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Author ID: lyubich.mikhail Recent zbMATH articles by "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
all top 5

Co-Authors

41 single-authored
13 Blokh, Alexander M.
8 Eremenko, Alexandre Émmanuilovich
7 Avila, Artur
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 Belitskii, Genrich R.
1 Benini, Anna Miriam
1 Bielefeld, Ben
1 Bonifant, Araceli M.
1 Bonk, Mario
1 Brudnyi, Yuri A.
1 Carleson, Lennart
1 Crovisier, Sylvain
1 Dang, Nguyen-Bac
1 de Melo, Welington
1 Devaney, Robert L.
1 Eells, James jun.
1 Fel’dman, Gennadiĭ Mikhaĭlovich
1 Forni, Giovanni
1 Ghys, Étienne
1 Giner, V. B.
1 Grigorchuk, Rostislav Ivanovich
1 Hazard, P. E.
1 Ji, Lizhen
1 Jitomirskaya, Svetlana Yakovlevna
1 Kaimanovich, Vadim A.
1 Khanin, Konstantin M.
1 Kirillov, A. A. senior
1 Kirzhner, Valery M.
1 Kuchment, Peter A.
1 Lin, Vladimir Ya.
1 Lodge, Russell
1 Lyubich, Lilya
1 Marchenko, Vladimir Aleksandrovich
1 Markus, Alexander S.
1 Mazor, Jacob
1 Milman, Vitali D.
1 Mityagin, Boris Samuilovich
1 Nikol’skiĭ, Nikolaĭ Kapitonovich
1 Ntalampekos, Dimitrios
1 Palis, Jacob jun.
1 Pastur, Leonid Andreevich
1 Petersen, Carsten Lunde
1 Pinchover, Yehuda
1 Pokrovskiĭ, Valeriĭ Leonidovich
1 Przytycki, Feliks
1 Pugh, Charles Chapman
1 Pujals, Enrique Ramiro
1 Rees, Mary
1 Reich, Simeon
1 Rempe-Gillen, Lasse
1 Robertson, John W.
1 Salles de Carvalho, André
1 Schleicher, Dierk
1 Seade, Jose Antonio
1 Selinger, Nikita
1 Shatalova, Oksana A.
1 Shub, Michael
1 Siggia, Eric D.
1 Sinaĭ, Yakov Grigor’evich
1 Sodin, Mikhail
1 Spitkovsky, Ilya Matvey
1 Takhtajan, Leon Armenovich
1 Tomilov, Yuri
1 Vershik, Anatoliĭ Moiseevich
1 Yang, Jonguk
1 Yau, Shing-Tung
1 Zaidenberg, Mikhail G.
1 Zhitomirskiĭ, Yakov Isaakovich
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 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
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 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 Journal of Mathematical Physics, Analysis, Geometry
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
1 Arnold Mathematical Journal

