Edit Profile (opens in new tab) He, Zheng-Xu Co-Author Distance Author ID: he.zheng-xu Published as: He, Zheng-Xu; He, Zhengxu; He, Z.-X. more...less Documents Indexed: 36 Publications since 1983 Co-Authors: 8 Co-Authors with 22 Joint Publications 323 Co-Co-Authors all top 5 Co-Authors 14 single-authored 8 Schramm, Oded 7 Freedman, Michael Hartley 3 Liu, Jinsong 3 Rodin, Burton 2 Doyle, Peter G. 2 Wang, Zhenghan 1 Bryson, Steve 1 Moroșanu, Gheorghe all top 5 Serials 4 Annals of Mathematics. Second Series 3 Inventiones Mathematicae 3 Transactions of the American Mathematical Society 3 Discrete & Computational Geometry 2 Proceedings of the American Mathematical Society 2 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 Communications on Pure and Applied Mathematics 1 Journal d’Analyse Mathématique 1 Acta Mathematica 1 American Journal of Mathematics 1 Analele Științifice ale Universității Al. I. Cuza din Iași. (Serie Nouă.) Secțiunea Ia. Matematică-Informatică 1 Geometriae Dedicata 1 Journal of Differential Geometry 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 SIAM Journal on Control and Optimization 1 Topology 1 Bulletin of the American Mathematical Society. New Series 1 Experimental Mathematics 1 Communications in Analysis and Geometry 1 Mathematical Research Letters 1 Acta Mathematica Sinica. English Series all top 5 Fields 19 Functions of a complex variable (30-XX) 8 Manifolds and cell complexes (57-XX) 6 Convex and discrete geometry (52-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Differential geometry (53-XX) 3 Partial differential equations (35-XX) 2 Category theory; homological algebra (18-XX) 2 Algebraic topology (55-XX) 2 Numerical analysis (65-XX) 2 Systems theory; control (93-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 525 times in 347 Documents Cited by ▼ Year ▼ Möbius energy of knots and unknots. Zbl 0817.57011 Freedman, Michael H.; He, Zheng-Xu; Wang, Zhenghan 97 1994 Fixed points, Koebe uniformization and circle packings. Zbl 0777.30002 He, Zheng-Xu; Schramm, Oded 71 1993 Hyperbolic and parabolic packings. Zbl 0830.52010 He, Zheng-Xu; Schramm, O. 44 1995 Divergence-free fields: Energy and asymptotic crossing number. Zbl 0746.57011 Freedman, Michael H.; He, Zhengxu 41 1991 On the convergence of circle packings to the Riemann map. Zbl 0868.30010 He, Zheng-Xu; Schramm, Oded 40 1996 The Euler-Lagrange equation and heat flow for the Möbius energy. Zbl 1042.53043 He, Zheng-Xu 36 2000 Rigidity of infinite disk patterns. Zbl 0922.30020 He, Zheng-Xu 29 1999 The \(C^\infty\)-convergence of hexagonal disk packings to the Riemann map. Zbl 0913.30004 He, Zheng-Xu; Schramm, Oded 27 1998 State constrained control problems governed by variational inequalities. Zbl 0631.49011 He, Zheng-Xu 20 1987 An estimate for hexagonal circle packings. Zbl 0743.52005 He, Zheng-Xu 19 1991 Second derivatives of circles packings and conformal mappings. Zbl 0794.30006 Doyle, Peter; He, Zheng-Xu; Rodin, Burt 13 1994 Rigidity of circle domains whose boundary has \(\sigma\)-finite linear measure. Zbl 0809.30006 He, Zheng-Xu; Schramm, Oded 13 1994 Convergence of circle packings of finite valence to Riemann mappings. Zbl 0777.30003 He, Zheng-Xu; Rodin, Burt 12 1993 Koebe uniformization for “almost circle domains”. Zbl 0830.30006 He, Zheng-Xu; Schramm, Oded 9 1995 Solving Beltrami equations by circle packing. Zbl 0714.30012 He, Zheng-Xu 7 1990 Möbius invariance of knot energy. Zbl 0776.57003 Bryson, Steve; Freedman, Michael H.; He, Zheng-Xu; Wang, Zhenghan 7 1993 Links of tori and the energy of incompressible flows. Zbl 0731.57003 Freedman, Michael H.; He, Zheng-Xu 6 1991 On the Teichmüller theory of circle patterns. Zbl 1318.30017 He, Zhengxu; Liu, Jinsong 6 2013 The inverse Riemann mapping theorem for relative circle domains. Zbl 0860.30005 He, Zheng-Xu; Schramm, Oded 5 1995 A formula for the non-integer powers of the Laplacian. Zbl 0939.46022 He, Zhengxu 5 1999 On the crossing number of high degree satellites of hyperbolic knots. Zbl 0904.57003 He, Zheng-Xu 4 1998 Factoring the logarithmic spiral. Zbl 0622.30011 Freedman, Michael H.; He, Z.