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Author ID: levin.genadi-m Recent zbMATH articles by "Levin, Genadi M."
Published as: Levin, G. M.; Levin, Genadi; Levin, G.; Levin, Genadi M.
Documents Indexed: 97 Publications since 1959, including 1 Book and 5 Additional arXiv Preprints
Co-Authors: 25 Co-Authors with 50 Joint Publications
734 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

62 Publications have been cited 425 times in 255 Documents Cited by Year
Homological dimensions and Macaulay rings. Zbl 0161.03903
Levin, G.; Vasconcelos, W. V.
31
1968
Local connectivity of the Julia set of real polynomials. Zbl 0941.37031
Levin, Genadi; van Strien, Sebastian
30
1998
An inequality for laminations, Julia sets and “growing trees”. Zbl 1067.37058
Blokh, A.; Levin, G.
27
2002
On backward stability of holomorphic dynamical systems. Zbl 0915.58089
Levin, G.
20
1998
External rays to periodic points. Zbl 0854.30020
Levin, G.; Przytycki, F.
19
1996
On an analytic approach to the Fatou conjecture. Zbl 0984.37046
Levin, Genadi
19
2002
When do two rational functions have the same Julia set? Zbl 0870.58085
Levin, G.; Przytycki, F.
19
1997
Bounds for maps of an interval with one critical point of inflection type. II. Zbl 0986.37027
Levin, Genadi; van Strien, Sebastian
14
2000
Multipliers of periodic orbits of quadratic polynomials and the parameter plane. Zbl 1177.37048
Levin, Genadi
11
2009
A Ruelle operator for a real Julia set. Zbl 0749.58039
Levin, G. M.; Sodin, M. L.; Yuditskij, P. M.
11
1991
On periodic points of polynomials. Zbl 0686.30019
Eremenko, A. Eh.; Levin, G. M.
10
1989
Multipliers of periodic orbits in spaces of rational maps. Zbl 1209.37052
Levin, Genadi
10
2011
Periodic points of polynomials. Zbl 0704.30033
Eremenko, A. Eh.; Levin, G. M.
10
1989
Theory of iterations of polynomial families in the complex plane. Zbl 0716.30017
Levin, G. M.
10
1990
Symmetries on the Julia set. Zbl 0724.30021
Levin, G. M.
10
1990
Perturbations of weakly expanding critical orbits. Zbl 1348.37075
Levin, Genadi
10
2014
An extended Fatou-Shishikura inequality and wandering branch continua for polynomials. Zbl 1393.37058
Blokh, Alexander; Childers, Doug; Levin, Genadi; Oversteegen, Lex; Schleicher, Dierk
10
2016
Positive transversality via transfer operators and holomorphic motions with applications to monotonicity for interval maps. Zbl 1453.37044
Levin, Genadi; Shen, Weixiao; van Strien, Sebastian
9
2020
Rigidity and non-local connectivity of Julia sets of some quadratic polynomials. Zbl 1242.37031
Levin, Genadi
8
2011
Dynamics and universality of unimodal mappings with infinite criticality. Zbl 1080.37043
Levin, Genadi; Światek, Grzegorz
8
2005
On Pommerenke’s inequality for the eigenvalues of fixed points. Zbl 0742.30026
Levin, G. M.
8
1991
The Lyapunov exponent of holomorphic maps. Zbl 1352.37136
Levin, Genadi; Przytycki, Feliks; Shen, Weixiao
7
2016
Universality of critical circle covers. Zbl 1119.37312
Levin, G.; Świątek, G.
7
2002
Hausdorff dimension of Julia sets of Feigenbaum polynomials with high criticality. Zbl 1080.37055
Levin, Genadi; Światek, Grzegorz
6
2005
Suboptimal reduced-order filtering through an LMI-based method. Zbl 1373.94595
Geromel, J. C.; Levin, G.