Publications by Year

Citations contained in zbMATH Open

91 Publications have been cited 1,760 times in 1,048 Documents Cited by Year
Dynamical properties of some classes of entire functions. Zbl 0735.58031
Eremenko, A.; Lyubich, M.
204
1992
Entropy properties of rational endomorphisms of the Riemann sphere. Zbl 0537.58035
Lyubich, M. Yu.
134
1983
Dynamics of quadratic polynomials. I, II. Zbl 0908.58053
Lyubich, Mikhail
96
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
88
1993
Feigenbaum-Coullet-Tresser universality and Milnor’s hairiness conjecture. Zbl 0945.37012
Lyubich, Mikhail
75
1999
Almost every real quadratic map is either regular or stochastic. Zbl 1160.37356
Lyubich, Mikhail
68
2002
Laminations in holomorphic dynamics. Zbl 0910.58032
Lyubich, Mikhail; Minsky, Yair
54
1997
The dynamics of rational transforms: the topological picture. Zbl 0619.30033
Lyubich, M. Yu.
47
1987
Examples of entire functions with pathological dynamics. Zbl 0601.30033
Eremenko, A. E.; Lyubich, M. Yu.
47
1987
Measurable dynamics of S-unimodal maps of the interval. Zbl 0790.58024
Blokh, A. M.; Lyubich, M. Yu.
46
1991
Regular or stochastic dynamics in real analytic families of unimodal maps. Zbl 1050.37018
Avila, Artur; Lyubich, Mikhail; de Melo, Welington
45
2003
The Fibonacci unimodal map. Zbl 0778.58040
Lyubich, Mikhail; Milnor, John
41
1993
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
34
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
29
2015
Combinatorial rigidity for unicritical polynomials. Zbl 1204.37047
Avila, Artur; Kahn, Jeremy; Lyubich, Mikhail; Shen, Weixiao
28
2009
The dynamics of analytic transformations. Zbl 0717.58029
Eremenko, A. Eh.; Lyubich, M. Yu.
27
1990
The quasi-additivity law in conformal geometry. Zbl 1203.30011
Kahn, Jeremy; Lyubich, Mikhail
26
2009
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.
25
1983
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.
22
1989
Julia sets and complex singularities in hierarchical Ising models. Zbl 0737.30019
Bleher, P. M.; Lyubich, M. Yu.
21
1991
Dynamics of quadratic polynomials. III: Parapuzzle and SRB measures. Zbl 1044.37038
Lyubich, Mikhail
20
2000
Dynamics of quadratic polynomials: complex bounds for real maps. Zbl 0881.58053
Lyubich, Mikhail; Yampolsky, Michael
20
1997
Classification of invariant Fatou components for dissipative Hénon maps. Zbl 1301.32013
Lyubich, Mikhail; Peters, Han
20
2014
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
19
2011
Local connectivity of Julia sets for unicritical polynomials. Zbl 1180.37072
Kahn, Jeremy; Lyubich, Mikhail
17
2009
Quasisymmetries of Sierpiński carpet Julia sets. Zbl 1358.37083
Bonk, Mario; Lyubich, Mikhail; Merenkov, Sergei
16
2016
Renormalization in the Hénon family. II: The heteroclinic web. Zbl 1243.37035
Lyubich, M.; Martens, M.
16
2011
On typical behavior of the trajectories of a rational mapping of the sphere. Zbl 0595.30034
Lyubich, M. Yu.
16
1983
Conformal and harmonic measures on laminations associated with rational maps. Zbl 1242.37032
Kaimanovich, Vadim A.; Lyubich, Mikhail
14
2005
Measurable dynamics of the exponential. Zbl 0638.30026
Lyubich, M. Yu.
14
1987
A priori bounds for some infinitely renormalizable quadratics. II: Decorations. Zbl 1156.37311
Kahn, Jeremy; Lyubich, Mikhail
14
2008
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
12
2017
Investigation of the stability of the dynamics of rational functions. Zbl 0572.30023
Lyubich, M. Yu.
12
1984
Iterates of entire functions. Zbl 0588.30027
Eremenko, A. Eh.; Lyubich, M. Yu.
12
1984
Parapuzzle of the Multibrot set and typical dynamics of unimodal maps. Zbl 1213.37076
Avila, Artur; Lyubich, Mikhail; Shen, Weixiao
11
2011
A priori bounds for some infinitely renormalizable quadratics. III: Molecules. Zbl 1180.37069
Kahn, Jeremy; Lyubich, Mikhail
11
2009
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
The maximum-entropy measure of a rational endomorphism of the Riemann sphere. Zbl 0525.28021
Lyubich, M. Yu.
10
1983
Measure and dimension of solenoidal attractors of one-dimensional dynamical systems. Zbl 0721.58033
Blokh, A. M.; Lyubich, M. Yu.
10
1990
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
An analysis of the stability of the dynamics of rational functions. Zbl 0697.30026
Lyubich, M. Yu.
7
1990
Lebesgue measure of Feigenbaum Julia sets. Zbl 1494.37026
Avila, Artur; Lyubich, Mikhail
7
2022
Attractors of maps of the interval. Zbl 0698.58037
Blokh, A. M.; Lyubich, M. Yu.
6
1989
Renormalization of Hénon maps. Zbl 1253.37046
Lyubich, M.; Martens, M.
6
2011
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
Entropy of analytic endomorphisms of the Riemannian sphere. Zbl 0483.30032
Lyubich, M. Yu.
6
1982
Lee-Yang-Fisher zeros for the DHL and 2D rational dynamics. II: Global pluripotential interpretation. Zbl 1437.82003
Bleher, Pavel; Lyubich, Mikhail; Roeder, Roland
6
2020
Teichmüller space of Fibonacci maps. Zbl 1446.37048
Lyubich, Mikhail
6
2019
Pacman renormalization and self-similarity of the Mandelbrot set near Siegel parameters. Zbl 1457.37061
Dudko, Dzmitry; Lyubich, Mikhail; Selinger, Nikita
6
2020
Ergodicity of transitive unimodal transformations of a segment. Zbl 0774.58018
Blokh, A. M.; Lyubich, M. Yu.
5
1989
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
A note on hyperbolic leaves and wild laminations of rational functions. Zbl 1198.30031
Kahn, Jeremy; Lyubich, Mikhail; Rempe, Lasse
4
2010
How big is the set of infinitely renormalizable quadratics? Zbl 0910.58033
Lyubich, Mikhail
4
1998
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