-X. 4 1988 On the minimizers of the Möbius cross energy of links. Zbl 1116.58300 He, Zheng-Xu 2 2002 Optimal control of biharmonic variational inequalities. Zbl 0713.49013 He, Zheng-Xu; Moroşanu, Gheorghe 2 1989 The asymptotic value of the circle-packing rigidity constants \(s_ n\). Zbl 0858.30005 Doyle, P.; He, Zheng-Xu; Rodin, B. 2 1994 Some results on homotopy theory of modules. Zbl 0551.55013 He, Zheng-Xu 1 1983 Characterizations of Noetherian and hereditary rings. Zbl 0571.16010 He, Zheng-Xu 1 1985 On weak i-homotopy equivalences of modules. Zbl 0612.55022 He, Zheng-Xu 1 1984 Coarsely quasi-homogeneous circle packings in the hyperbolic plane. Zbl 0806.52013 He, Zheng-Xu 1 1994 On the Teichmüller theory of circle patterns. Zbl 1318.30017 He, Zhengxu; Liu, Jinsong 6 2013 On the minimizers of the Möbius cross energy of links. Zbl 1116.58300 He, Zheng-Xu 2 2002 The Euler-Lagrange equation and heat flow for the Möbius energy. Zbl 1042.53043 He, Zheng-Xu 36 2000 Rigidity of infinite disk patterns. Zbl 0922.30020 He, Zheng-Xu 29 1999 A formula for the non-integer powers of the Laplacian. Zbl 0939.46022 He, Zhengxu 5 1999 The \(C^\infty\)-convergence of hexagonal disk packings to the Riemann map. Zbl 0913.30004 He, Zheng-Xu; Schramm, Oded 27 1998 On the crossing number of high degree satellites of hyperbolic knots. Zbl 0904.57003 He, Zheng-Xu 4 1998 On the convergence of circle packings to the Riemann map. Zbl 0868.30010 He, Zheng-Xu; Schramm, Oded 40 1996 Hyperbolic and parabolic packings. Zbl 0830.52010 He, Zheng-Xu; Schramm, O. 44 1995 Koebe uniformization for “almost circle domains”. Zbl 0830.30006 He, Zheng-Xu; Schramm, Oded 9 1995 The inverse Riemann mapping theorem for relative circle domains. Zbl 0860.30005 He, Zheng-Xu; Schramm, Oded 5 1995 Möbius energy of knots and unknots. Zbl 0817.57011 Freedman, Michael H.; He, Zheng-Xu; Wang, Zhenghan 97 1994 Second derivatives of circles packings and conformal mappings. Zbl 0794.30006 Doyle, Peter; He, Zheng-Xu; Rodin, Burt 13 1994 Rigidity of circle domains whose boundary has \(\sigma\)-finite linear measure. Zbl 0809.30006 He, Zheng-Xu; Schramm, Oded 13 1994 The asymptotic value of the circle-packing rigidity constants \(s_ n\). Zbl 0858.30005 Doyle, P.; He, Zheng-Xu; Rodin, B. 2 1994 Coarsely quasi-homogeneous circle packings in the hyperbolic plane. Zbl 0806.52013 He, Zheng-Xu 1 1994 Fixed points, Koebe uniformization and circle packings. Zbl 0777.30002 He, Zheng-Xu; Schramm, Oded 71 1993 Convergence of circle packings of finite valence to Riemann mappings. Zbl 0777.30003 He, Zheng-Xu; Rodin, Burt 12 1993 Möbius invariance of knot energy. Zbl 0776.57003 Bryson, Steve; Freedman, Michael H.; He, Zheng-Xu; Wang, Zhenghan 7 1993 Divergence-free fields: Energy and asymptotic crossing number. Zbl 0746.57011 Freedman, Michael H.; He, Zhengxu 41 1991 An estimate for hexagonal circle packings. Zbl 0743.52005 He, Zheng-Xu 19 1991 Links of tori and the energy of incompressible flows. Zbl 0731.57003 Freedman, Michael H.; He, Zheng-Xu 6 1991 Solving Beltrami equations by circle packing. Zbl 0714.30012 He, Zheng-Xu 7 1990 Optimal control of biharmonic variational inequalities. Zbl 0713.49013 He, Zheng-Xu; Moroşanu, Gheorghe 2 1989 Factoring the logarithmic spiral. Zbl 0622.30011 Freedman, Michael H.; He, Z.