## Lei, Tan

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 Author ID: lei.tan Published as: Lei, Tan; Tan, Lei Homepage: http://math.univ-angers.fr/~tanlei/ External Links: MGP · ORCID · Wikidata · ResearchGate · dblp · GND · IdRef · theses.fr
 Documents Indexed: 52 Publications since 1986, including 1 Book 2 Further Contributions Biographic References: 1 Publication Co-Authors: 36 Co-Authors with 31 Joint Publications 628 Co-Co-Authors
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### Co-Authors

 13 single-authored 7 Cui, Guizhen 6 Peng, Wenjuan 5 Buff, Xavier 5 Pilgrim, Kevin M. 3 Petersen, Carsten Lunde 3 Woodard, Richard P. 2 Epstein, Adam Lawrence 2 Gao, Yan 2 Haïssinsky, Peter 2 Koch, Sarah Colleen 2 Rugh, Hans Henrik 2 Shishikura, Mitsuhiro 2 Yin, Yongcheng 1 Agol, Ian 1 Baik, Hyungryul 1 Branner, Bodil 1 Bullett, Shaun R. 1 Calegari, Danny Matthew Cornelius 1 Cao, Shuliang 1 Chai, Yifeng 1 Chéritat, Arnaud 1 Dias, Kealey 1 Ding, Guoli 1 Fagella, Núria 1 Farb, Benson 1 Gabai, David 1 Gu, Huai-Qiang 1 Gui, Guizhen 1 Hao, Huo-Fan 1 Henriksen, Christian 1 Hubbard, John Hamal 1 Jiang, Chunlei 1 Kerckhoff, Steve 1 Li, Ling 1 Liang, Kaihong 1 Lindsey, Kathryn A. 1 McMullen, Curtis Tracy 1 Meyer, Daniel 1 Miao, S. P. 1 Milnor, John Willard 1 Minsky, Yair N. 1 Mosher, Lee 1 Ou, Yafei 1 Peng, Zhaohui 1 Qiu, Weiyuan 1 Rees, Mary 1 Roesch, Pascale 1 Song, Xinmin 1 Thurston, Dylan Paul 1 Thurston, William Paul 1 Tsamis, N. C. 1 Walsh, Genevieve S. 1 Wang, Yuchuan 1 Weeks, Jeff 1 Wood, Carol 1 Yampolsky, Michael 1 Yan, Gao 1 Yan, Xuehua 1 Yongcheng, Yin 1 Zang, Wenan 1 Zang, Xiaofei 1 Zeng, Ke 1 Zhang, Jiawei 1 Zhang, Yuqing 1 Zhu, Baoshan 1 Zhu, Zhonghua
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### Serials

 4 Science China. Mathematics 2 Classical and Quantum Gravity 2 Communications in Mathematical Physics 2 Fundamenta Mathematicae 2 Ergodic Theory and Dynamical Systems 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Experimental Mathematics 2 Conformal Geometry and Dynamics 1 International Journal of Modern Physics B 1 Computers and Fluids 1 International Journal of Theoretical Physics 1 Nonlinearity 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Gazette des Mathématiciens 1 Inventiones Mathematicae 1 Journal of Differential Equations 1 Journal of Differential Geometry 1 Mathematics of Operations Research 1 Transactions of the American Mathematical Society 1 Bulletin of the Iranian Mathematical Society 1 Science in China. Series A 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Notices of the American Mathematical Society 1 Complexity 1 Discrete and Continuous Dynamical Systems 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Cosmology and Astroparticle Physics 1 Cambridge Studies in Advanced Mathematics 1 London Mathematical Society Lecture Note Series 1 Journal of Fractal Geometry
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### Fields

 36 Dynamical systems and ergodic theory (37-XX) 15 Functions of a complex variable (30-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Relativity and gravitational theory (83-XX) 2 History and biography (01-XX) 2 Manifolds and cell complexes (57-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