6
2006
Total disconnectedness of Julia sets and absence of invariant linefields for real polynomials. Zbl 0939.37027
Levin, Genadi; van Strien, Sebastian
5
2000
On explicit connections between dynamical and parameter spaces. Zbl 1073.37054
Levin, Genadi
5
2003
Symmetries on a Julia set. Zbl 0816.30021
Levin, G. M.
5
1991
Polynomials with the nonconnected Julia set and the Green mapping. Zbl 0792.30019
Levin, G. M.; Sodin, M. L.
5
1992
Ruelle operators with rational weights for Julia sets. Zbl 0988.37026
Levin, G.; Sodin, M.; Yuditskii, P.
5
1994
On non-regular values of the parameter of a family of polynomial maps. Zbl 0513.30003
Levin, G. M.
4
1981
Disconnected Julia set and rotation sets. Zbl 0857.30024
Levin, Genadi
4
1996
Letter to the editor: On symmetries on a Julia set. Zbl 1051.30502
Levin, G. M.
4
2001
On the theory of iterations of polynomial families on the complex plane. Zbl 0698.30021
Levin, G. M.
4
1989
Common limits of Fibonacci circle maps. Zbl 1267.37038
Levin, Genadi; Świątek, Grzegorz
4
2012
Transversality for critical relations of families of rational maps: an elementary proof. Zbl 1446.37047
Levin, Genadi; Shen, Weixiao; van Strien, Sebastian
4
2019
On the arithmetic properties of a certain sequence of polynomials. Zbl 0655.30019
Levin, G. M.
3
1988
Measure of the Julia set of the Feigenbaum map with infinite criticality. Zbl 1246.37072
Levin, Genadi; Świątek, Grzegorz
3
2010
On dynamics of vertices of locally connected polynomial Julia sets. Zbl 1080.37054
Blokh, A.; Levin, G.
3
2002
Bounds for maps of an interval with one reflecting critical point. I. Zbl 0915.58028
Levin, Genadi
3
1998
On Hausdorff dimension of some Cantor attractors. Zbl 1147.37332
Levin, G.; Przytycki, F.
3
2005
On Mayer’s conjecture and zeros of entire functions. Zbl 0805.47061
Levin, G.
3
1994
On the Hausdorff dimension of Julia sets of some real polynomials. Zbl 1291.37079
Levin, Genadi; Zinsmeister, Michel
3
2013
Parametric decomposition of extremal problems: A general approach and some applications. Zbl 0678.90079
Verina, L. F.; Levin, G. M.; Tanaev, V. S.
2
1988
A Cantor limit set. Zbl 0482.39002
Barkovskij, Yu. S.; Levin, G. M.
2
1980
On an estimation of the chromatic characteristics of a compound graph. Zbl 0488.05035
Levin, G. M.
2
1982
On sequences of bifurcations of a one-parameter family of mappings. Zbl 0506.58025
Levin, G. M.
2
1982
Thickness of Julia sets of Feigenbaum polynomials with high order critical points. Zbl 1052.37040
Levin, Genadi; Świątek, Grzegorz
2
2004
On the complement of the Mandelbrot set. Zbl 0817.30012
Levin, G. M.
2
1994
On symmetries on a Julia set. Zbl 0709.30021
Levin, G. M.
2
1990
On the distribution of zeros of a Ruelle zeta-function. Zbl 0788.58045
Eremenko, A.; Levin, G.; Sodin, M.
2
1994
Limit drift. Zbl 1380.37084
Levin, Genadi; ŚwiąTek, Grzegorz
2
2017
Fixed points of the Ruelle-Thurston operator and the Cauchy transform. Zbl 1483.37035
Levin, Genadi
2
2021
On the Cauchy transform vanishing outside a compact. Zbl 1461.30087
Levin, Genadi
2
2020
Addendum to: “Rigidity and non-local connectivity of Julia sets of some quadratic polynomials”. Zbl 1283.37051
Levin, Genadi
2
2014
Estimates of characteristic exponents of a polynomial. Zbl 0802.30027
Eremenko, A. Eh.; Levin, G. M.
