 Journal of Mathematical Physics 4 Bulletin of the London Mathematical Society 4 Illinois Journal of Mathematics 4 Publications Mathématiques 4 Memoirs of the American Mathematical Society 4 Michigan Mathematical Journal 4 Acta Mathematica Sinica. English Series 4 Qualitative Theory of Dynamical Systems 4 Complex Variables and Elliptic Equations 3 Mathematical Notes 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Bulletin de la Société Mathématique de France 3 Indiana University Mathematics Journal 3 Journal of Soviet Mathematics 3 Monatshefte für Mathematik 3 Proceedings of the London Mathematical Society. Third Series 3 Tôhoku Mathematical Journal. Second Series 3 Bulletin of the Korean Mathematical Society 3 Publicacions Matemàtiques 3 Annales de l’Institut Henri Poincaré. Physique Théorique 3 Acta Mathematica Sinica. New Series 3 Indagationes Mathematicae. New Series 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Geometry & Topology 3 Annales Henri Poincaré 2 Bulletin of the Australian Mathematical Society 2 Rocky Mountain Journal of Mathematics 2 American Journal of Mathematics 2 Compositio Mathematica 2 Geometriae Dedicata 2 Journal of Approximation Theory 2 Journal of Differential Equations 2 Journal of Functional Analysis 2 Journal of Number Theory 2 Journal für die Reine und Angewandte Mathematik 2 Nagoya Mathematical Journal 2 Proceedings of the Japan Academy. Series A 2 Results in Mathematics 2 Theoretical Computer Science 2 Chinese Annals of Mathematics. Series B 2 IMRN. International Mathematics Research Notices 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Stochastic Processes and their Applications 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Bulletin of the Polish Academy of Sciences, Mathematics 2 Chinese Science Bulletin 2 Potential Analysis 2 Journal of Mathematical Sciences (New York) 2 Communications in Nonlinear Science and Numerical Simulation 2 Journal of the Australian Mathematical Society ...and 84 more Serials all top 5 Cited in 46 Fields 884 Dynamical systems and ergodic theory (37-XX) 317 Functions of a complex variable (30-XX) 136 Several complex variables and analytic spaces (32-XX) 50 Measure and integration (28-XX) 28 General topology (54-XX) 26 Probability theory and stochastic processes (60-XX) 26 Statistical mechanics, structure of matter (82-XX) 25 Manifolds and cell complexes (57-XX) 24 Number theory (11-XX) 23 Difference and functional equations (39-XX) 20 Algebraic geometry (14-XX) 19 Group theory and generalizations (20-XX) 17 Ordinary differential equations (34-XX) 13 Potential theory (31-XX) 13 Operator theory (47-XX) 13 Numerical analysis (65-XX) 12 Global analysis, analysis on manifolds (58-XX) 8 Real functions (26-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Differential geometry (53-XX) 8 Quantum theory (81-XX) 7 Combinatorics (05-XX) 7 Partial differential equations (35-XX) 7 Abstract harmonic analysis (43-XX) 6 Special functions (33-XX) 6 Biology and other natural sciences (92-XX) 5 General and overarching topics; collections (00-XX) 5 Computer science (68-XX) 5 Mechanics of particles and systems (70-XX) 4 Mathematical logic and foundations (03-XX) 4 Functional analysis (46-XX) 4 Convex and discrete geometry (52-XX) 3 Topological groups, Lie groups (22-XX) 3 Statistics (62-XX) 3 Information and communication theory, circuits (94-XX) 2 Field theory and polynomials (12-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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