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Lyubich, Mikhail Yur’evich

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Author ID: lyubich.mikhail Recent zbMATH articles by "Lyubich, Mikhail Yur’evich"
Published as: Lyubich, Mikhail; Lyubich, M. Yu.; Lyubich, M.; Lyubich, Mikhail Yur’evich
External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef
Documents Indexed: 111 Publications since 1979, including 7 Books
all top 5

Serials

6 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 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

76 Publications have been cited 1,285 times in 788 Documents Cited by Year
Dynamical properties of some classes of entire functions. Zbl 0735.58031
Eremenko, A.; Lyubich, M.
160
1992
Entropy properties of rational endomorphisms of the Riemann sphere. Zbl 0537.58035
Lyubich, M. Yu.
95
1983
Dynamics of quadratic polynomials. I, II. Zbl 0908.58053
Lyubich, Mikhail
73
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
71
1993
Feigenbaum-Coullet-Tresser universality and Milnor’s hairiness conjecture. Zbl 0945.37012
Lyubich, Mikhail
55
1999
Almost every real quadratic map is either regular or stochastic. Zbl 1160.37356
Lyubich, Mikhail
53
2002
Laminations in holomorphic dynamics. Zbl 0910.58032
Lyubich, Mikhail; Minsky, Yair
40
1997
Measurable dynamics of S-unimodal maps of the interval. Zbl 0790.58024
Blokh, A. M.; Lyubich, M. Yu.
38
1991
The Fibonacci unimodal map. Zbl 0778.58040
Lyubich, Mikhail; Milnor, John
36
1993
Examples of entire functions with pathological dynamics. Zbl 0601.30033
Eremenko, A. E.; Lyubich, M. Yu.
35
1987
Regular or stochastic dynamics in real analytic families of unimodal maps. Zbl 1050.37018
Avila, Artur; Lyubich, Mikhail; de Melo, Welington
33
2003
Combinatorics, geometry and attractors of quasi-quadratic maps. Zbl 0821.58014
Lyubich, Mikhail
33
1994
The dynamics of rational transforms: the topological picture. Zbl 0619.30033
Lyubich, M. Yu.
29
1987
Renormalization in the Hénon family. I: Universality but non-rigidity. Zbl 1098.37039
De Carvalho, A.; Lyubich, M.; Martens, M.
27
2005
The dynamics of analytic transformations. Zbl 0717.58029
Eremenko, A. Eh.; Lyubich, M. Yu.
24
1990
Distribution of periodic points of polynomial diffeomorphisms of \(\mathbb{C}^ 2\). Zbl 0799.58039
Bedford, Eric; Lyubich, Mikhail; Smillie, John
23
1993
Stability and bifurcations for dissipative polynomial automorphisms of \(\mathbb C^2\). Zbl 1337.37029
Dujardin, Romain; Lyubich, Mikhail
22
2015
Hausdorff dimension and conformal measures of Feigenbaum Julia sets. Zbl 1205.37058
Avila, Artur; Lyubich, Mikhail
21
2008
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.
20
1989
Combinatorial rigidity for unicritical polynomials. Zbl 1204.37047
Avila, Artur; Kahn, Jeremy; Lyubich, Mikhail; Shen, Weixiao
19
2009
Julia sets and complex singularities in hierarchical Ising models. Zbl 0737.30019
Bleher, P. M.; Lyubich, M. Yu.
18
1991
Dynamics of analytic transformations. Zbl 0712.58036
Eremenko, A. Eh.; Lyubich, M. Yu.
18
1989
Some generic properties of the dynamics of rational mappings. Zbl 0546.58033
Lyubich, M. Yu.
17
1983
Non-existence of wandering intervals and structure of topological attractors of one dimensional dynamical systems. I: The case of negative Schwarzian derivative. Zbl 0665.58023
Lyubich, M. Yu.
17
1989
The quasi-additivity law in conformal geometry. Zbl 1203.30011
Kahn, Jeremy; Lyubich, Mikhail
16
2009
Classification of invariant Fatou components for dissipative Hénon maps. Zbl 1301.32013
Lyubich, Mikhail; Peters, Han
15
2014
Some typical properties of the dynmics of rational maps. Zbl 0598.58028
Lyubich, M. Yu.
15
1983
Dynamics of quadratic polynomials: complex bounds for real maps. Zbl 0881.58053
Lyubich, Mikhail; Yampolsky, Michael
14
1997
Dynamics of quadratic polynomials. III: Parapuzzle and SRB measures. Zbl 1044.37038
Lyubich, Mikhail
14