1
1992
On an optimization problem for transfer functions of network elements and applications to transmission designing. Zbl 0736.90076
Verina, L. F.; Levin, G. M.
1
1991
Parametric decomposition of problems of minimizing composite functions on parametrized paths of directed graphs. Zbl 0747.90100
Gushchinskij, N. N.; Levin, G. M.; Tanaev, V. S.
1
1990
On the theory of decomposing extremal problems. Zbl 0362.90087
Levin, G. M.; Tanaev, V. S.
1
1974
Parametric decomposition of extremal problems. Zbl 0362.90088
Levin, G. M.; Tanaev, V. S.
1
1974
On the optimization of functions given recurrently on weakly normalized permutation sets. Zbl 0445.90103
Levin, G. M.
1
1980
Rays to renormalizations. Zbl 1476.37070
Levin, Genadi
1
2020
Fixed points of the Ruelle-Thurston operator and the Cauchy transform. Zbl 1483.37035
Levin, Genadi
2
2021
Positive transversality via transfer operators and holomorphic motions with applications to monotonicity for interval maps. Zbl 1453.37044
Levin, Genadi; Shen, Weixiao; van Strien, Sebastian
9
2020
On the Cauchy transform vanishing outside a compact. Zbl 1461.30087
Levin, Genadi
2
2020
Rays to renormalizations. Zbl 1476.37070
Levin, Genadi
1
2020
Transversality for critical relations of families of rational maps: an elementary proof. Zbl 1446.37047
Levin, Genadi; Shen, Weixiao; van Strien, Sebastian
4
2019
Limit drift. Zbl 1380.37084
Levin, Genadi; ŚwiąTek, Grzegorz
2
2017
An extended Fatou-Shishikura inequality and wandering branch continua for polynomials. Zbl 1393.37058
Blokh, Alexander; Childers, Doug; Levin, Genadi; Oversteegen, Lex; Schleicher, Dierk
10
2016
The Lyapunov exponent of holomorphic maps. Zbl 1352.37136
Levin, Genadi; Przytycki, Feliks; Shen, Weixiao
7
2016
Perturbations of weakly expanding critical orbits. Zbl 1348.37075
Levin, Genadi
10
2014
Addendum to: “Rigidity and non-local connectivity of Julia sets of some quadratic polynomials”. Zbl 1283.37051
Levin, Genadi
2
2014
On the Hausdorff dimension of Julia sets of some real polynomials. Zbl 1291.37079
Levin, Genadi; Zinsmeister, Michel
3
2013
Common limits of Fibonacci circle maps. Zbl 1267.37038
Levin, Genadi; Świątek, Grzegorz
4
2012
Multipliers of periodic orbits in spaces of rational maps. Zbl 1209.37052
Levin, Genadi
10
2011
Rigidity and non-local connectivity of Julia sets of some quadratic polynomials. Zbl 1242.37031
Levin, Genadi
8
2011
Measure of the Julia set of the Feigenbaum map with infinite criticality. Zbl 1246.37072
Levin, Genadi; Świątek, Grzegorz
3
2010
Multipliers of periodic orbits of quadratic polynomials and the parameter plane. Zbl 1177.37048
Levin, Genadi
11
2009
Suboptimal reduced-order filtering through an LMI-based method. Zbl 1373.94595
Geromel, J. C.; Levin, G.
6
2006
Dynamics and universality of unimodal mappings with infinite criticality. Zbl 1080.37043
Levin, Genadi; Światek, Grzegorz
8
2005
Hausdorff dimension of Julia sets of Feigenbaum polynomials with high criticality. Zbl 1080.37055
Levin, Genadi; Światek, Grzegorz
6
2005
On Hausdorff dimension of some Cantor attractors. Zbl 1147.37332
Levin, G.; Przytycki, F.
3
2005
Thickness of Julia sets of Feigenbaum polynomials with high order critical points. Zbl 1052.37040
Levin, Genadi; Świątek, Grzegorz
2
2004
On explicit connections between dynamical and parameter spaces. Zbl 1073.37054
Levin, Genadi
5
2003
An inequality for laminations, Julia sets and “growing trees”. Zbl 1067.37058
Blokh, A.; Levin, G.
