Edit Profile (opens in new tab) Lyubich, Mikhail Compute Distance To: Compute Author ID: lyubich.mikhail Published as: Lyubich, Mikhail; Lyubich, M. Yu.; Lyubich, M.; Lyubich, Mikhail Yur’evich Further Spellings: Любич Михаил Юрьевич Homepage: http://www.math.stonybrook.edu/~mlyubich/ External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef Documents Indexed: 104 Publications since 1979, including 1 Book 8 Contributions as Editor Biographic References: 1 Publication Co-Authors: 55 Co-Authors with 77 Joint Publications 1,580 Co-Co-Authors all top 5 Co-Authors 35 single-authored 12 Blokh, Alexander M. 7 Avila Cordeiro de Melo, Artur 7 Lyubich, Yuriĭ Il’ich 6 Eremenko, Alexandre Émmanuilovich 6 Kahn, Jeremy Adam 5 Martens, Marco 3 Bleher, Pavel M. 3 Smillie, John 2 Bedford, Eric 2 Firsova, Tanya 2 Merenkov, Sergei 2 Milnor, John Willard 2 Minsky, Yair N. 2 Peters, Han 2 Radu, Remus 2 Roeder, Roland K. W. 2 Shen, Weixiao 2 Suvorov, V. V. 2 Tanase, Raluca 2 Volberg, Alexander Lvovich 2 Yampolsky, Michael 1 Azarin, Vladimir S. 1 Benini, Anna Miriam 1 Bonifant, Araceli M. 1 Bonk, Mario 1 de Melo, Welington 1 Dudko, Dzmitry 1 Dujardin, Romain 1 Eells, James jun. 1 Forni, Giovanni 1 Ghys, Étienne 1 Giner, V. B. 1 Hazard, P. E. 1 Ji, Lizhen 1 Kaimanovich, Vadim A. 1 Khanin, Konstantin M. 1 Lee, Seung-Yeop 1 Lyubich, Lilya 1 Makarov, Nikolai Georgievich 1 McMullen, Curtis Tracy 1 Mukherjee, Sabyasachi 1 Palis, Jacob jun. 1 Petersen, Carsten Lunde 1 Pugh, Charles Chapman 1 Rempe-Gillen, Lasse 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 Sutherland, Scott 1 Takhtajan, Leon Armenovich 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 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 Geometric and Functional Analysis. GAFA 2 Notices of the American Mathematical Society 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 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 Conformal Geometry and Dynamics 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 94 Dynamical systems and ergodic theory (37-XX) 30 Functions of a complex variable (30-XX) 10 Measure and integration (28-XX) 9 Several complex variables and analytic spaces (32-XX) 8 General and overarching topics; collections (00-XX) 7 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) 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) 2 Statistical mechanics, structure of matter (82-XX) 1 Potential theory (31-XX) 1 Partial differential equations (35-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 82 Publications have been cited 1,373 times in 836 Documents Cited by ▼ Year ▼ Dynamical properties of some classes of entire functions. Zbl 0735.58031Eremenko, A.; Lyubich, M. 174 1992 Entropy properties of rational endomorphisms of the Riemann sphere. Zbl 0537.58035Lyubich, M. Yu. 100 1983 Dynamics of quadratic polynomials. I, II. Zbl 0908.58053Lyubich, Mikhail 75 1997 Polynomial diffeomorphisms of \(\mathbb{C}^ 2\). IV: The measure of maximal entropy and laminar currents. Zbl 0792.58034Bedford, Eric; Lyubich, Mikhail; Smillie, John 74 1993 Feigenbaum-Coullet-Tresser universality and Milnor’s hairiness conjecture. Zbl 0945.37012Lyubich, Mikhail 59 1999 Almost every real quadratic map is either regular or stochastic. Zbl 1160.37356Lyubich, Mikhail 58 2002 Laminations in holomorphic dynamics. Zbl 0910.58032Lyubich, Mikhail; Minsky, Yair 44 1997 Measurable dynamics of S-unimodal maps of the interval. Zbl 0790.58024Blokh, A. M.; Lyubich, M. Yu. 40 1991 The Fibonacci unimodal map. Zbl 0778.58040Lyubich, Mikhail; Milnor, John 37 1993 Examples of entire functions with pathological dynamics. Zbl 0601.30033Eremenko, A. E.; Lyubich, M. Yu. 