2000
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
13
2005
On typical behavior of the trajectories of a rational mapping of the sphere. Zbl 0595.30034
Lyubich, M. Yu.
13
1983
Renormalization in the Hénon family. II: The heteroclinic web. Zbl 1243.37035
Lyubich, M.; Martens, M.
13
2011
Quasisymmetries of Sierpiński carpet Julia sets. Zbl 1358.37083
Bonk, Mario; Lyubich, Mikhail; Merenkov, Sergei
11
2016
Local connectivity of Julia sets for unicritical polynomials. Zbl 1180.37072
Kahn, Jeremy; Lyubich, Mikhail
11
2009
The full renormalization horseshoe for unimodal maps of higher degree: exponential contraction along hybrid classes. Zbl 1286.37047
Avila, Artur; Lyubich, Mikhail
10
2011
Investigation of the stability of the dynamics of rational functions. Zbl 0572.30023
Lyubich, M. Yu.
9
1984
Measure and dimension of solenoidal attractors of one-dimensional dynamical systems. Zbl 0721.58033
Blokh, A. M.; Lyubich, M. Yu.
9
1990
A priori bounds for some infinitely renormalizable quadratics. II: Decorations. Zbl 1156.37311
Kahn, Jeremy; Lyubich, Mikhail
9
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
8
2017
Examples of Feigenbaum Julia sets with small Hausdorff dimension. Zbl 1173.37045
Avila, Artur; Lyubich, Mikhail
7
2006
Iterates of entire functions. Zbl 0588.30027
Eremenko, A. Eh.; Lyubich, M. Yu.
7
1984
The quadratic family as a qualitatively solvable model of chaos. Zbl 1040.37032
Lyubich, Mikhail
7
2000
Attractors of transformations of a closed interval. Zbl 0653.58022
Blokh, A. M.; Lyubich, M. Yu.
6
1987
Measure of solenoidal attractors of unimodal maps of the segment. Zbl 0774.58026
Blokh, A. M.; Lyubich, M. Yu.
5
1990
An analysis of the stability of the dynamics of rational functions. Zbl 0697.30026
Lyubich, M. Yu.
5
1990
Removal of the boundary spectrum for almost periodic operators and representations of semigroups. Zbl 0629.47033
Lyubich, M. Yu.; Lyubich, Yu. I.
5
1986
A priori bounds for some infinitely renormalizable quadratics. III: Molecules. Zbl 1180.37069
Kahn, Jeremy; Lyubich, Mikhail
5
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
5
2014
Parapuzzle of the Multibrot set and typical dynamics of unimodal maps. Zbl 1213.37076
Avila, Artur; Lyubich, Mikhail; Shen, Weixiao
5
2011
Renormalization of Hénon maps. Zbl 1253.37046
Lyubich, M.; Martens, M.
5
2011
Entropy of analytic endomorphisms of the Riemannian sphere. Zbl 0483.30032
Lyubich, M. Yu.
4
1982
Attractors of maps of the interval. Zbl 0698.58037
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
The maximum-entropy measure of a rational endomorphism of the Riemann sphere. Zbl 0525.28021
Lyubich, M. Yu.
3
1983
Milnor’s attractors persistent recurrence and renormalization. Zbl 0797.58050
Lyubich, Mikhail
3
1993
Ergodicity of transitive unimodal transformations of a segment. Zbl 0774.58018
Blokh, A. M.; Lyubich, M. Yu.
3
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.
3
1990
How big is the set of infinitely renormalizable quadratics? Zbl 0910.58033
Lyubich, Mikhail
3
1998
Measurable dynamics of the exponential map. Zbl 0667.58037
Lyubich, M. Yu.
3
1987
Renormalization ideas in conformal dynamics. Zbl 0877.58046
Lyubich, Mikhail
2
1995
Spectral theory of almost periodic representations of semigroups. Zbl 0557.22006
Lyubich, M. Yu.; Lyubich, Yu. I.
2
1984
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
A comparison of harmonic and balanced measures on Cantor repellors. Zbl 0891.58024
Lyubich, Mikhail; Volberg, Alexander
2
1995
Renormalizable Hénon-like maps and unbounded geometry. Zbl 1268.37060
Hazard, P. E.; Lyubich, M.; Martens, M.
2
2012
Frontiers in complex dynamics. In celebration of John Milnor’s 80th birthday. Based on a conference, Banff, Canada, February 2011. Zbl 1285.37001
Bonifant, Araceli (ed.); Lyubich, Mikhail (ed.); Sutherland, Scott (ed.)
1
2014
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