44 Publications have been cited 444 times in 193 Documents Cited by Year
Geometry and dynamics of quadratic rational maps (with an appendix by J. Milnor and Tan Lei). Zbl 0922.58062
Milnor, John
1993
Matings of quadratic polynomials. Zbl 0756.58024
Lei, Tan
1992
Quasiconformal surgery in holomorphic dynamics. With contributions by Xavier Buff, Shaun Bullett, Adam L. Epstein, Peter Haïssinsky, Christian Henriksen, Carsten L. Petersen, Kevin M. Pilgrim, Tan Lei and Michael Yampolsky. Zbl 1319.37003
Branner, Bodil; Fagella, Núria
2014
Local connectivity of the Julia set for geometrically finite rational maps. Zbl 0858.30021
Tan, Lei; Yin, Yongcheng
1996
Rational maps with disconnected Julia set. Zbl 0941.30014
Pilgrim, Kevin; Lei, Tan
2000
A characterization of hyperbolic rational maps. Zbl 1230.37052
Cui, Guizhen; Tan, Lei
2011
A family of cubic rational maps and matings of cubic polynomials. Zbl 0969.37020
Shishikura, Mitsuhiro; Lei, Tan
2000
Similarity between the Mandelbrot set and Julia sets. Zbl 0726.58026
Lei, Tan
1990
An alternative proof of Mañé’s theorem on non-expanding Julia sets. Zbl 1062.37046
Shishikura, Mitsuhiro; Lei, Tan
2000
Branched coverings and cubic Newton maps. Zbl 0903.58029
Tan, Lei
1997
Combining rational maps and controlling obstructions. Zbl 0915.58043
Pilgrim, Kevin M.; Lei, Tan
1998
Teichmüller spaces and holomorphic dynamics. Zbl 1314.30079
Buff, Xavier; Gui, Guizhen; Tan, Lei
2014
Convergence of pinching deformations and matings of geometrically finite polynomials. Zbl 1048.37045
Haïssinsky, Peter; Tan, Lei
2004
The quadratic dynatomic curves are smooth and irreducible. Zbl 1345.37050
Buff, Xavier; Lei, Tan
2014
Questions about polynomial matings. Zbl 1364.37099
Buff, Xavier; Epstein, Adam L.; Koch, Sarah; Meyer, Daniel; Pilgrim, Kevin; Rees, Mary; Lei, Tan
2012
On pinching deformations of rational maps. Zbl 1041.37022
Tan, Lei
2002
Dynamical convergence and polynomial vector fields. Zbl 1126.37029
Buff, Xavier; Tan, Lei
2007
Hausdorff dimension of subsets of the parameter space for families of rational maps. (A generalization of Shishikura’s result). Zbl 1019.37502
Lei, Tan
1998
Hyperbolic-parabolic deformations of rational maps. Zbl 1404.37049
Cui, Guizhen; Tan, Lei
2018
Renormalizations and wandering Jordan curves of rational maps. Zbl 1362.37095
Cui, Guizhen; Peng, Wenjuan; Tan, Lei
2016
Branner-Hubbard motions and attracting dynamics. Zbl 1149.37312
Petersen, C. L.; Lei, Tan
2006
On a theorem of Rees-Shishikura. Zbl 1283.37050
Cui, Guizhen; Peng, Wenjuan; Tan, Lei
2012
Local properties of the Mandelbrot set at parabolic points. Zbl 1062.37044
Tan, Lei
2000
The unicritical Branner-Hubbard conjecture. Zbl 1190.37056
Lei, Tan; Yongcheng, Yin
2009
Analytic coordinates recording cubic dynamics. Zbl 1180.37060
Petersen, Carsten Lunde; Lei, Tan
2009
A tableau approach of the KSS nest. Zbl 1189.37052
Peng, Wenjuan; Qiu, Weiyuan; Roesch, Pascale; Tan, Lei; Yin, Yongcheng
2010
Stretching rays and their accumulations, following Pia Willumsen. Zbl 1159.37015
Lei, Tan
2006
The Mandelbrot set, theme and variations. Zbl 0935.00019
Lei, Tan
2000
Spinning deformations of rational maps. Zbl 1084.37039
Pilgrim, Kevin M.; Lei, Tan
2004
Rational maps as Schwarzian primitives. Zbl 1352.30027
Cui, GuiZhen; Gao, Yan; Rugh, Hans Henrik; Tan, Lei
2016
Rugh, Hans Henrik; Tan, Lei
2015
On the topology of wandering Julia components. Zbl 1234.37038
Cui, Guizhen; Peng, Wenjuan; Tan, Lei
2011
A refinement of the Gauss-Lucas theorem (after W. P. Thurston). (Un raffinement du théorème de Gauss-Lucas (d’après W.P. Thurston).) Zbl 1320.30013
Chéritat, Arnaud; Gao, Yan; Ou, Yafei; Tan, Lei
2015
Connected neighbourhoods of Misiurewicz points. (Voisinages connexes des points de Misiurewicz.) Zbl 0758.30024
Lei, Tan
1992
On parameter space of complex polynomial vector fields in $$\mathbb{C}$$. Zbl 1362.37099
Dias, Kealey; Lei, Tan
2016
Combinatorial rigidity of unicritical maps. Zbl 1244.37030
Peng, WenJuan; Tan, Lei
2010
Distortion control of conjugacies between quadratic polynomials. Zbl 1242.37033
Cui, GuiZhen; Tan, Lei
2010
Accouplements des polynômes quadratiques complexes. (Matings of complex polynomials of degree 2). Zbl 0596.58043
Lei, Tan
1986
When is the matching polytope box-totally dual integral? Zbl 1432.90084
Ding, Guoli; Tan, Lei; Zang, Wenan
2018
Degree-$$d$$-invariant laminations. Zbl 1452.37055
Thurston, William P.; Baik, Hyungryul; Yan, Gao; Hubbard, John H.; Lindsey, Kathryn A.; Lei, Tan; Thurston, Dylan P.
2020
Quasi-conformal rigidity of multicritical maps. Zbl 1359.37104
Peng, Wenjuan; Tan, Lei
2015
Continuous and discrete Newton’s algorithms. Zbl 0824.65029
Tan, Lei
1994
On Cui’s extensions and applications of Thurston theorem. Zbl 1201.37073
Lei, Tan
2003
On balanced planar graphs, following W. Thurston. Zbl 1452.57020