37 1987 Regular or stochastic dynamics in real analytic families of unimodal maps. Zbl 1050.37018Avila, Artur; Lyubich, Mikhail; de Melo, Welington 35 2003 Combinatorics, geometry and attractors of quasi-quadratic maps. Zbl 0821.58014Lyubich, Mikhail 33 1994 The dynamics of rational transforms: the topological picture. Zbl 0619.30033Lyubich, M. Yu. 32 1987 Renormalization in the Hénon family. I: Universality but non-rigidity. Zbl 1098.37039De Carvalho, A.; Lyubich, M.; Martens, M. 30 2005 The dynamics of analytic transformations. Zbl 0717.58029Eremenko, A. Eh.; Lyubich, M. Yu. 25 1990 Hausdorff dimension and conformal measures of Feigenbaum Julia sets. Zbl 1205.37058Avila, Artur; Lyubich, Mikhail 24 2008 Distribution of periodic points of polynomial diffeomorphisms of \(\mathbb{C}^ 2\). Zbl 0799.58039Bedford, Eric; Lyubich, Mikhail; Smillie, John 23 1993 Stability and bifurcations for dissipative polynomial automorphisms of \(\mathbb C^2\). Zbl 1337.37029Dujardin, Romain; Lyubich, Mikhail 22 2015 Non-existence of wandering intervals and structure of topological attractors of one dimensional dynamical systems. II: The smooth case. Zbl 0665.58024Blokh, A. M.; Lyubich, M. Yu. 20 1989 Dynamics of analytic transformations. Zbl 0712.58036Eremenko, A. Eh.; Lyubich, M. Yu. 19 1989 Combinatorial rigidity for unicritical polynomials. Zbl 1204.37047Avila, Artur; Kahn, Jeremy; Lyubich, Mikhail; Shen, Weixiao 19 2009 Julia sets and complex singularities in hierarchical Ising models. Zbl 0737.30019Bleher, P. M.; Lyubich, M. Yu. 19 1991 The quasi-additivity law in conformal geometry. Zbl 1203.30011Kahn, Jeremy; Lyubich, Mikhail 19 2009 Some generic properties of the dynamics of rational mappings. Zbl 0546.58033Lyubich, M. Yu. 18 1983 Non-existence of wandering intervals and structure of topological attractors of one dimensional dynamical systems. I: The case of negative Schwarzian derivative. Zbl 0665.58023Lyubich, M. Yu. 17 1989 Some typical properties of the dynmics of rational maps. Zbl 0598.58028Lyubich, M. Yu. 17 1983 Dynamics of quadratic polynomials: complex bounds for real maps. Zbl 0881.58053Lyubich, Mikhail; Yampolsky, Michael 16 1997 Dynamics of quadratic polynomials. III: Parapuzzle and SRB measures. Zbl 1044.37038Lyubich, Mikhail 15 2000 Classification of invariant Fatou components for dissipative Hénon maps. Zbl 1301.32013Lyubich, Mikhail; Peters, Han 15 2014 On typical behavior of the trajectories of a rational mapping of the sphere. Zbl 0595.30034Lyubich, M. Yu. 15 1983 Measurable dynamics of the exponential. Zbl 0638.30026Lyubich, M. Yu. 14 1987 Conformal and harmonic measures on laminations associated with rational maps. Zbl 1242.37032Kaimanovich, Vadim A.; Lyubich, Mikhail 13 2005 Renormalization in the Hénon family. II: The heteroclinic web. Zbl 1243.37035Lyubich, M.; Martens, M. 13 2011 Quasisymmetries of Sierpiński carpet Julia sets. Zbl 1358.37083Bonk, Mario; Lyubich, Mikhail; Merenkov, Sergei 12 2016 The full renormalization horseshoe for unimodal maps of higher degree: exponential contraction along hybrid classes. Zbl 1286.37047Avila, Artur; Lyubich, Mikhail 12 2011 Local connectivity of Julia sets for unicritical polynomials. Zbl 1180.37072Kahn, Jeremy; Lyubich, Mikhail 12 2009 A priori bounds for some infinitely renormalizable quadratics. II: Decorations. Zbl 1156.37311Kahn, Jeremy; Lyubich, Mikhail 10 2008 Measure and dimension of solenoidal attractors of one-dimensional dynamical systems. Zbl 0721.58033Blokh, A. M.; Lyubich, M. Yu. 9 1990 Investigation of the stability of the dynamics of rational functions. Zbl 0572.30023Lyubich, M. Yu. 9 1984 Iterates of entire functions. Zbl 