Structural stability in some families of entire functions. Zbl 0597.30032
Eremenko, A. Eh.; Lyubich, M. Yu.
1
1985
Perron-Frobenius theory for almost periodic operators and representations of semigroups. Zbl 0606.22002
Lyubich, M. Yu.; Lyubich, Yu. I.
1
1986
Regular and stochastic dynamics in the real quadratic family. Zbl 0936.37020
Lyubich, Mikhail
1
1998
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
Quasisymmetries of the basilica and the Thompson group. Zbl 06910251
Lyubich, Mikhail; Merenkov, Sergei
1
2018
Forty years of unimodal dynamics: on the occasion of Artur Avila winning the Brin Prize. Zbl 1280.37036
Lyubich, Mikhail
1
2012
Hedgehogs in higher dimensions and their applications. Zbl 07347026
Lyubich, Mikhail; Radu, Remus; Tanase, Raluca
1
2020
Hedgehogs in higher dimensions and their applications. Zbl 07347026
Lyubich, Mikhail; Radu, Remus; Tanase, Raluca
1
2020
Quasisymmetries of the basilica and the Thompson group. Zbl 06910251
Lyubich, Mikhail; Merenkov, Sergei
1
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
8
2017
Quasisymmetries of Sierpiński carpet Julia sets. Zbl 1358.37083
Bonk, Mario; Lyubich, Mikhail; Merenkov, Sergei
11
2016
Stability and bifurcations for dissipative polynomial automorphisms of \(\mathbb C^2\). Zbl 1337.37029
Dujardin, Romain; Lyubich, Mikhail
22
2015
Classification of invariant Fatou components for dissipative Hénon maps. Zbl 1301.32013
Lyubich, 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 1323.37029
Benini, Anna Miriam; Lyubich, Mikhail
5
2014
Frontiers in complex dynamics. In celebration of John Milnor’s 80th birthday. Based on a conference, Banff, Canada, February 2011. Zbl 1285.37001
Bonifant, Araceli; Lyubich, Mikhail; Sutherland, Scott
1
2014
Renormalizable Hénon-like maps and unbounded geometry. Zbl 1268.37060
Hazard, P. E.; Lyubich, M.; Martens, M.
2
2012
Forty years of unimodal dynamics: on the occasion of Artur Avila winning the Brin Prize. Zbl 1280.37036
Lyubich, Mikhail
1
2012
Renormalization in the Hénon family. II: The heteroclinic web. Zbl 1243.37035
Lyubich, M.; Martens, M.
13
2011
The full renormalization horseshoe for unimodal maps of higher degree: exponential contraction along hybrid classes. Zbl 1286.37047
Avila, Artur; Lyubich, Mikhail
10
2011
Parapuzzle of the Multibrot set and typical dynamics of unimodal maps. Zbl 1213.37076
Avila, Artur; Lyubich, Mikhail; Shen, Weixiao
5
2011
Renormalization of Hénon maps. Zbl 1253.37046
Lyubich, M.; Martens, M.
5
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
19
2009
The quasi-additivity law in conformal geometry. Zbl 1203.30011
Kahn, Jeremy; Lyubich, Mikhail
16
2009
Local connectivity of Julia sets for unicritical polynomials. Zbl 1180.37072
Kahn, Jeremy; Lyubich, Mikhail
11
2009
A priori bounds for some infinitely renormalizable quadratics. III: Molecules. Zbl 1180.37069
Kahn, Jeremy; Lyubich, Mikhail
5
2009
Hausdorff dimension and conformal measures of Feigenbaum Julia sets. Zbl 1205.37058
Avila, Artur; Lyubich, Mikhail
21
2008
A priori bounds for some infinitely renormalizable quadratics. II: Decorations. Zbl 1156.37311
Kahn, Jeremy; Lyubich, Mikhail
9
2008
Examples of Feigenbaum Julia sets with small Hausdorff dimension. Zbl 1173.37045
Avila, Artur; Lyubich, Mikhail
7
2006
Renormalization in the Hénon family. I: Universality but non-rigidity. Zbl 1098.37039
De Carvalho, A.; Lyubich, M.; Martens, M.
27
2005
Conformal and harmonic measures on laminations associated with rational maps. Zbl 1242.37032
Kaimanovich, Vadim A.; Lyubich, Mikhail
13
2005
Regular or stochastic dynamics in real analytic families of unimodal maps. Zbl 1050.37018
Avila, Artur; Lyubich, Mikhail; de Melo, Welington
33
2003
Almost every real quadratic map is either regular or stochastic. Zbl 1160.37356
Lyubich, Mikhail
53
2002
Dynamics of quadratic polynomials. III: Parapuzzle and SRB measures. Zbl 1044.37038
Lyubich, Mikhail