A comparison of harmonic and balanced measures on Cantor repellors. Zbl 0891.58024
Lyubich, Mikhail; Volberg, Alexander
3
1995
Forty years of unimodal dynamics: on the occasion of Artur Avila winning the Brin Prize. Zbl 1280.37036
Lyubich, Mikhail
3
2012
Hedgehogs in higher dimensions and their applications. Zbl 1472.32003
Lyubich, Mikhail; Radu, Remus; Tanase, Raluca
3
2020
Analytic low-dimensional dynamics: from dimension one to two. Zbl 1373.37103
Lyubich, Mikhail
2
2014
Renormalization ideas in conformal dynamics. Zbl 0877.58046
Lyubich, Mikhail
2
1995
Ergodic properties of transformations of an interval. Zbl 0704.58015
Blokh, A. M.; Lyubich, M. Yu.
2
1989
Renormalizable Hénon-like maps and unbounded geometry. Zbl 1268.37060
Hazard, P. E.; Lyubich, M.; Martens, M.
2
2012
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
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
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
Spectral theory of almost periodic representations of semigroups. Zbl 0557.22006
Lyubich, M. Yu.; Lyubich, Yu. I.
2
1984
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
On dynamical gaskets generated by rational maps, Kleinian groups, and Schwarz reflections. Zbl 1517.37055
Lodge, Russell; Lyubich, Mikhail; Merenkov, Sergei; Mukherjee, Sabyasachi
2
2023
Quasisymmetries of the basilica and the Thompson group. Zbl 1499.30238
Lyubich, Mikhail; Merenkov, Sergei
2
2018
Structure of partially hyperbolic Hénon maps. Zbl 1470.32042
Lyubich, Mikhail; Peters, Han
2
2021
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
On the logarithmic property of the degree of a finite group. Zbl 0432.20018
Lyubich, M. Yu.
1
1979
Perron-Frobenius theory for almost periodic operators and representations of semigroups. Zbl 0606.22002
Lyubich, M. Yu.; Lyubich, Yu. I.
1
1986
On typical behaviour of trajectories of transformations of a segment. Zbl 0666.58031
Blokh, A. M.; Lyubich, M. Yu.
1
1988
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 the borderline of real and complex dynamics. Zbl 0847.58021
Lyubich, Mikhail
1
1995
Regular and stochastic dynamics in the real quadratic family. Zbl 0936.37020
Lyubich, Mikhail
1
1998
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
2
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
6
2020
Pacman renormalization and self-similarity of the Mandelbrot set near Siegel parameters. Zbl 1457.37061
Dudko, Dzmitry; Lyubich, Mikhail; Selinger, Nikita
6
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
6
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
12
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
29
2015
Classification of invariant Fatou components for dissipative Hénon maps. Zbl 1301.32013
Lyubich, Mikhail; Peters, Han
20
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
2
2014
Forty years of unimodal dynamics: on the occasion of Artur Avila winning the Brin Prize. Zbl 1280.37036
Lyubich, Mikhail
3
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
19
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
28
2009
The quasi-additivity law in conformal geometry. Zbl 1203.30011
Kahn, Jeremy; Lyubich, Mikhail
26
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
45
2003
Almost every real quadratic map is either regular or stochastic. Zbl 1160.37356
Lyubich, Mikhail
68
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
20
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
75
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
96
1997
Laminations in holomorphic dynamics. Zbl 0910.58032
Lyubich, Mikhail; Minsky, Yair
54
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
3
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
88
1993
The Fibonacci unimodal map. Zbl 0778.58040
Lyubich, Mikhail; Milnor, John
41
1993
Distribution of periodic points of polynomial diffeomorphisms of \(\mathbb{C}^ 2\). Zbl 0799.58039
Bedford, Eric; Lyubich, Mikhail; Smillie, John
34
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.
204
1992
Measurable dynamics of S-unimodal maps of the interval. Zbl 0790.58024
Blokh, A. M.; Lyubich, M. Yu.
46
1991
Julia sets and complex singularities in hierarchical Ising models. Zbl 0737.30019
Bleher, P. M.; Lyubich, M. Yu.
21
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.
7
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.
22
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.
6
1989
Ergodicity of transitive unimodal transformations of a segment. Zbl 0774.58018
Blokh, A. M.; Lyubich, M. Yu.
5
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
On typical behaviour of trajectories of transformations of a segment. Zbl 0666.58031
Blokh, A. M.; Lyubich, M. Yu.
1
1988
Free subgroups of \(SL_ 2({\mathbb{C}})\) with two parabolic generators. Zbl 0639.20025
Lyubich, M. Yu.; Suvorov, V. V.
1
1988
The dynamics of rational transforms: the topological picture. Zbl 0619.30033
Lyubich, M. Yu.
47
1987
Examples of entire functions with pathological dynamics. Zbl 0601.30033
Eremenko, A. E.; Lyubich, M. Yu.
47
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.
12
1984
Iterates of entire functions. Zbl 0588.30027
Eremenko, A. Eh.; Lyubich, M. Yu.
12
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.
134
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.
25
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.
10
1983
Entropy of analytic endomorphisms of the Riemannian sphere. Zbl 0483.30032
Lyubich, M. Yu.
6
1982
On the logarithmic property of the degree of a finite group. Zbl 0432.20018
Lyubich, M. Yu.
1
1979
all top 5