0588.30027Eremenko, A. Eh.; Lyubich, M. Yu. 9 1984 Lee-Yang zeros for the DHL and 2D rational dynamics. I: Foliation of the physical cylinder. Zbl 1372.82011Bleher, Pavel; Lyubich, Mikhail; Roeder, Roland 9 2017 The quadratic family as a qualitatively solvable model of chaos. Zbl 1040.37032Lyubich, Mikhail 7 2000 Examples of Feigenbaum Julia sets with small Hausdorff dimension. Zbl 1173.37045Avila, Artur; Lyubich, Mikhail 7 2006 Attractors of transformations of a closed interval. Zbl 0653.58022Blokh, A. M.; Lyubich, M. Yu. 6 1987 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 1323.37029Benini, Anna Miriam; Lyubich, Mikhail 6 2014 Removal of the boundary spectrum for almost periodic operators and representations of semigroups. Zbl 0629.47033Lyubich, M. Yu.; Lyubich, Yu. I. 5 1986 Measurable dynamics of the exponential map. Zbl 0667.58037Lyubich, M. Yu. 5 1987 An analysis of the stability of the dynamics of rational functions. Zbl 0697.30026Lyubich, M. Yu. 5 1990 Renormalization of Hénon maps. Zbl 1253.37046Lyubich, M.; Martens, M. 5 2011 Measure of solenoidal attractors of unimodal maps of the segment. Zbl 0774.58026Blokh, A. M.; Lyubich, M. Yu. 5 1990 A priori bounds for some infinitely renormalizable quadratics. III: Molecules. Zbl 1180.37069Kahn, Jeremy; Lyubich, Mikhail 5 2009 Parapuzzle of the Multibrot set and typical dynamics of unimodal maps. Zbl 1213.37076Avila, Artur; Lyubich, Mikhail; Shen, Weixiao 5 2011 Attractors of maps of the interval. Zbl 0698.58037Blokh, A. M.; Lyubich, M. Yu. 4 1989 Entropy of analytic endomorphisms of the Riemannian sphere. Zbl 0483.30032Lyubich, M. Yu. 4 1982 How big is the set of infinitely renormalizable quadratics? Zbl 0910.58033Lyubich, Mikhail 4 1998 A note on hyperbolic leaves and wild laminations of rational functions. Zbl 1198.30031Kahn, Jeremy; Lyubich, Mikhail; Rempe, Lasse 4 2010 On decomposition of one-dimensional dynamical systems into ergodic components. The case of negative Schwarzian. Zbl 0718.58024Blokh, A. M.; Lyubich, M. Yu. 3 1990 The maximum-entropy measure of a rational endomorphism of the Riemann sphere. Zbl 0525.28021Lyubich, M. Yu. 3 1983 Milnor’s attractors persistent recurrence and renormalization. Zbl 0797.58050Lyubich, Mikhail 3 1993 Ergodicity of transitive unimodal transformations of a segment. Zbl 0774.58018Blokh, A. M.; Lyubich, M. Yu. 3 1989 On the typical behaviour of trajectories of the exponent. Zbl 0617.30032Lyubich, M. Yu. 2 1986 Ergodic properties of transformations of an interval. Zbl 0704.58015Blokh, A. M.; Lyubich, M. Yu. 2 1989 A comparison of harmonic and balanced measures on Cantor repellors. Zbl 0891.58024Lyubich, Mikhail; Volberg, Alexander 2 1995 Spectral theory of almost periodic representations of semigroups. Zbl 0557.22006Lyubich, M. Yu.; Lyubich, Yu. I. 2 1984 Structural stability in some families of entire functions. Zbl 0597.30032Eremenko, A. Eh.; Lyubich, M. Yu. 2 1985 Renormalization ideas in conformal dynamics. Zbl 0877.58046Lyubich, Mikhail 2 1995 Forty years of unimodal dynamics: on the occasion of Artur Avila winning the Brin Prize. Zbl 1280.37036Lyubich, Mikhail 2 2012 Renormalizable Hénon-like maps and unbounded geometry. Zbl 1268.37060Hazard, P. E.; Lyubich, M.; Martens, M. 2 2012 Lee-Yang-Fisher zeros for the DHL and 2D rational dynamics. II: Global pluripotential interpretation. Zbl 1437.82003Bleher, Pavel; Lyubich, Mikhail; Roeder, Roland 2 2020 Regular and stochastic dynamics in the real quadratic family. Zbl 0936.37020Lyubich, Mikhail 1 1998 On typical behaviour of trajectories of transformations of a segment. Zbl 0666.58031Blokh, A. M.; Lyubich, M. Yu. 1 1988 Absence of wandering intervals in