-X. 4 1988 State constrained control problems governed by variational inequalities. Zbl 0631.49011 He, Zheng-Xu 20 1987 Characterizations of Noetherian and hereditary rings. Zbl 0571.16010 He, Zheng-Xu 1 1985 On weak i-homotopy equivalences of modules. Zbl 0612.55022 He, Zheng-Xu 1 1984 Some results on homotopy theory of modules. Zbl 0551.55013 He, Zheng-Xu 1 1983 all cited Publications top 5 cited Publications all top 5 Cited by 350 Authors 14 Blatt, Simon 14 Schramm, Oded 12 He, Zheng-Xu 11 Reiter, Philipp 11 von der Mosel, Heiko 9 Lan, Shiyi 9 Liu, Jinsong 8 Dai, Daoqing 8 O’Hara, Jun 6 Forstnerič, Franc 6 Luo, Feng 6 Nagasawa, Takeyuki 6 Rawdon, Eric J. 6 Williams, G. Brock 5 Angel, Omer 5 Benjamini, Itai 5 Bobenko, Alexander Ivanovich 5 Bücking, Ulrike 5 Ishizeki, Aya 5 Komendarczyk, Rafal 5 Simon, Jonathan K. 5 Sosinskiĭ, Alekseĭ Bronislavovich 5 Stephenson, Kenneth 5 Strzelecki, Paweł 4 Bowers, Philip L. 4 Ge, Huabin 4 Huang, Xiaojun 4 Hutchcroft, Tom 4 Karpenkov, Oleg Nikolaevich 4 Nachmias, Asaf 4 Ntalampekos, Dimitrios 4 Rodin, Burton 4 Schikorra, Armin 4 Wegert, Elias 4 Wu, Tianqi 3 Betz, Livia M. 3 Bishop, Christopher James 3 Buck, Gregory R. 3 Cannon, James W. 3 Diao, Yuanan 3 Durumeric, Oguz C. 3 Enciso, Alberto 3 Glickenstein, David 3 Gu, Xianfeng David 3 Oh, Byung-Geun 3 Peralta-Salas, Daniel 3 Ray, Gourab 3 Ricca, Renzo L. 3 Sun, Jian 3 Vorderobermeier, Nicole 3 Wang, Gengsheng 3 Wold, Erlend Fornæss 3 Yau, Shing-Tung 3 Younsi, Malik 3 Zhou, Ze 2 Adams, Colin C. 2 Agol, Ian 2 Alarcón, Antonio 2 Andreev, Valentin V. 2 Arroja Neves, André 2 Avvakumov, Sergey Ya. 2 Brenier, Yann 2 Cantarella, Jason H. 2 Crane, Edward 2 Dehornoy, Pierre 2 Doyle, Peter G. 2 Dubejko, Tomasz 2 Ernst, Claus 2 Floyd, William J. 2 Gu, Xianfeng 2 Gurel-Gurevich, Ori 2 Hass, Joel 2 Hoffmann, Tim 2 Jiang, Wenshuai 2 Kawakami, Shoya 2 Krieg, David 2 Kusner, Rob 2 Lam, Wai Yeung 2 Ligo, Richard G. 2 Marques, Fernando Codá 2 McNicholl, Timothy H. 2 Murugan, Mathav Kishore 2 Parry, Walter R. 2 Pinkall, Ulrich 2 Rohde, Steffen 2 Schumacher, Henrik 2 Serovaĭskiĭ, Simon Ya. 2 Steenebrügge, Daniel 2 Susu, Livia Mihaela 2 Teo, Kok Lay 2 Timár, Ádám 2 Vemuri, Murali Krishna 2 Werner, Wendelin 2 Wood, William E. 2 Yang, Xiaoqi 2 Zhou, Yuying 2 Ziegler, Uta 2 Zorich, Vladimir Antonovich 1 Abedini, Yousefali 1 Addario-Berry, Louigi ...and 250 more Authors all top 5 Cited in 146 Serials 17 Transactions of the American Mathematical Society 15 Journal of Knot Theory and its Ramifications 12 Topology and its Applications 12 Discrete & Computational Geometry 10 Geometriae Dedicata 10 Conformal Geometry and Dynamics 6 Journal d’Analyse Mathématique 6 Advances in Mathematics 6 Inventiones Mathematicae 6 The Journal of Geometric Analysis 6 Calculus of Variations and Partial Differential Equations 6 Geometry & Topology 5 Journal of Mathematical Analysis and Applications 5 The Annals of Probability 5 Mathematische Annalen 5 Mathematische Zeitschrift 5 Proceedings of the American Mathematical Society 5 Experimental Mathematics 5 Russian Journal of Mathematical Physics 5 Computational Methods and Function Theory 5 Complex Variables and Elliptic Equations 4 Communications in Mathematical Physics 4 Israel Journal of Mathematics 4 Journal of Mathematical Physics 4 Acta Mathematica 4 Journal of the American Mathematical Society 3 Archive for Rational Mechanics and Analysis 3 Journal of Geometry and Physics 3 Beiträge zur Algebra und Geometrie 3 Applied Mathematics and Optimization 3 Mathematische Nachrichten 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Geometric and Functional Analysis. GAFA 3 Annales Academiae Scientiarum Fennicae. Mathematica 3 Algebraic & Geometric Topology 2 Applicable