14
2000
The quadratic family as a qualitatively solvable model of chaos. Zbl 1040.37032
Lyubich, Mikhail
7
2000
Feigenbaum-Coullet-Tresser universality and Milnor’s hairiness conjecture. Zbl 0945.37012
Lyubich, Mikhail
55
1999
How big is the set of infinitely renormalizable quadratics? Zbl 0910.58033
Lyubich, Mikhail
3
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
73
1997
Laminations in holomorphic dynamics. Zbl 0910.58032
Lyubich, Mikhail; Minsky, Yair
40
1997
Dynamics of quadratic polynomials: complex bounds for real maps. Zbl 0881.58053
Lyubich, Mikhail; Yampolsky, Michael
14
1997
Renormalization ideas in conformal dynamics. Zbl 0877.58046
Lyubich, Mikhail
2
1995
A comparison of harmonic and balanced measures on Cantor repellors. Zbl 0891.58024
Lyubich, Mikhail; Volberg, Alexander
2
1995
Combinatorics, geometry and attractors of quasi-quadratic maps. Zbl 0821.58014
Lyubich, Mikhail
33
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
71
1993
The Fibonacci unimodal map. Zbl 0778.58040
Lyubich, Mikhail; Milnor, John
36
1993
Distribution of periodic points of polynomial diffeomorphisms of \(\mathbb{C}^ 2\). Zbl 0799.58039
Bedford, Eric; Lyubich, Mikhail; Smillie, John
23
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.
160
1992
Measurable dynamics of S-unimodal maps of the interval. Zbl 0790.58024
Blokh, A. M.; Lyubich, M. Yu.
38
1991
Julia sets and complex singularities in hierarchical Ising models. Zbl 0737.30019
Bleher, P. M.; Lyubich, M. Yu.
18
1991
The dynamics of analytic transformations. Zbl 0717.58029
Eremenko, A. Eh.; Lyubich, M. Yu.
24
1990
Measure and dimension of solenoidal attractors of one-dimensional dynamical systems. Zbl 0721.58033
Blokh, A. M.; Lyubich, M. Yu.
9
1990
Measure of solenoidal attractors of unimodal maps of the segment. Zbl 0774.58026
Blokh, A. M.; Lyubich, M. Yu.
5
1990
An analysis of the stability of the dynamics of rational functions. Zbl 0697.30026
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.
3
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.
20
1989
Dynamics of analytic transformations. Zbl 0712.58036
Eremenko, A. Eh.; Lyubich, M. Yu.
18
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.
17
1989
Attractors of maps of the interval. Zbl 0698.58037
Blokh, A. M.; Lyubich, M. Yu.
4
1989
Ergodicity of transitive unimodal transformations of a segment. Zbl 0774.58018
Blokh, A. M.; Lyubich, M. Yu.
3
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
Examples of entire functions with pathological dynamics. Zbl 0601.30033
Eremenko, A. E.; Lyubich, M. Yu.
35
1987
The dynamics of rational transforms: the topological picture. Zbl 0619.30033
Lyubich, M. Yu.
29
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.
3
1987
Removal of the boundary spectrum for almost periodic operators and representations of semigroups. Zbl 0629.47033
Lyubich, M. Yu.; Lyubich, Yu. I.
5
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
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
Structural stability in some families of entire functions. Zbl 0597.30032
Eremenko, A. Eh.; Lyubich, M. Yu.
1
1985
Investigation of the stability of the dynamics of rational functions. Zbl 0572.30023
Lyubich, M. Yu.
9
1984
Iterates of entire functions. Zbl 0588.30027
Eremenko, A. Eh.; Lyubich, M. Yu.
7
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.
95
1983
Some generic properties of the dynamics of rational mappings. Zbl 0546.58033
Lyubich, M. Yu.
17
1983
Some typical properties of the dynmics of rational maps. Zbl 0598.58028
Lyubich, M. Yu.
15
1983
On typical behavior of the trajectories of a rational mapping of the sphere. Zbl 0595.30034
Lyubich, M. Yu.
13
1983
The maximum-entropy measure of a rational endomorphism of the Riemann sphere. Zbl 0525.28021
Lyubich, M. Yu.
3
1983
Entropy of analytic endomorphisms of the Riemannian sphere. Zbl 0483.30032
Lyubich, M. Yu.
4
1982
all top 5