one-dimensional smooth dynamical systems. Zbl 0676.58035Blokh, A. M.; Lyubich, M. Yu. 1 1989 General form of nonnegative projections in a space of continuous functions on a compactum. Zbl 0685.47033Lyubich, M. Yu.; Lyubich, Yu. I. 1 1985 On the borderline of real and complex dynamics. Zbl 0847.58021Lyubich, Mikhail 1 1995 Perron-Frobenius theory for almost periodic operators and representations of semigroups. Zbl 0606.22002Lyubich, M. Yu.; Lyubich, Yu. I. 1 1986 Quasisymmetries of the basilica and the Thompson group. Zbl 06910251Lyubich, Mikhail; Merenkov, Sergei 1 2018 Frontiers in complex dynamics. In celebration of John Milnor’s 80th birthday. Based on a conference, Banff, Canada, February 2011. Zbl 1285.37001 1 2014 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 1 2001 Pacman renormalization and self-similarity of the Mandelbrot set near Siegel parameters. Zbl 1457.37061Dudko, Dzmitry; Lyubich, Mikhail; Selinger, Nikita 1 2020 Probabilistic universality in two-dimensional dynamics. Zbl 1475.37046Lyubich, Mikhail Yur’evich; Martens, Marco 1 2021 Hedgehogs in higher dimensions and their applications. Zbl 1472.32003Lyubich, Mikhail; Radu, Remus; Tanase, Raluca 1 2020 Schwarz reflections and anti-holomorphic correspondences. Zbl 1469.30017Lee, Seung-Yeop; Lyubich, Mikhail; Makarov, Nikolai G.; Mukherjee, Sabyasachi 1 2021 Probabilistic universality in two-dimensional dynamics. Zbl 1475.37046Lyubich, Mikhail Yur’evich; Martens, Marco 1 2021 Schwarz reflections and anti-holomorphic correspondences. Zbl 1469.30017Lee, Seung-Yeop; Lyubich, Mikhail; Makarov, Nikolai G.; Mukherjee, Sabyasachi 1 2021 Lee-Yang-Fisher zeros for the DHL and 2D rational dynamics. II: Global pluripotential interpretation. Zbl 1437.82003Bleher, Pavel; Lyubich, Mikhail; Roeder, Roland 2 2020 Pacman renormalization and self-similarity of the Mandelbrot set near Siegel parameters. Zbl 1457.37061Dudko, Dzmitry; Lyubich, Mikhail; Selinger, Nikita 1 2020 Hedgehogs in higher dimensions and their applications. Zbl 1472.32003Lyubich, Mikhail; Radu, Remus; Tanase, Raluca 1 2020 Quasisymmetries of the basilica and the Thompson group. Zbl 06910251Lyubich, Mikhail; Merenkov, Sergei 1 2018 Lee-Yang zeros for the DHL and 2D rational dynamics. I: Foliation of the physical cylinder. Zbl 1372.82011Bleher, Pavel; Lyubich, Mikhail; Roeder, Roland 9 2017 Quasisymmetries of Sierpiński carpet Julia sets. Zbl 1358.37083Bonk, Mario; Lyubich, Mikhail; Merenkov, Sergei 12 2016 Stability and bifurcations for dissipative polynomial automorphisms of \(\mathbb C^2\). Zbl 1337.37029Dujardin, Romain; Lyubich, Mikhail 22 2015 Classification of invariant Fatou components for dissipative Hénon maps. Zbl 1301.32013Lyubich, Mikhail; Peters, Han 15 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 1323.37029Benini, Anna Miriam; Lyubich, Mikhail 6 2014 Frontiers in complex dynamics. In celebration of John Milnor’s 80th birthday. Based on a conference, Banff, Canada, February 2011. Zbl 1285.37001 1 2014 Forty years of unimodal dynamics: on the occasion of Artur Avila winning the Brin Prize. Zbl 1280.37036Lyubich, Mikhail 2 2012 Renormalizable Hénon-like maps and unbounded geometry. Zbl 1268.37060Hazard, P. E.; Lyubich, M.; Martens, M. 2 2012 Renormalization in the Hénon family. II: The heteroclinic web. Zbl 1243.37035Lyubich, M.; Martens, M. 13 2011 The full renormalization horseshoe for unimodal maps of higher degree: exponential contraction along hybrid classes. Zbl 1286.37047Avila, Artur; Lyubich, Mikhail 12 2011 Renormalization of Hénon maps. Zbl 1253.37046Lyubich, M.; Martens, M. 5 2011 Parapuzzle of the Multibrot set and typical dynamics of unimodal maps. Zbl 