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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

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

Publications by Year

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 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

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