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Lei, Tan

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Author ID: lei.tan Recent zbMATH articles by "Lei, Tan"
Published as: Lei, Tan; Tan, L.; Tan, Lei
Homepage: http://math.univ-angers.fr/~tanlei/
External Links: MGP · Wikidata · ORCID · ResearchGate · dblp · GND
Documents Indexed: 49 Publications since 1986, including 1 Book
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH Open

40 Publications have been cited 264 times in 170 Documents Cited by Year
Matings of quadratic polynomials. Zbl 0756.58024
Lei, Tan
33
1992
Local connectivity of the Julia set for geometrically finite rational maps. Zbl 0858.30021
Tan, Lei; Yin, Yongcheng
24
1996
Similarity between the Mandelbrot set and Julia sets. Zbl 0726.58026
Lei, Tan
17
1990
A characterization of hyperbolic rational maps. Zbl 1230.37052
Cui, Guizhen; Tan, Lei
16
2011
An alternative proof of Mañé’s theorem on non-expanding Julia sets. Zbl 1062.37046
Shishikura, Mitsuhiro; Lei, Tan
16
2000
A family of cubic rational maps and matings of cubic polynomials. Zbl 0969.37020
Shishikura, Mitsuhiro; Lei, Tan
16
2000
Rational maps with disconnected Julia set. Zbl 0941.30014
Pilgrim, Kevin; Lei, Tan
16
2000
Branched coverings and cubic Newton maps. Zbl 0903.58029
Tan, Lei
15
1997
Combining rational maps and controlling obstructions. Zbl 0915.58043
Pilgrim, Kevin M.; Lei, Tan
11
1998
Teichmüller spaces and holomorphic dynamics. Zbl 1314.30079
Buff, Xavier; Gui, Guizhen; Tan, Lei
9
2014
Convergence of pinching deformations and matings of geometrically finite polynomials. Zbl 1048.37045
Haïssinsky, Peter; Tan, Lei
9
2004
The quadratic dynatomic curves are smooth and irreducible. Zbl 1345.37050
Buff, Xavier; Lei, Tan
7
2014
Dynamical convergence and polynomial vector fields. Zbl 1126.37029
Buff, Xavier; Tan, Lei
7
2007
On pinching deformations of rational maps. Zbl 1041.37022
Tan, Lei
6
2002
Questions about polynomial matings. Zbl 1364.37099
Buff, Xavier; Epstein, Adam L.; Koch, Sarah; Meyer, Daniel; Pilgrim, Kevin; Rees, Mary; Lei, Tan
5
2012
Renormalizations and wandering Jordan curves of rational maps. Zbl 1362.37095
Cui, Guizhen; Peng, Wenjuan; Tan, Lei
4
2016
On a theorem of Rees-Shishikura. Zbl 1283.37050
Cui, Guizhen; Peng, Wenjuan; Tan, Lei
4
2012
Analytic coordinates recording cubic dynamics. Zbl 1180.37060
Petersen, Carsten Lunde; Lei, Tan
4
2009
Branner-Hubbard motions and attracting dynamics. Zbl 1149.37312
Petersen, C. L.; Lei, Tan
4
2006
Hausdorff dimension of subsets of the parameter space for families of rational maps. (A generalization of Shishikura’s result). Zbl 1019.37502
Lei, Tan
4
1998
Hyperbolic-parabolic deformations of rational maps. Zbl 1404.37049
Cui, Guizhen; Tan, Lei
3
2018
A tableau approach of the KSS nest. Zbl 1189.37052
Peng, Wenjuan; Qiu, Weiyuan; Roesch, Pascale; Tan, Lei; Yin, Yongcheng
3
2010
The unicritical Branner-Hubbard conjecture. Zbl 1190.37056