Cited by 866 Authors

34 Lyubich, Mikhail
21 Tien Cuong Dinh
20 Bergweiler, Walter
19 Rempe-Gillen, Lasse
19 van Strien, Sebastian J.
18 Bruin, Henk
17 Blokh, Alexander M.
17 Yampolsky, Michael
16 Schleicher, Dierk
15 Benini, Anna Miriam
15 Fagella, Núria
14 Dujardin, Romain
14 Martens, Marco
14 Okuyama, Yûsuke
14 Oversteegen, Lex G.
14 Peters, Han
14 Yin, Yongcheng
13 Przytycki, Feliks
13 Qiu, Weiyuan
13 Shen, Weixiao
13 Urbański, Mariusz
12 Bedford, Eric
12 Levin, Genadi M.
12 Sixsmith, David Jonathan
11 Berteloot, François
11 Cabrera, Carlos
11 de Melo, Welington
11 Gao, Junyang
11 Makienko, Peter M.
11 Sibony, Nessim
10 Bianchi, Fabrizio
10 Zdunik, Anna
9 Avila, Artur
9 Eremenko, Alexandre Émmanuilovich
9 Gaidashev, Denis G.
9 Jarque, Xavier
9 Yang, Fei
9 Zeng, Jinsong
8 Berger, Pierre
8 DeMarco, Laura Grace
8 Hawkins, Jane M.
8 Langley, James K.
8 Mayer, Volker
8 Qiao, Jianyong
8 Roeder, Roland K. W.
8 Sienra, Guillermo J. F.
8 Świątek, Grzegorz
8 Timorin, Vladlen Anatol’evich
8 Wang, Yuefei
7 Barański, Krzysztof
7 Bishop, Christopher James
7 Fornæss, John Erik
7 Gauthier, Thomas
7 Kawahira, Tomoki
7 Mukherjee, Sabyasachi
7 Rivera-Letelier, Juan
7 Smania, Daniel
7 Sridharan, Shrihari
6 Aspenberg, Magnus
6 Clark, Trevor
6 de Thélin, Henry
6 Dobbs, Neil B.
6 Domínguez, Patricia
6 Evdoridou, Vasiliki
6 Graczyk, Jacek
6 Koss, Lorelei
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 Yorke, James Alan
6 Zhang, Gaofei
5 Baladi, Viviane
5 Boc Thaler, Luka
5 Cantat, Serge
5 De Leo, Roberto
5 Dudko, Artem
5 Dupont, Christophe
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 Roesch, Pascale
5 Sumi, Hiroki
5 Taflin, Johan
5 Vigny, Gabriel
5 Young, Lai-Sang
5 Zhai, Yu
5 Zheng, Jianhua
4 Astorg, Matthieu
4 Chandramouli, V. V. M. S.
4 Clark, Alex
...and 766 more Authors
all top 5