1213.37076Avila, Artur; Lyubich, Mikhail; Shen, Weixiao 5 2011 A note on hyperbolic leaves and wild laminations of rational functions. Zbl 1198.30031Kahn, Jeremy; Lyubich, Mikhail; Rempe, Lasse 4 2010 Combinatorial rigidity for unicritical polynomials. Zbl 1204.37047Avila, Artur; Kahn, Jeremy; Lyubich, Mikhail; Shen, Weixiao 19 2009 The quasi-additivity law in conformal geometry. Zbl 1203.30011Kahn, Jeremy; Lyubich, Mikhail 19 2009 Local connectivity of Julia sets for unicritical polynomials. Zbl 1180.37072Kahn, Jeremy; Lyubich, Mikhail 12 2009 A priori bounds for some infinitely renormalizable quadratics. III: Molecules. Zbl 1180.37069Kahn, Jeremy; Lyubich, Mikhail 5 2009 Hausdorff dimension and conformal measures of Feigenbaum Julia sets. Zbl 1205.37058Avila, Artur; Lyubich, Mikhail 24 2008 A priori bounds for some infinitely renormalizable quadratics. II: Decorations. Zbl 1156.37311Kahn, Jeremy; Lyubich, Mikhail 10 2008 Examples of Feigenbaum Julia sets with small Hausdorff dimension. Zbl 1173.37045Avila, Artur; Lyubich, Mikhail 7 2006 Renormalization in the Hénon family. I: Universality but non-rigidity. Zbl 1098.37039De Carvalho, A.; Lyubich, M.; Martens, M. 30 2005 Conformal and harmonic measures on laminations associated with rational maps. Zbl 1242.37032Kaimanovich, Vadim A.; Lyubich, Mikhail 13 2005 Regular or stochastic dynamics in real analytic families of unimodal maps. Zbl 1050.37018Avila, Artur; Lyubich, Mikhail; de Melo, Welington 35 2003 Almost every real quadratic map is either regular or stochastic. Zbl 1160.37356Lyubich, Mikhail 58 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 1 2001 Dynamics of quadratic polynomials. III: Parapuzzle and SRB measures. Zbl 1044.37038Lyubich, Mikhail 15 2000 The quadratic family as a qualitatively solvable model of chaos. Zbl 1040.37032Lyubich, Mikhail 7 2000 Feigenbaum-Coullet-Tresser universality and Milnor’s hairiness conjecture. Zbl 0945.37012Lyubich, Mikhail 59 1999 How big is the set of infinitely renormalizable quadratics? Zbl 0910.58033Lyubich, Mikhail 4 1998 Regular and stochastic dynamics in the real quadratic family. Zbl 0936.37020Lyubich, Mikhail 1 1998 Dynamics of quadratic polynomials. I, II. Zbl 0908.58053Lyubich, Mikhail 75 1997 Laminations in holomorphic dynamics. Zbl 0910.58032Lyubich, Mikhail; Minsky, Yair 44 1997 Dynamics of quadratic polynomials: complex bounds for real maps. Zbl 0881.58053Lyubich, Mikhail; Yampolsky, Michael 16 1997 A comparison of harmonic and balanced measures on Cantor repellors. Zbl 0891.58024Lyubich, Mikhail; Volberg, Alexander 2 1995 Renormalization ideas in conformal dynamics. Zbl 0877.58046Lyubich, Mikhail 2 1995 On the borderline of real and complex dynamics. Zbl 0847.58021Lyubich, Mikhail 1 1995 Combinatorics, geometry and attractors of quasi-quadratic maps. Zbl 0821.58014Lyubich, Mikhail 33 1994 Polynomial diffeomorphisms of \(\mathbb{C}^ 2\). IV: The measure of maximal entropy and laminar currents. Zbl 0792.58034Bedford, Eric; Lyubich, Mikhail; Smillie, John 74 1993 The Fibonacci unimodal map. Zbl 0778.58040Lyubich, Mikhail; Milnor, John 37 1993 Distribution of periodic points of polynomial diffeomorphisms of \(\mathbb{C}^ 2\). Zbl 0799.58039Bedford, Eric; Lyubich, Mikhail; Smillie, John 23 1993 Milnor’s attractors persistent recurrence and renormalization. Zbl 0797.58050Lyubich, Mikhail 3 1993 Dynamical properties of some classes of entire functions. Zbl 0735.58031Eremenko, A.; Lyubich, M. 174 1992 Measurable dynamics of S-unimodal maps of the interval. Zbl 0790.58024Blokh, A. M.; Lyubich, M. Yu. 40 1991 Julia sets and complex singularities in hierarchical Ising models. Zbl 