27
2002
On an analytic approach to the Fatou conjecture. Zbl 0984.37046
Levin, Genadi
19
2002
Universality of critical circle covers. Zbl 1119.37312
Levin, G.; Świątek, G.
7
2002
On dynamics of vertices of locally connected polynomial Julia sets. Zbl 1080.37054
Blokh, A.; Levin, G.
3
2002
Letter to the editor: On symmetries on a Julia set. Zbl 1051.30502
Levin, G. M.
4
2001
Bounds for maps of an interval with one critical point of inflection type. II. Zbl 0986.37027
Levin, Genadi; van Strien, Sebastian
14
2000
Total disconnectedness of Julia sets and absence of invariant linefields for real polynomials. Zbl 0939.37027
Levin, Genadi; van Strien, Sebastian
5
2000
Local connectivity of the Julia set of real polynomials. Zbl 0941.37031
Levin, Genadi; van Strien, Sebastian
30
1998
On backward stability of holomorphic dynamical systems. Zbl 0915.58089
Levin, G.
20
1998
Bounds for maps of an interval with one reflecting critical point. I. Zbl 0915.58028
Levin, Genadi
3
1998
When do two rational functions have the same Julia set? Zbl 0870.58085
Levin, G.; Przytycki, F.
19
1997
External rays to periodic points. Zbl 0854.30020
Levin, G.; Przytycki, F.
19
1996
Disconnected Julia set and rotation sets. Zbl 0857.30024
Levin, Genadi
4
1996
Ruelle operators with rational weights for Julia sets. Zbl 0988.37026
Levin, G.; Sodin, M.; Yuditskii, P.
5
1994
On Mayer’s conjecture and zeros of entire functions. Zbl 0805.47061
Levin, G.
3
1994
On the complement of the Mandelbrot set. Zbl 0817.30012
Levin, G. M.
2
1994
On the distribution of zeros of a Ruelle zeta-function. Zbl 0788.58045
Eremenko, A.; Levin, G.; Sodin, M.
2
1994
Polynomials with the nonconnected Julia set and the Green mapping. Zbl 0792.30019
Levin, G. M.; Sodin, M. L.
5
1992
Estimates of characteristic exponents of a polynomial. Zbl 0802.30027
Eremenko, A. Eh.; Levin, G. M.
1
1992
A Ruelle operator for a real Julia set. Zbl 0749.58039
Levin, G. M.; Sodin, M. L.; Yuditskij, P. M.
11
1991
On Pommerenke’s inequality for the eigenvalues of fixed points. Zbl 0742.30026
Levin, G. M.
8
1991
Symmetries on a Julia set. Zbl 0816.30021
Levin, G. M.
5
1991
On an optimization problem for transfer functions of network elements and applications to transmission designing. Zbl 0736.90076
Verina, L. F.; Levin, G. M.
1
1991
Theory of iterations of polynomial families in the complex plane. Zbl 0716.30017
Levin, G. M.
10
1990
Symmetries on the Julia set. Zbl 0724.30021
Levin, G. M.
10
1990
On symmetries on a Julia set. Zbl 0709.30021
Levin, G. M.
2
1990
Parametric decomposition of problems of minimizing composite functions on parametrized paths of directed graphs. Zbl 0747.90100
Gushchinskij, N. N.; Levin, G. M.; Tanaev, V. S.
1
1990
On periodic points of polynomials. Zbl 0686.30019
Eremenko, A. Eh.; Levin, G. M.
10
1989
Periodic points of polynomials. Zbl 0704.30033
Eremenko, A. Eh.; Levin, G. M.
10
1989
On the theory of iterations of polynomial families on the complex plane. Zbl 0698.30021
Levin, G. M.
4
1989
On the arithmetic properties of a certain sequence of polynomials. Zbl 0655.30019
Levin, G. M.