Koch, Sarah; Lei, Tan
2020
Degree-$$d$$-invariant laminations. Zbl 1452.37055
Thurston, William P.; Baik, Hyungryul; Yan, Gao; Hubbard, John H.; Lindsey, Kathryn A.; Lei, Tan; Thurston, Dylan P.
2020
On balanced planar graphs, following W. Thurston. Zbl 1452.57020
Koch, Sarah; Lei, Tan
2020
Hyperbolic-parabolic deformations of rational maps. Zbl 1404.37049
Cui, Guizhen; Tan, Lei
2018
When is the matching polytope box-totally dual integral? Zbl 1432.90084
Ding, Guoli; Tan, Lei; Zang, Wenan
2018
Renormalizations and wandering Jordan curves of rational maps. Zbl 1362.37095
Cui, Guizhen; Peng, Wenjuan; Tan, Lei
2016
Rational maps as Schwarzian primitives. Zbl 1352.30027
Cui, GuiZhen; Gao, Yan; Rugh, Hans Henrik; Tan, Lei
2016
On parameter space of complex polynomial vector fields in $$\mathbb{C}$$. Zbl 1362.37099
Dias, Kealey; Lei, Tan
2016
Rugh, Hans Henrik; Tan, Lei
2015
A refinement of the Gauss-Lucas theorem (after W. P. Thurston). (Un raffinement du théorème de Gauss-Lucas (d’après W.P. Thurston).) Zbl 1320.30013
Chéritat, Arnaud; Gao, Yan; Ou, Yafei; Tan, Lei
2015
Quasi-conformal rigidity of multicritical maps. Zbl 1359.37104
Peng, Wenjuan; Tan, Lei
2015
Quasiconformal surgery in holomorphic dynamics. With contributions by Xavier Buff, Shaun Bullett, Adam L. Epstein, Peter Haïssinsky, Christian Henriksen, Carsten L. Petersen, Kevin M. Pilgrim, Tan Lei and Michael Yampolsky. Zbl 1319.37003
Branner, Bodil; Fagella, Núria
2014
Teichmüller spaces and holomorphic dynamics. Zbl 1314.30079
Buff, Xavier; Gui, Guizhen; Tan, Lei
2014
The quadratic dynatomic curves are smooth and irreducible. Zbl 1345.37050
Buff, Xavier; Lei, Tan
2014
Questions about polynomial matings. Zbl 1364.37099
Buff, Xavier; Epstein, Adam L.; Koch, Sarah; Meyer, Daniel; Pilgrim, Kevin; Rees, Mary; Lei, Tan
2012
On a theorem of Rees-Shishikura. Zbl 1283.37050
Cui, Guizhen; Peng, Wenjuan; Tan, Lei
2012
A characterization of hyperbolic rational maps. Zbl 1230.37052
Cui, Guizhen; Tan, Lei
2011
On the topology of wandering Julia components. Zbl 1234.37038
Cui, Guizhen; Peng, Wenjuan; Tan, Lei
2011
A tableau approach of the KSS nest. Zbl 1189.37052
Peng, Wenjuan; Qiu, Weiyuan; Roesch, Pascale; Tan, Lei; Yin, Yongcheng
2010
Combinatorial rigidity of unicritical maps. Zbl 1244.37030
Peng, WenJuan; Tan, Lei
2010
Distortion control of conjugacies between quadratic polynomials. Zbl 1242.37033
Cui, GuiZhen; Tan, Lei
2010
The unicritical Branner-Hubbard conjecture. Zbl 1190.37056
Lei, Tan; Yongcheng, Yin
2009
Analytic coordinates recording cubic dynamics. Zbl 1180.37060
Petersen, Carsten Lunde; Lei, Tan
2009
Dynamical convergence and polynomial vector fields. Zbl 1126.37029
Buff, Xavier; Tan, Lei
2007
Branner-Hubbard motions and attracting dynamics. Zbl 1149.37312
Petersen, C. L.; Lei, Tan
2006
Stretching rays and their accumulations, following Pia Willumsen. Zbl 1159.37015
Lei, Tan
2006
Convergence of pinching deformations and matings of geometrically finite polynomials. Zbl 1048.37045
Haïssinsky, Peter; Tan, Lei
2004
Spinning deformations of rational maps. Zbl 1084.37039
Pilgrim, Kevin M.; Lei, Tan
2004
On Cui’s extensions and applications of Thurston theorem. Zbl 1201.37073
Lei, Tan
2003
On pinching deformations of rational maps. Zbl 1041.37022
Tan, Lei
2002
Rational maps with disconnected Julia set. Zbl 0941.30014
Pilgrim, Kevin; Lei, Tan
2000
A family of cubic rational maps and matings of cubic polynomials. Zbl 0969.37020
Shishikura, Mitsuhiro; Lei, Tan
2000
An alternative proof of Mañé’s theorem on non-expanding Julia sets. Zbl 1062.37046
Shishikura, Mitsuhiro; Lei, Tan
2000
Local properties of the Mandelbrot set at parabolic points. Zbl 1062.37044
Tan, Lei
2000
The Mandelbrot set, theme and variations. Zbl 0935.00019
Lei, Tan
2000
Combining rational maps and controlling obstructions. Zbl 0915.58043
Pilgrim, Kevin M.; Lei, Tan
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
1998
Branched coverings and cubic Newton maps. Zbl 0903.58029
Tan, Lei
1997
Local connectivity of the Julia set for geometrically finite rational maps. Zbl 0858.30021
Tan, Lei; Yin, Yongcheng
1996
Continuous and discrete Newton’s algorithms. Zbl 0824.65029
Tan, Lei
1994
Geometry and dynamics of quadratic rational maps (with an appendix by J. Milnor and Tan Lei). Zbl 0922.58062
Milnor, John
1993
Matings of quadratic polynomials. Zbl 0756.58024
Lei, Tan
1992
Connected neighbourhoods of Misiurewicz points. (Voisinages connexes des points de Misiurewicz.) Zbl 0758.30024
Lei, Tan
1992
Similarity between the Mandelbrot set and Julia sets. Zbl 0726.58026
Lei, Tan
1990
Accouplements des polynômes quadratiques complexes. (Matings of complex polynomials of degree 2). Zbl 0596.58043
Lei, Tan
1986
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### Cited by 203 Authors