Lei, Tan; Yongcheng, Yin
3
2009
Stretching rays and their accumulations, following Pia Willumsen. Zbl 1159.37015
Lei, Tan
3
2006
The Mandelbrot set, theme and variations. Zbl 0935.00019
Lei, Tan
3
2000
On parameter space of complex polynomial vector fields in \(\mathbb{C}\). Zbl 1362.37099
Dias, Kealey; Lei, Tan
2
2016
A refinement of the Gauss-Lucas theorem (after W. P. Thurston). Zbl 1320.30013
Chéritat, Arnaud; Gao, Yan; Ou, Yafei; Tan, Lei
2
2015
Distortion control of conjugacies between quadratic polynomials. Zbl 1242.37033
Cui, GuiZhen; Tan, Lei
2
2010
Combinatorial rigidity of unicritical maps. Zbl 1244.37030
Peng, WenJuan; Tan, Lei
2
2010
Local properties of the Mandelbrot set at parabolic points. Zbl 1062.37044
Tan, Lei
2
2000
Connected neighbourhoods of Misiurewicz points. Zbl 0758.30024
Lei, Tan
2
1992
Accouplements des polynômes quadratiques complexes. (Matings of complex polynomials of degree 2). Zbl 0596.58043
Lei, Tan
2
1986
On balanced planar graphs, following W. Thurston. Zbl 1452.57020
Koch, Sarah; Lei, Tan
1
2020
Rational maps as Schwarzian primitives. Zbl 1352.30027
Cui, GuiZhen; Gao, Yan; Rugh, Hans Henrik; Tan, Lei
1
2016
Kneading with weights. Zbl 1352.37118
Rugh, Hans Henrik; Tan, Lei
1
2015
Quasi-conformal rigidity of multicritical maps. Zbl 1359.37104
Peng, Wenjuan; Tan, Lei
1
2015
On the topology of wandering Julia components. Zbl 1234.37038
Cui, Guizhen; Peng, Wenjuan; Tan, Lei
1
2011
Spinning deformations of rational maps. Zbl 1084.37039
Pilgrim, Kevin M.; Lei, Tan
1
2004
On Cui’s extensions and applications of Thurston theorem. Zbl 1201.37073
Lei, Tan
1
2003
Continuous and discrete Newton’s algorithms. Zbl 0824.65029
Tan, Lei
1
1994
On balanced planar graphs, following W. Thurston. Zbl 1452.57020
Koch, Sarah; Lei, Tan
1
2020
Hyperbolic-parabolic deformations of rational maps. Zbl 1404.37049
Cui, Guizhen; Tan, Lei
3
2018
Renormalizations and wandering Jordan curves of rational maps. Zbl 1362.37095
Cui, Guizhen; Peng, Wenjuan; Tan, Lei
4
2016
On parameter space of complex polynomial vector fields in \(\mathbb{C}\). Zbl 1362.37099
Dias, Kealey; Lei, Tan
2
2016
Rational maps as Schwarzian primitives. Zbl 1352.30027
Cui, GuiZhen; Gao, Yan; Rugh, Hans Henrik; Tan, Lei
1
2016
A refinement of the Gauss-Lucas theorem (after W. P. Thurston). Zbl 1320.30013
Chéritat, Arnaud; Gao, Yan; Ou, Yafei; Tan, Lei
2
2015
Kneading with weights. Zbl 1352.37118
Rugh, Hans Henrik; Tan, Lei
1
2015
Quasi-conformal rigidity of multicritical maps. Zbl 1359.37104
Peng, Wenjuan; Tan, Lei
1
2015
Teichmüller spaces and holomorphic dynamics. Zbl 1314.30079
Buff, Xavier; Gui, Guizhen; Tan, Lei
9
2014
The quadratic dynatomic curves are smooth and irreducible. Zbl 1345.37050
Buff, Xavier; Lei, Tan
7
2014
Questions about polynomial matings. Zbl 1364.37099
Buff, Xavier; Epstein, Adam L.; Koch, Sarah; Meyer, Daniel; Pilgrim, Kevin; Rees, Mary; Lei, Tan