3
1988
Parametric decomposition of extremal problems: A general approach and some applications. Zbl 0678.90079
Verina, L. F.; Levin, G. M.; Tanaev, V. S.
2
1988
On an estimation of the chromatic characteristics of a compound graph. Zbl 0488.05035
Levin, G. M.
2
1982
On sequences of bifurcations of a one-parameter family of mappings. Zbl 0506.58025
Levin, G. M.
2
1982
On non-regular values of the parameter of a family of polynomial maps. Zbl 0513.30003
Levin, G. M.
4
1981
A Cantor limit set. Zbl 0482.39002
Barkovskij, Yu. S.; Levin, G. M.
2
1980
On the optimization of functions given recurrently on weakly normalized permutation sets. Zbl 0445.90103
Levin, G. M.
1
1980
On the theory of decomposing extremal problems. Zbl 0362.90087
Levin, G. M.; Tanaev, V. S.
1
1974
Parametric decomposition of extremal problems. Zbl 0362.90088
Levin, G. M.; Tanaev, V. S.
1
1974
Homological dimensions and Macaulay rings. Zbl 0161.03903
Levin, G.; Vasconcelos, W. V.
31
1968
all top 5

Cited by 248 Authors

32 Levin, Genadi M.
26 Blokh, Alexander M.
20 Oversteegen, Lex G.
11 Timorin, Vladlen Anatol’evich
11 van Strien, Sebastian J.