 13 Lei, Tan 9 Yang, Fei 9 Yin, Yongcheng 8 Pilgrim, Kevin M. 7 Cui, Guizhen 7 Qiu, Weiyuan 6 Gao, Yan 6 Peng, Wenjuan 5 Chéritat, Arnaud 5 Doyle, John R. 5 Fagella, Núria 5 Timorin, Vladlen Anatol’evich 4 Aspenberg, Magnus 4 Buff, Xavier 4 Garijo, Antonio 4 Jaksztas, Ludwik 4 Lodge, Russell 4 Mukherjee, Sabyasachi 4 Roesch, Pascale 4 Wang, Xiaoguang 4 Zeng, Jinsong 3 Blokh, Alexander M. 3 Bullett, Shaun R. 3 Dias, Kealey 3 Epstein, Adam Lawrence 3 Godillon, Sébastien 3 Jiang, Yunping 3 Kawahira, Tomoki 3 Lyubich, Mikhail 3 Meyer, Daniel 3 Oversteegen, Lex G. 3 Schleicher, Dierk 3 Yampolsky, Michael 2 Bartholdi, Laurent 2 Branner, Bodil 2 Cabrera, Carlos 2 Campos, Beatriz 2 DeMarco, Laura Grace 2 Devaney, Robert L. 2 Drach, Kostiantyn 2 Dudko, Dzmitry 2 Dujardin, Romain 2 Eremenko, Alexandre Émmanuilovich 2 Filom, Khashayar 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 Luo, Yusheng 2 Makienko, Peter M. 2 Mamayusupov, Khudoyor 2 McMullen, Curtis Tracy 2 Milnor, John Willard 2 Muciño-Raymundo, Jesús 2 Papadopoulos, Athanase 2 Peters, Han 2 Petersen, Carsten Lunde 2 Ptacek, Ross 2 Selinger, Nikita 2 Sharland, Thomas 2 Steinmetz, Norbert 2 Świątek, Grzegorz 2 Thurston, Dylan Paul 2 Vindel, Pura 2 Wang, Youming 2 Xiao, Yingqing 2 Zhang, Gaofei 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 Bergweiler, Walter 1 Berteloot, François 1 Bharali, Gautam 1 Bianchi, Fabrizio 1 Biane, Philippe 1 Bielefeld, Ben 1 Biś, Andrzej 1 Blé, Gamaliel 1 Bonk, Mario 1 Boyd, Suzanne Hruska 1 Brezin, Eva 1 Byrne, Rosemary 1 Canela, Jordi 1 Cao, Shiping 1 Chen, Elizabeth R. 1 Chen, Tao 1 Cheng, Chia-Chin 1 Chugh, Renu 1 Cordwell, Kristin ...and 103 more Authors
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### Cited in 65 Serials