Cited by 639 Authors

27 Lyubich, Mikhail Yur’evich
19 Bergweiler, Walter
17 Rempe-Gillen, Lasse
17 van Strien, Sebastian J.
16 Bruin, Henk
16 Tien Cuong Dinh
15 Yampolsky, Michael
13 Martens, Marco
12 Shen, Weixiao
11 Bedford, Eric
11 Cabrera, Carlos
11 Fagella, Núria
11 Qiu, Weiyuan
11 Schleicher, Dierk
11 Sibony, Nessim
11 Yin, Yongcheng
10 Blokh, Alexander M.
10 de Melo, Welington
10 Dujardin, Romain
10 Gao, Junyang
10 Levin, Genadi M.
10 Peters, Han
10 Przytycki, Feliks
10 Sixsmith, David Jonathan
9 Benini, Anna Miriam
9 Oversteegen, Lex G.
9 Urbański, Mariusz
8 Berteloot, François
8 Gaidashev, Denis G.
8 Hawkins, Jane M.
8 Jarque, Xavier
8 Makienko, Peter M.
7 Avila Cordeiro de Melo, Artur
7 Eremenko, Alexandre Émmanuilovich
7 Kawahira, Tomoki
7 Langley, James K.
7 Qiao, Jianyong
7 Rivera-Letelier, Juan
7 Roeder, Roland K. W.
7 Świątek, Grzegorz
7 Wang, Yuefei
7 Yang, Fei
7 Zdunik, Anna
6 Berger, Pierre
6 Okuyama, Yûsuke
6 Peng, Wenjuan
6 Smillie, John
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 Palmisano, Liviana
5 Sienra, Guillermo J. F.
5 Smania, Daniel
5 Sridharan, Shrihari
5 Todd, Mike
5 Yorke, James Alan
5 Young, Lai-Sang
5 Zeng, Jinsong
5 Zhai, Yu
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 Dudko, Artem
4 Dupont, Christophe
4 Fornæss, John Erik
4 Galias, Zbigniew
4 Gauthier, Thomas
4 Graczyk, Jacek
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 Mayer, Volker
4 McMullen, Curtis Tracy
4 Mihaljević, Helena
4 Nowicki, Tomasz
4 Palis, Jacob jun.
4 Peter, Jörn
4 Pollicott, Mark
4 Prasad, M. Guru Prem
4 Raissy, Jasmin
4 Rippon, Philip Jonathan
4 Stallard, Gwyneth Mary
4 Taflin, Johan
4 Timorin, Vladlen Anatol’evich
4 Vargas, Edson
...and 539 more Authors
all top 5