9 Lyubich, Mikhail
9 Przytycki, Feliks
8 Shen, Weixiao
8 Świątek, Grzegorz
6 Gauthier, Thomas
5 Celikbas, Olgur
5 Misiurewicz, Michał
5 Ptacek, Ross
5 Sharp, Rodney Y.
5 Takahashi, Ryo
4 Benini, Anna Miriam
4 Clark, Trevor
4 Curry, Clinton P.
4 Gao, Yan
4 Gorbovickis, Igors
4 Makienko, Peter M.
4 Roesch, Pascale
4 Schleicher, Dierk
4 Vigny, Gabriel
3 Astorg, Matthieu
3 Avila, Artur
3 Baladi, Viviane
3 Bergweiler, Walter
3 Bruin, Henk
3 Cabrera, Carlos
3 Cui, Guizhen
3 de Melo, Welington
3 DeMarco, Laura Grace
3 Dobbs, Neil B.
3 Dujardin, Romain
3 Eremenko, Alexandre Émmanuilovich
3 Graczyk, Jacek
3 Kiwi, Jan
3 Lei, Tan
3 Mihalache-Ciurdea, Nicolae
3 Okuyama, Yûsuke
3 Peng, Wenjuan
3 Petersen, Carsten Lunde
3 Qiu, Weiyuan
3 Rivera-Letelier, Juan
3 Rodrigues, Ana
3 Ye, Hexi
3 Zeng, Jinsong
2 Aspenberg, Magnus
2 Bandtlow, Oscar F.
2 Benedicks, Michael
2 Bera, Sayani
2 Bylund, Mats
2 Cheraghi, Davoud
2 Drach, Kostiantyn
2 Dudko, Artem
2 Favre, Charles
2 Filom, Khashayar
2 Firsova, Tanya
2 Gheibi, Mohsen
2 Gordon, Valery S.
2 Kawahira, Tomoki
2 Kovalëv, Mikhail Yakovlevich
2 Kozlovski, Oleg S.
2 Mayer, John C.
2 Pakovich, Fedor
2 Pal, Ratna
2 Peters, Han
2 Puthenpurakal, Tony J.
2 Rempe-Gillen, Lasse
2 Ries, Bernard
2 Sadeghi, Arash
2 Schnellmann, Daniel
2 Shimauchi, Hirokazu
2 Silverman, Joseph Hillel
2 Smania, Daniel
2 Smirnov, Stanislav Konstantinovich
2 Snoha, Ľubomír
2 Sodin, Mikhail
2 Sotskov, Yuri N.
2 Špitalský, Vladimír
2 Strusevich, Vitaly A.
2 Tien Cuong Dinh
2 Tuzikov, Alexander V.
2 Vargas, Edson
2 Vasconcelos, Wolmer V.
2 Wang, Da
2 Yampolsky, Michael
2 Yin, Yongcheng
2 Zakeri, Saeed
1 Arfeux, Matthieu
1 Arteaga, Carlos L.
1 Bahlekeh, Abdolnaser
1 Baker, Matthew H.
1 Balibrea, Francisco
1 Barrett, Matthew
1 Bassanelli, Giovanni
1 Belova, Anna Sergeevna
1 Bencs, Ferenc
1 Berteloot, François
...and 148 more Authors
all top 5

Cited in 86 Serials

22 Ergodic Theory and Dynamical Systems
15 Communications in Mathematical Physics
15 Transactions of the American Mathematical Society
13 Proceedings of the American Mathematical Society
11 Advances in Mathematics
9 Inventiones Mathematicae
8 Israel Journal of Mathematics
8 Journal of Algebra
7 Conformal Geometry and Dynamics
7 Science China. Mathematics
5 Nonlinearity
5 Fundamenta Mathematicae
5 Discrete and Continuous Dynamical Systems
4 Journal d’Analyse Mathématique
4 Journal of the American Mathematical Society
4 Journal of Difference Equations and Applications
4 Arnold Mathematical Journal
3 Annales de l’Institut Fourier
3 Compositio Mathematica
3 Duke Mathematical Journal
3 Journal of Pure and Applied Algebra
3 Mathematische Zeitschrift
3 Memoirs of the American Mathematical Society
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Journal of Modern Dynamics
3 Kyoto Journal of Mathematics
2 Journal of Mathematical Analysis and Applications
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Illinois Journal of Mathematics
2 Monatshefte für Mathematik
2 Proceedings of the London Mathematical Society. Third Series
2 Geometric and Functional Analysis. GAFA
2 Indagationes Mathematicae. New Series
2 Experimental Mathematics
2 Acta Mathematica Sinica. English Series
2 Computational Methods and Function Theory
2 Journal of Commutative Algebra
2 Analysis and Mathematical Physics
1 American Mathematical Monthly
1 Discrete Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Arkiv för Matematik
1 American Journal of Mathematics
1 Applied Mathematics and Computation
1 Glasgow Mathematical Journal
1 Publications Mathématiques
1 Journal of the London Mathematical Society. Second Series
1 Mathematische Annalen
1 Numerische Mathematik
1 Osaka Journal of Mathematics
1 Results in Mathematics
1 Siberian Mathematical Journal
1 European Journal of Combinatorics
1 Probability Theory and Related Fields
1 Science in China. Series A
1 International Journal of Algebra and Computation
1 The Journal of Geometric Analysis
1 Automation and Remote Control
1 Bulletin of the American Mathematical Society. New Series
1 Bulletin of the Polish Academy of Sciences, Mathematics
1 Boletim da Sociedade Brasileira de Matemática. Nova Série
1 Journal of Mathematical Sciences (New York)
1 Bulletin des Sciences Mathématiques
1 Annales Academiae Scientiarum Fennicae. Mathematica
1 Taiwanese Journal of Mathematics
1 Journal of Scheduling
1 Algebras and Representation Theory
1 Chaos
1 Annals of Mathematics. Second Series
1 Interdisciplinary Information Sciences (IIS)
1 Journal of the European Mathematical Society (JEMS)
1 Communications in Nonlinear Science and Numerical Simulation
1 Annales Mathematicae Silesianae
1 Qualitative Theory of Dynamical Systems
1 Dynamical Systems
1 Moscow Mathematical Journal
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of Algebra and its Applications
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Bulletin of the American Mathematical Society
1 Groups, Geometry, and Dynamics
1 Journal of Applied Analysis and Computation
1 Communications in Mathematics and Statistics
1 European Journal of Mathematics

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