 16 Conformal Geometry and Dynamics 12 Transactions of the American Mathematical Society 11 Advances in Mathematics 11 Discrete and Continuous Dynamical Systems 9 Inventiones Mathematicae 9 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 8 Ergodic Theory and Dynamical Systems 7 Proceedings of the American Mathematical Society 6 Communications in Mathematical Physics 6 Science in China. Series A 5 Journal of Mathematical Analysis and Applications 5 Science China. Mathematics 4 The Journal of Geometric Analysis 4 Qualitative Theory of Dynamical Systems 3 Israel Journal of Mathematics 3 Nonlinearity 3 Mathematische Annalen 3 Topology and its Applications 3 Experimental Mathematics 3 Fractals 3 Computational Methods and Function Theory 3 Arnold Mathematical Journal 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Acta Mathematica 2 Applied Mathematics and Computation 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 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal d’Analyse Mathématique 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 Journal of the Korean Mathematical Society 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 The Electronic Journal of Combinatorics 1 Journal of Difference Equations and Applications 1 Electronic Research Announcements of the American Mathematical Society 1 Journal of the European Mathematical Society (JEMS) 1 Journal of High Energy Physics 1 Mathematical Modelling and Analysis 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 Forum of Mathematics, Sigma 1 Journal of Fractal Geometry 1 Research in the Mathematical Sciences 1 Journal de l’École Polytechnique – Mathématiques
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### Cited in 31 Fields

 174 Dynamical systems and ergodic theory (37-XX) 57 Functions of a complex variable (30-XX) 14 Several complex variables and analytic spaces (32-XX) 10 Measure and integration (28-XX) 9 Manifolds and cell complexes (57-XX) 7 Group theory and generalizations (20-XX) 5 Number theory (11-XX) 5 Numerical analysis (65-XX) 4 Combinatorics (05-XX) 4 Algebraic geometry (14-XX) 4 Ordinary differential equations (34-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Real functions (26-XX) 2 Convex and discrete geometry (52-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX)

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