Cited in 152 Serials

55 Ergodic Theory and Dynamical Systems
47 Transactions of the American Mathematical Society
42 Communications in Mathematical Physics
31 Proceedings of the American Mathematical Society
29 Conformal Geometry and Dynamics
23 Advances in Mathematics
22 Inventiones Mathematicae
21 Journal of Mathematical Analysis and Applications
17 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
15 Journal d’Analyse Mathématique
15 Mathematische Annalen
15 Discrete and Continuous Dynamical Systems
14 The Journal of Geometric Analysis
12 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
12 Mathematische Zeitschrift
11 Israel Journal of Mathematics
11 Annales de l’Institut Fourier
11 Journal of the American Mathematical Society
10 Topology and its Applications
9 Journal of Statistical Physics
9 Mathematical Proceedings of the Cambridge Philosophical Society
9 Duke Mathematical Journal
9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
9 Chaos
9 Journal of the European Mathematical Society (JEMS)
9 Science China. Mathematics
8 Acta Mathematica
8 Dynamical Systems
8 Computational Methods and Function Theory
7 Science in China. Series A
7 Geometric and Functional Analysis. GAFA
7 Bulletin of the American Mathematical Society. New Series
7 Journal of Difference Equations and Applications
6 Nonlinearity
6 Arkiv för Matematik
6 International Journal of Mathematics
6 Annales Academiae Scientiarum Fennicae. Mathematica
6 Annals of Mathematics. Second Series
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Journal of Modern Dynamics
5 Indian Journal of Pure & Applied Mathematics
5 Chaos, Solitons and Fractals
5 Physica D
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Journal of Dynamics and Differential Equations
5 Experimental Mathematics
5 Complex Analysis and Operator Theory
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 Journal of Mathematical Physics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Fundamenta Mathematicae
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
3 Arnold Mathematical Journal
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 Results in Mathematics
2 Theoretical Computer Science
2 Chinese Annals of Mathematics. Series B
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 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 Acta Mathematica Vietnamica
1 Applied Mathematics and Computation
1 Archiv der Mathematik
1 Bulletin of the London Mathematical Society
1 Bulletin de la Société Mathématique de France
1 Collectanea Mathematica
1 Compositio Mathematica
1 Geometriae Dedicata
1 Indiana University Mathematics Journal
...and 52 more Serials
all top 5

Cited in 39 Fields

694 Dynamical systems and ergodic theory (37-XX)
246 Functions of a complex variable (30-XX)
117 Several complex variables and analytic spaces (32-XX)
38 Measure and integration (28-XX)
23 General topology (54-XX)
23 Probability theory and stochastic processes (60-XX)
21 Statistical mechanics, structure of matter (82-XX)
17 Manifolds and cell complexes (57-XX)
16 Number theory (11-XX)
15 Algebraic geometry (14-XX)
15 Group theory and generalizations (20-XX)
14 Ordinary differential equations (34-XX)
14 Difference and functional equations (39-XX)
10 Global analysis, analysis on manifolds (58-XX)
10 Numerical analysis (65-XX)
9 Operator theory (47-XX)
8 Potential theory (31-XX)
7 Real functions (26-XX)
5 Combinatorics (05-XX)
5 Partial differential equations (35-XX)
5 Differential geometry (53-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 Harmonic analysis on Euclidean spaces (42-XX)
4 Functional analysis (46-XX)
3 Mathematical logic and foundations (03-XX)
3 Topological groups, Lie groups (22-XX)
3 Abstract harmonic analysis (43-XX)
3 Convex and discrete geometry (52-XX)
2 Special functions (33-XX)
2 Statistics (62-XX)
2 Operations research, mathematical programming (90-XX)
1 Commutative algebra (13-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

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