0737.30019Bleher, P. M.; Lyubich, M. Yu. 19 1991 The dynamics of analytic transformations. Zbl 0717.58029Eremenko, A. Eh.; Lyubich, M. Yu. 25 1990 Measure and dimension of solenoidal attractors of one-dimensional dynamical systems. Zbl 0721.58033Blokh, A. M.; Lyubich, M. Yu. 9 1990 An analysis of the stability of the dynamics of rational functions. Zbl 0697.30026Lyubich, M. Yu. 5 1990 Measure of solenoidal attractors of unimodal maps of the segment. Zbl 0774.58026Blokh, A. M.; Lyubich, M. Yu. 5 1990 On decomposition of one-dimensional dynamical systems into ergodic components. The case of negative Schwarzian. Zbl 0718.58024Blokh, A. M.; Lyubich, M. Yu. 3 1990 Non-existence of wandering intervals and structure of topological attractors of one dimensional dynamical systems. II: The smooth case. Zbl 0665.58024Blokh, A. M.; Lyubich, M. Yu. 20 1989 Dynamics of analytic transformations. Zbl 0712.58036Eremenko, A. Eh.; Lyubich, M. Yu. 19 1989 Non-existence of wandering intervals and structure of topological attractors of one dimensional dynamical systems. I: The case of negative Schwarzian derivative. Zbl 0665.58023Lyubich, M. Yu. 17 1989 Attractors of maps of the interval. Zbl 0698.58037Blokh, A. M.; Lyubich, M. Yu. 4 1989 Ergodicity of transitive unimodal transformations of a segment. Zbl 0774.58018Blokh, A. M.; Lyubich, M. Yu. 3 1989 Ergodic properties of transformations of an interval. Zbl 0704.58015Blokh, A. M.; Lyubich, M. Yu. 2 1989 Absence of wandering intervals in one-dimensional smooth dynamical systems. Zbl 0676.58035Blokh, A. M.; Lyubich, M. Yu. 1 1989 On typical behaviour of trajectories of transformations of a segment. Zbl 0666.58031Blokh, A. M.; Lyubich, M. Yu. 1 1988 Examples of entire functions with pathological dynamics. Zbl 0601.30033Eremenko, A. E.; Lyubich, M. Yu. 37 1987 The dynamics of rational transforms: the topological picture. Zbl 0619.30033Lyubich, M. Yu. 32 1987 Measurable dynamics of the exponential. Zbl 0638.30026Lyubich, M. Yu. 14 1987 Attractors of transformations of a closed interval. Zbl 0653.58022Blokh, A. M.; Lyubich, M. Yu. 6 1987 Measurable dynamics of the exponential map. Zbl 0667.58037Lyubich, M. Yu. 5 1987 Removal of the boundary spectrum for almost periodic operators and representations of semigroups. Zbl 0629.47033Lyubich, M. Yu.; Lyubich, Yu. I. 5 1986 On the typical behaviour of trajectories of the exponent. Zbl 0617.30032Lyubich, M. Yu. 2 1986 Perron-Frobenius theory for almost periodic operators and representations of semigroups. Zbl 0606.22002Lyubich, M. Yu.; Lyubich, Yu. I. 1 1986 Structural stability in some families of entire functions. Zbl 0597.30032Eremenko, A. Eh.; Lyubich, M. Yu. 2 1985 General form of nonnegative projections in a space of continuous functions on a compactum. Zbl 0685.47033Lyubich, M. Yu.; Lyubich, Yu. I. 1 1985 Investigation of the stability of the dynamics of rational functions. Zbl 0572.30023Lyubich, M. Yu. 9 1984 Iterates of entire functions. Zbl 0588.30027Eremenko, A. Eh.; Lyubich, M. Yu. 9 1984 Spectral theory of almost periodic representations of semigroups. Zbl 0557.22006Lyubich, M. Yu.; Lyubich, Yu. I. 2 1984 Entropy properties of rational endomorphisms of the Riemann sphere. Zbl 0537.58035Lyubich, M. Yu. 100 1983 Some generic properties of the dynamics of rational mappings. Zbl 0546.58033Lyubich, M. Yu. 18 1983 Some typical properties of the dynmics of rational maps. Zbl 0598.58028Lyubich, M. Yu. 17 1983 On typical behavior of the trajectories of a rational mapping of the sphere. Zbl 0595.30034Lyubich, M. Yu. 15 1983 The maximum-entropy measure of a rational endomorphism of the Riemann sphere. Zbl 0525.28021Lyubich, M. Yu. 3 1983 Entropy of