Cited in 192 Serials

79 Ergodic Theory and Dynamical Systems
51 Transactions of the American Mathematical Society
44 Communications in Mathematical Physics
36 Advances in Mathematics
36 Proceedings of the American Mathematical Society
33 Conformal Geometry and Dynamics
26 Inventiones Mathematicae
24 Journal of Mathematical Analysis and Applications
23 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
22 Nonlinearity
20 The Journal of Geometric Analysis
19 Discrete and Continuous Dynamical Systems
17 Journal d’Analyse Mathématique
17 Mathematische Annalen
17 Mathematische Zeitschrift
14 Israel Journal of Mathematics
13 Annales de l’Institut Fourier
13 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
12 Mathematical Proceedings of the Cambridge Philosophical Society
12 Journal of the American Mathematical Society
12 Science China. Mathematics
11 Journal of Statistical Physics
11 Journal of the European Mathematical Society (JEMS)
11 Arnold Mathematical Journal
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 Journal of Difference Equations and Applications
9 Chaos, Solitons and Fractals
9 Journal of the London Mathematical Society. Second Series
9 Chaos
9 Computational Methods and Function Theory
8 Acta Mathematica
8 Fundamenta Mathematicae
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 Experimental Mathematics
7 Annals of Mathematics. Second Series
6 Arkiv för Matematik
6 Bulletin of the London Mathematical Society
6 Physica D
6 International Journal of Mathematics
6 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
5 Proceedings of the London Mathematical Society. Third Series
5 Qualitative Theory of Dynamical Systems
5 Complex Analysis and Operator Theory
4 Journal of Mathematical Physics
4 Mathematical Notes
4 Illinois Journal of Mathematics
4 Indiana University Mathematics Journal
4 Publications Mathématiques
4 Memoirs of the American Mathematical Society
4 Michigan Mathematical Journal
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
4 Acta Mathematica Sinica. English Series
4 Complex Variables and Elliptic Equations
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Bulletin de la Société Mathématique de France
3 Journal of Soviet Mathematics
3 Monatshefte für Mathematik
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 Journal of Mathematical Sciences (New York)
3 Geometry & Topology
3 Annales Henri Poincaré
2 Bulletin of the Australian Mathematical Society
2 Physics Letters. A
2 Rocky Mountain Journal of Mathematics
2 Acta Mathematica Vietnamica
2 American Journal of Mathematics
2 Compositio Mathematica
2 Geometriae Dedicata
2 Journal of Algebra
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
...and 92 more Serials
all top 5

Cited in 45 Fields

924 Dynamical systems and ergodic theory (37-XX)
329 Functions of a complex variable (30-XX)
142 Several complex variables and analytic spaces (32-XX)
54 Measure and integration (28-XX)
28 Number theory (11-XX)
28 General topology (54-XX)
28 Statistical mechanics, structure of matter (82-XX)
27 Difference and functional equations (39-XX)
27 Probability theory and stochastic processes (60-XX)
26 Manifolds and cell complexes (57-XX)
22 Algebraic geometry (14-XX)
21 Group theory and generalizations (20-XX)
19 Ordinary differential equations (34-XX)
15 Numerical analysis (65-XX)
14 Operator theory (47-XX)
12 Potential theory (31-XX)
12 Global analysis, analysis on manifolds (58-XX)
9 Real functions (26-XX)
8 Differential geometry (53-XX)
8 Quantum theory (81-XX)
8 Biology and other natural sciences (92-XX)
7 Combinatorics (05-XX)
7 Partial differential equations (35-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
6 Abstract harmonic analysis (43-XX)
5 General and overarching topics; collections (00-XX)
5 Special functions (33-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 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Information and communication theory, circuits (94-XX)
2 History and biography (01-XX)
2 Field theory and polynomials (12-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Operations research, mathematical programming (90-XX)
1 Commutative algebra (13-XX)
1 Sequences, series, summability (40-XX)
1 Geometry (51-XX)
1 Fluid mechanics (76-XX)
1 Systems theory; control (93-XX)

Citations by Year

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