Analysis 2 Computers & Mathematics with Applications 2 Geophysical and Astrophysical Fluid Dynamics 2 Duke Mathematical Journal 2 Journal of Differential Geometry 2 Journal of the London Mathematical Society. Second Series 2 Journal of Optimization Theory and Applications 2 Journal für die Reine und Angewandte Mathematik 2 Numerical Functional Analysis and Optimization 2 SIAM Journal on Control and Optimization 2 Tôhoku Mathematical Journal. Second Series 2 Revista Matemática Iberoamericana 2 Bulletin of the American Mathematical Society. New Series 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Annals of Mathematics. Second Series 2 Acta Mathematica Sinica. English Series 2 Communications in Contemporary Mathematics 2 Proceedings of the Steklov Institute of Mathematics 2 Journal of Physics A: Mathematical and Theoretical 2 Journal of Topology and Analysis 2 Mathematical Control and Related Fields 2 Forum of Mathematics, Sigma 2 Annales Fennici Mathematici 1 Analysis Mathematica 1 Classical and Quantum Gravity 1 Computer Methods in Applied Mechanics and Engineering 1 Communications on Pure and Applied Mathematics 1 Discrete Mathematics 1 Inverse Problems 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Computational Physics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Biology 1 Journal of Statistical Physics 1 Mathematical Notes 1 Nonlinearity 1 Nuclear Physics. B 1 Physics Letters. A 1 Physics Letters. B 1 Physics Reports 1 Rocky Mountain Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Annales de l’Institut Fourier 1 Applied Mathematics and Computation 1 Bulletin of the London Mathematical Society 1 Calcolo 1 Czechoslovak Mathematical Journal 1 Functional Analysis and its Applications 1 Publications Mathématiques 1 Journal of Functional Analysis 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Results in Mathematics 1 European Journal of Combinatorics 1 Ergodic Theory and Dynamical Systems 1 Circuits, Systems, and Signal Processing 1 Applied Mathematics and Mechanics. (English Edition) 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of Computational Mathematics 1 Optimization ...and 46 more Serials all top 5 Cited in 48 Fields 108 Manifolds and cell complexes (57-XX) 101 Functions of a complex variable (30-XX) 94 Convex and discrete geometry (52-XX) 79 Differential geometry (53-XX) 47 Calculus of variations and optimal control; optimization (49-XX) 34 Combinatorics (05-XX) 34 Partial differential equations (35-XX) 34 Global analysis, analysis on manifolds (58-XX) 25 Probability theory and stochastic processes (60-XX) 16 Several complex variables and analytic spaces (32-XX) 16 Fluid mechanics (76-XX) 15 Dynamical systems and ergodic theory (37-XX) 15 Numerical analysis (65-XX) 14 Statistical mechanics, structure of matter (82-XX) 11 Computer science (68-XX) 9 Functional analysis (46-XX) 9 Geometry (51-XX) 7 Mechanics of deformable solids (74-XX) 7 Biology and other natural sciences (92-XX) 6 Potential theory (31-XX) 6 Quantum theory (81-XX) 5 General and overarching topics; collections (00-XX) 5 History and biography (01-XX) 5 Measure and integration (28-XX) 5 Ordinary differential equations (34-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Optics, electromagnetic theory (78-XX) 3 Algebraic geometry (14-XX) 3 Information and communication theory, circuits (94-XX) 2 Mathematical logic and foundations (03-XX) 2 Associative rings and algebras (16-XX) 2 Group theory and generalizations (20-XX) 2 Real functions (26-XX) 2 Operator theory (47-XX) 2 Algebraic topology (55-XX) 2 Relativity and gravitational theory (83-XX) 2 Astronomy and astrophysics (85-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) Citations by Year