5
2012
On a theorem of Rees-Shishikura. Zbl 1283.37050
Cui, Guizhen; Peng, Wenjuan; Tan, Lei
4
2012
A characterization of hyperbolic rational maps. Zbl 1230.37052
Cui, Guizhen; Tan, Lei
16
2011
On the topology of wandering Julia components. Zbl 1234.37038
Cui, Guizhen; Peng, Wenjuan; Tan, Lei
1
2011
A tableau approach of the KSS nest. Zbl 1189.37052
Peng, Wenjuan; Qiu, Weiyuan; Roesch, Pascale; Tan, Lei; Yin, Yongcheng
3
2010
Distortion control of conjugacies between quadratic polynomials. Zbl 1242.37033
Cui, GuiZhen; Tan, Lei
2
2010
Combinatorial rigidity of unicritical maps. Zbl 1244.37030
Peng, WenJuan; Tan, Lei
2
2010
Analytic coordinates recording cubic dynamics. Zbl 1180.37060
Petersen, Carsten Lunde; Lei, Tan
4
2009
The unicritical Branner-Hubbard conjecture. Zbl 1190.37056
Lei, Tan; Yongcheng, Yin
3
2009
Dynamical convergence and polynomial vector fields. Zbl 1126.37029
Buff, Xavier; Tan, Lei
7
2007
Branner-Hubbard motions and attracting dynamics. Zbl 1149.37312
Petersen, C. L.; Lei, Tan
4
2006
Stretching rays and their accumulations, following Pia Willumsen. Zbl 1159.37015
Lei, Tan
3
2006
Convergence of pinching deformations and matings of geometrically finite polynomials. Zbl 1048.37045
Haïssinsky, Peter; Tan, Lei
9
2004
Spinning deformations of rational maps. Zbl 1084.37039
Pilgrim, Kevin M.; Lei, Tan
1
2004
On Cui’s extensions and applications of Thurston theorem. Zbl 1201.37073
Lei, Tan
1
2003
On pinching deformations of rational maps. Zbl 1041.37022
Tan, Lei
6
2002
An alternative proof of Mañé’s theorem on non-expanding Julia sets. Zbl 1062.37046
Shishikura, Mitsuhiro; Lei, Tan
16
2000
A family of cubic rational maps and matings of cubic polynomials. Zbl 0969.37020
Shishikura, Mitsuhiro; Lei, Tan
16
2000
Rational maps with disconnected Julia set. Zbl 0941.30014
Pilgrim, Kevin; Lei, Tan
16
2000
The Mandelbrot set, theme and variations. Zbl 0935.00019
Lei, Tan
3
2000
Local properties of the Mandelbrot set at parabolic points. Zbl 1062.37044
Tan, Lei
2
2000
Combining rational maps and controlling obstructions. Zbl 0915.58043
Pilgrim, Kevin M.; Lei, Tan
11
1998
Hausdorff dimension of subsets of the parameter space for families of rational maps. (A generalization of Shishikura’s result). Zbl 1019.37502
Lei, Tan
4
1998
Branched coverings and cubic Newton maps. Zbl 0903.58029
Tan, Lei
15
1997
Local connectivity of the Julia set for geometrically finite rational maps. Zbl 0858.30021
Tan, Lei; Yin, Yongcheng
24
1996
Continuous and discrete Newton’s algorithms. Zbl 0824.65029
Tan, Lei
1
1994
Matings of quadratic polynomials. Zbl 0756.58024
Lei, Tan
33
1992
Connected neighbourhoods of Misiurewicz points. Zbl 0758.30024
Lei, Tan
2
1992
Similarity between the Mandelbrot set and Julia sets. Zbl 0726.58026
Lei, Tan
17
1990
Accouplements des polynômes quadratiques complexes. (Matings of complex polynomials of degree 2). Zbl 0596.58043
Lei, Tan
2
1986
all top 5