analytic endomorphisms of the Riemannian sphere. Zbl 0483.30032Lyubich, M. Yu. 4 1982 all cited Publications top 5 cited Publications all top 5 Cited by 669 Authors 29 Lyubich, Mikhail 19 Bergweiler, Walter 18 Bruin, Henk 17 Rempe-Gillen, Lasse 17 van Strien, Sebastian J. 16 Tien Cuong Dinh 15 Yampolsky, Michael 14 Martens, Marco 13 Cabrera, Carlos 13 Shen, Weixiao 12 Yin, Yongcheng 11 Bedford, Eric 11 Fagella, Núria 11 Qiu, Weiyuan 11 Schleicher, Dierk 11 Sibony, Nessim 11 Urbański, Mariusz 10 Blokh, Alexander M. 10 de Melo, Welington 10 Dujardin, Romain 10 Gao, Junyang 10 Levin, Genadi M. 10 Makienko, Peter M. 10 Peters, Han 10 Przytycki, Feliks 10 Sixsmith, David Jonathan 9 Benini, Anna Miriam 9 Oversteegen, Lex G. 8 Avila Cordeiro de Melo, Artur 8 Berteloot, François 8 Eremenko, Alexandre Émmanuilovich 8 Gaidashev, Denis G. 8 Hawkins, Jane M. 8 Jarque, Xavier 8 Roeder, Roland K. W. 8 Zdunik, Anna 7 Kawahira, Tomoki 7 Langley, James K. 7 Mayer, Volker 7 Okuyama, Yûsuke 7 Qiao, Jianyong 7 Rivera-Letelier, Juan 7 Świątek, Grzegorz 7 Wang, Yuefei 7 Yang, Fei 6 Berger, Pierre 6 Palmisano, Liviana 6 Peng, Wenjuan 6 Smillie, John 6 Sridharan, Shrihari 5 Baladi, Viviane 5 Barański, Krzysztof 5 Bianchi, Fabrizio 5 Bishop, Christopher James 5 de Thélin, Henry 5 DeMarco, Laura Grace 5 Hurder, Steven E. 5 Koss, Lorelei 5 Lei, Tan 5 Lukina, Olga 5 Prasad, M. Guru Prem 5 Sienra, Guillermo J. F. 5 Smania, Daniel 5 Taflin, Johan 5 Todd, Mike 5 Yorke, James Alan 5 Young, Lai-Sang 5 Zeng, Jinsong 5 Zhai, Yu 5 Zhang, Gaofei 4 Boc Thaler, Luka 4 Cantat, Serge 4 Clark, Alex 4 Damanik, David 4 Devaney, Robert L. 4 Diller, Jeffrey 4 Dobbs, Neil B. 4 Domínguez, Patricia 4 Dudko, Artem 4 Dupont, Christophe 4 Fornæss, John Erik 4 Galias, Zbigniew 4 Gauthier, Thomas 4 Graczyk, Jacek 4 Guarino, Pablo 4 Guedj, Vincent 4 Hubbard, John Hamal 4 Iommi, Godofredo 4 Jiménez López, Víctor 4 Kim, Kyounghee 4 Luzzatto, Stefano 4 Martí-Pete, David 4 McMullen, Curtis Tracy 4 Mihaljević, Helena 4 Nowicki, Tomasz 4 Palis, Jacob jun. 4 Peter, Jörn 4 Petersen, Carsten Lunde 4 Pollicott, Mark 4 Raissy, Jasmin ...and 569 more Authors all top 5 Cited in 160 Serials 55 Ergodic Theory and Dynamical Systems 48 Transactions of the American Mathematical Society 42 Communications in Mathematical Physics 32 Proceedings of the American Mathematical Society 30 Conformal Geometry and Dynamics 26 Advances in Mathematics 24 Inventiones Mathematicae 22 Journal of Mathematical Analysis and Applications 18 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 17 Discrete and Continuous Dynamical Systems 15 Journal d’Analyse Mathématique 15 Mathematische Annalen 15 The Journal of Geometric Analysis 14 Mathematische Zeitschrift 12 Israel Journal of Mathematics 12 Annales de l’Institut Fourier 12 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 11 Journal of the American Mathematical Society 11 Science China. Mathematics 10 Mathematical Proceedings of the Cambridge Philosophical Society 10 Topology and its Applications 10 Journal of the European Mathematical Society (JEMS) 9 Journal of Statistical Physics 9 Duke Mathematical Journal 9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 9 Chaos 8 Acta Mathematica 8 Geometric and Functional Analysis. GAFA 8 Dynamical Systems 8 Computational Methods and Function Theory 7 Indian Journal of Pure & Applied Mathematics 7 Nonlinearity 7 Science in China. Series A 7 Bulletin of the American Mathematical Society. New Series 7 Journal of Difference Equations and Applications 7 Annals of Mathematics. Second Series 7 Arnold Mathematical Journal 6 Arkiv för Matematik 6 International Journal of Mathematics 6 Journal of