Cited by 185 Authors

13 Lei, Tan
8 Pilgrim, Kevin M.
8 Yang, Fei
8 Yin, Yongcheng
6 Cui, Guizhen
6 Qiu, Weiyuan
5 Chéritat, Arnaud
5 Doyle, John R.
5 Fagella, Núria
5 Peng, Wenjuan
5 Timorin, Vladlen Anatol’evich
4 Aspenberg, Magnus
4 Blokh, Alexander M.
4 Buff, Xavier
4 Gao, Yan
4 Jaksztas, Ludwik
4 Oversteegen, Lex G.
4 Schleicher, Dierk
4 Wang, Xiaoguang
3 Bullett, Shaun R.
3 Dias, Kealey
3 Epstein, Adam Lawrence
3 Garijo, Antonio
3 Godillon, Sébastien
3 Jiang, Yunping
3 Kawahira, Tomoki
3 Lodge, Russell
3 Meyer, Daniel
3 Roesch, Pascale
3 Yampolsky, Michael
3 Zeng, Jinsong
2 Bartholdi, Laurent
2 Branner, Bodil
2 Cabrera, Carlos
2 DeMarco, Laura Grace
2 Devaney, Robert L.
2 Drach, Kostiantyn
2 Dudko, Dzmitry
2 Graczyk, Jacek
2 Hawkins, Jane M.
2 Henriksen, Christian
2 Honorato, Gerardo
2 Hubbard, John Hamal
2 Jarque, Xavier
2 Kelsey, Gregory A.
2 Kiwi, Jan
2 Koch, Sarah Colleen
2 Lomonaco, Luna
2 Makienko, Peter M.
2 Mamayusupov, Khudoyor
2 McMullen, Curtis Tracy
2 Milnor, John Willard
2 Muciño-Raymundo, Jesús
2 Mukherjee, Sabyasachi
2 Petersen, Carsten Lunde
2 Ptacek, Ross
2 Selinger, Nikita
2 Sharland, Thomas
2 Steinmetz, Norbert
2 Świątek, Grzegorz
2 Thurston, Dylan Paul
2 Xiao, Yingqing
1 Alvarez-Parrilla, Alvaro
1 Arfeux, Matthieu
1 Ashish
1 Astorg, Matthieu
1 Ávarez-Parrilla, Á.
1 Avila Cordeiro de Melo, Artur
1 Barański, Krzysztof
1 Bedford, Tim
1 Berteloot, François
1 Bharali, Gautam
1 Bianchi, Fabrizio
1 Bielefeld, Ben
1 Biś, Andrzej
1 Blé, Gamaliel
1 Bonk, Mario
1 Boyd, Suzanne Hruska
1 Brezin, Eva
1 Byrne, Rosemary
1 Campos, Beatriz
1 Chen, Elizabeth R.
1 Chen, Tao
1 Cheng, Chia-Chin
1 Childers, Doug
1 Chugh, Renu
1 Cordwell, Kristin
1 De Leo, Roberto
1 Dudko, Artem
1 Dujardin, Romain
1 Dutkay, Dorin Ervin
1 Ecalle, Jean P.
1 Eremenko, Alexandre Émmanuilovich
1 Filom, Khashayar
1 Fisher, Albert Meads
1 Fisher, Yuval
1 Fu, JianXun
1 Fu, Yuming
1 Gauthier, Thomas
1 Gilbertson, Selina
...and 85 more Authors
all top 5

Cited in 59 Serials

16 Conformal Geometry and Dynamics
10 Advances in Mathematics
9 Inventiones Mathematicae
9 Transactions of the American Mathematical Society
9 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
9 Discrete and Continuous Dynamical Systems
8 Ergodic Theory and Dynamical Systems
7 Proceedings of the American Mathematical Society
6 Communications in Mathematical Physics
6 Science in China. Series A
4 Journal of Mathematical Analysis and Applications
4 The Journal of Geometric Analysis
4 Science China. Mathematics
3 Israel Journal of Mathematics
3 Topology and its Applications
3 Experimental Mathematics
3 Fractals
2 Nonlinearity
2 Acta Mathematica
2 Applied Mathematics and Computation
2 Mathematische Annalen
2 Mathematische Zeitschrift
2 Proceedings of the London Mathematical Society. Third Series
2 Journal of the American Mathematical Society
2 Annals of Mathematics. Second Series
2 Acta Mathematica Sinica. English Series
2 Qualitative Theory of Dynamical Systems
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Computational Methods and Function Theory
2 Arnold Mathematical Journal
1 Journal d’Analyse Mathématique
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Annales de l’Institut Fourier
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Fundamenta Mathematicae
1 Geometriae Dedicata
1 Illinois Journal of Mathematics
1 Journal of Differential Equations
1 Memoirs of the American Mathematical Society
1 Monatshefte für Mathematik
1 Osaka Journal of Mathematics
1 Tokyo Journal of Mathematics
1 Discrete & Computational Geometry
1 Geometric and Functional Analysis. GAFA
1 Bulletin of the American Mathematical Society. New Series
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Applied Mathematics. Series B (English Edition)
1 Journal of Difference Equations and Applications
1 Electronic Research Announcements of the American Mathematical Society
1 Miscelánea Matemática
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Complex Variables and Elliptic Equations
1 Journal of Modern Dynamics
1 Discrete and Continuous Dynamical Systems. Series S
1 Symmetry
1 Analysis and Mathematical Physics
1 Journal of Fractal Geometry
1 Research in the Mathematical Sciences
1 Journal de l’École Polytechnique – Mathématiques

Citations by Year

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