Dynamics and Differential Equations 6 Annales Academiae Scientiarum Fennicae. Mathematica 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Journal of Modern Dynamics 5 Chaos, Solitons and Fractals 5 Physica D 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Experimental Mathematics 5 Complex Analysis and Operator Theory 4 Journal of Mathematical Physics 4 Fundamenta Mathematicae 4 Illinois Journal of Mathematics 4 Journal of the London Mathematical Society. Second Series 4 Acta Mathematica Sinica. English Series 4 Complex Variables and Elliptic Equations 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Publications Mathématiques 3 Journal of Soviet Mathematics 3 Memoirs of the American Mathematical Society 3 Michigan Mathematical Journal 3 Monatshefte für Mathematik 3 Tohoku Mathematical Journal. Second Series 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 Annales Henri Poincaré 3 Qualitative Theory of Dynamical Systems 2 Bulletin of the Australian Mathematical Society 2 Mathematical Notes 2 Rocky Mountain Journal of Mathematics 2 Journal of Differential Equations 2 Journal of Functional Analysis 2 Journal of Number Theory 2 Nagoya Mathematical Journal 2 Proceedings of the Japan Academy. Series A 2 Results in Mathematics 2 Theoretical Computer Science 2 Bulletin of the Korean Mathematical Society 2 Chinese Annals of Mathematics. Series B 2 IMRN. International Mathematics Research Notices 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Chinese Science Bulletin 2 Potential Analysis 2 Geometry & Topology 2 Journal of the Australian Mathematical Society 2 Stochastics and Dynamics 2 Advances in Difference Equations 2 Journal of Fixed Point Theory and Applications 2 Frontiers of Mathematics in China 2 Groups, Geometry, and Dynamics 2 Analysis and Mathematical Physics 2 Communications in Mathematics and Statistics 1 Communications on Pure and Applied Mathematics 1 Mathematical Biosciences 1 Physics Letters. A 1 Reviews in Mathematical Physics 1 Acta Mathematica Vietnamica 1 American Journal of Mathematics 1 Applied Mathematics and Computation ...and 60 more Serials all top 5 Cited in 40 Fields 733 Dynamical systems and ergodic theory (37-XX) 265 Functions of a complex variable (30-XX) 117 Several complex variables and analytic spaces (32-XX) 40 Measure and integration (28-XX) 24 General topology (54-XX) 23 Probability theory and stochastic processes (60-XX) 23 Statistical mechanics, structure of matter (82-XX) 19 Number theory (11-XX) 18 Manifolds and cell complexes (57-XX) 17 Algebraic geometry (14-XX) 17 Difference and functional equations (39-XX) 16 Group theory and generalizations (20-XX) 15 Ordinary differential equations (34-XX) 11 Global analysis, analysis on manifolds (58-XX) 11 Numerical analysis (65-XX) 10 Operator theory (47-XX) 9 Potential theory (31-XX) 8 Real functions (26-XX) 7 Differential geometry (53-XX) 6 Combinatorics (05-XX) 6 Partial differential equations (35-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Computer science (68-XX) 5 Mechanics of particles and systems (70-XX) 5 Quantum theory (81-XX) 5 Biology and other natural sciences (92-XX) 4 General and overarching topics; collections (00-XX) 4 Special functions (33-XX) 4 Abstract harmonic analysis (43-XX) 4 Functional analysis (46-XX) 3 Mathematical logic and foundations (03-XX) 3 Topological groups, Lie groups (22-XX) 2 Convex and discrete geometry (52-XX) 2 Statistics (62-XX) 2 Operations research, mathematical programming (90-XX) 1 Commutative algebra (13-XX) 1 Sequences, series, summability (40-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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