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## Abikoff, William

Compute Distance To:
 Author ID: abikoff.william Published as: Abikoff, W.; Abikoff, William External Links: MGP · Wikidata · GND
 Documents Indexed: 35 Publications since 1971, including 4 Books Reviewing Activity: 17 Reviews
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#### Co-Authors

 25 single-authored 2 Haas, Andrew 1 Appel, Kenneth I. 1 Birman, Joan S. 1 Corillon, Carol 1 Earle, Clifford J. 1 Gilman, Jane P. 1 Harvey, William James 1 Milnor Weinstein, Tilla 1 Kra, Irwin 1 Kuiken, Kathryn 1 Maskit, Bernard 1 Mitra, Sudeb 1 Schupp, Paul E. 1 Sibner, Robert J. 1 Synge Morawetz, Cathleen 1 Ye, Taiping
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#### Serials

 2 Journal d’Analyse Mathématique 2 Acta Mathematica 2 American Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 Contemporary Mathematics 1 American Mathematical Monthly 1 The Mathematical Intelligencer 1 Bulletin of the London Mathematical Society 1 Illinois Journal of Mathematics 1 Mathematica Scandinavica 1 Notices of the American Mathematical Society 1 Annals of Mathematics. Second Series 1 Bulletin of the American Mathematical Society 1 Lecture Notes in Mathematics
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#### Fields

 32 Functions of a complex variable (30-XX) 9 Group theory and generalizations (20-XX) 8 Several complex variables and analytic spaces (32-XX) 3 History and biography (01-XX) 3 Number theory (11-XX) 3 Algebraic geometry (14-XX) 3 Geometry (51-XX) 2 General and overarching topics; collections (00-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Manifolds and cell complexes (57-XX) 1 Potential theory (31-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH

26 Publications have been cited 305 times in 261 Documents Cited by Year
The real analytic theory of Teichmüller space. Zbl 0452.32015
Abikoff, William
1980
Degenerating families of Riemann surfaces. Zbl 0347.32010
Abikoff, William
1977
On boundaries of Teichmüller spaces and on Kleinian groups. III. Zbl 0322.30017
Abikoff, William
1975
Geometric decompositions of Kleinian groups. Zbl 0374.30018
Abikoff, William; Maskit, Bernard
1977
Nondiscrete groups of hyperbolic motions. Zbl 0709.20026
Abikoff, William; Haas, Andrew
1990
Augmented Teichmüller spaces. Zbl 0333.32021
Abikoff, William
1976
The uniformization theorem. Zbl 0482.30034
Abikoff, William
1981
The residual limit sets of Kleinian groups. Zbl 0258.30016
Abikoff, William
1973
Barycentric extensions of monotone maps of the circle. Zbl 1071.30003
Abikoff, William; Earle, Clifford J.; Mitra, Sudeb
2004
Conformal barycenters and the Douady-Earle extension – a discrete dynamical approach. Zbl 1161.37332
Abikoff, William
2002
Computing the Douady-Earle extension. Zbl 1126.30317
Abikoff, William; Ye, Taiping
1997
The Euler characteristic and inequalities for Kleinian groups. Zbl 0606.30045
Abikoff, William
1986
Oswald Teichmüller. Zbl 0603.01016
Abikoff, William
1986
Two theorems on totally degenerate Kleinian groups. Zbl 0334.32023
Abikoff, William
1976
Kleinian groups - geometrically finite and geometrically perverse. Zbl 0662.30043
Abikoff, William
1988
Some remarks on Kleinian groups. Zbl 0216.09901
Abikoff, William
1971
Lifting surface groups to SL(2,$${\mathbb{C}})$$. Zbl 0531.30037
Abikoff, W.; Appel, K.; Schupp, P.
1983
A geometric property of Bers’ embedding of the Teichmüller space. Zbl 0458.30031
Abikoff, William
1981
Constructability and Bers stability of Kleinian groups. Zbl 0298.30022
Abikoff, William
1974
Bers – From graduate student to quasiconformal mapper. Zbl 1358.01037
Abikoff, William; Sibner, Robert J.
2015
Some remarks on singly degenerate Kleinian groups. Zbl 1255.30042
Abikoff, William
2012
Remembering Lipman Bers. Zbl 1042.01527
Morawetz, Cathleen S.; Abikoff, William; Corillon, Carol; Kra, Irwin; Weinstein, Tilla; Gilman, Jane
1995
The mathematical legacy of Wilhelm Magnus. Groups, geometry and special functions. Conference on the legacy of Wilhelm Magnus, May 1-3, 1992, Polytechnic Univ. Brooklyn, NY, USA. Zbl 0801.00023
Abikoff, William (ed.); Birman, Joan S. (ed.); Kuiken, Kathryn (ed.)
1994
The real analytic theory of Teichmüller space. (Veshchestvenno- analiticheskaya teoriya prostranstva Tejkhmyullera). Transl. from the English. Zbl 0671.32001
Abikoff, William
1985
The bounded model for hyperbolic 3-space and a quaternionic uniformization theorem. Zbl 0555.30031
Abikoff, William
1984
Moduli of Riemann surfaces. Zbl 0293.32018
Abikoff, William
1974
Bers – From graduate student to quasiconformal mapper. Zbl 1358.01037
Abikoff, William; Sibner, Robert J.
2015
Some remarks on singly degenerate Kleinian groups. Zbl 1255.30042
Abikoff, William
2012
Barycentric extensions of monotone maps of the circle. Zbl 1071.30003
Abikoff, William; Earle, Clifford J.; Mitra, Sudeb
2004
Conformal barycenters and the Douady-Earle extension – a discrete dynamical approach. Zbl 1161.37332
Abikoff, William
2002
Computing the Douady-Earle extension. Zbl 1126.30317
Abikoff, William; Ye, Taiping
1997
Remembering Lipman Bers. Zbl 1042.01527
Morawetz, Cathleen S.; Abikoff, William; Corillon, Carol; Kra, Irwin; Weinstein, Tilla; Gilman, Jane
1995
The mathematical legacy of Wilhelm Magnus. Groups, geometry and special functions. Conference on the legacy of Wilhelm Magnus, May 1-3, 1992, Polytechnic Univ. Brooklyn, NY, USA. Zbl 0801.00023
Abikoff, William (ed.); Birman, Joan S. (ed.); Kuiken, Kathryn (ed.)
1994
Nondiscrete groups of hyperbolic motions. Zbl 0709.20026
Abikoff, William; Haas, Andrew
1990
Kleinian groups - geometrically finite and geometrically perverse. Zbl 0662.30043
Abikoff, William
1988
The Euler characteristic and inequalities for Kleinian groups. Zbl 0606.30045
Abikoff, William
1986
Oswald Teichmüller. Zbl 0603.01016
Abikoff, William
1986
The real analytic theory of Teichmüller space. (Veshchestvenno- analiticheskaya teoriya prostranstva Tejkhmyullera). Transl. from the English. Zbl 0671.32001
Abikoff, William
1985
The bounded model for hyperbolic 3-space and a quaternionic uniformization theorem. Zbl 0555.30031
Abikoff, William
1984
Lifting surface groups to SL(2,$${\mathbb{C}})$$. Zbl 0531.30037
Abikoff, W.; Appel, K.; Schupp, P.
1983
The uniformization theorem. Zbl 0482.30034
Abikoff, William
1981
A geometric property of Bers’ embedding of the Teichmüller space. Zbl 0458.30031
Abikoff, William
1981
The real analytic theory of Teichmüller space. Zbl 0452.32015
Abikoff, William
1980
Degenerating families of Riemann surfaces. Zbl 0347.32010
Abikoff, William
1977
Geometric decompositions of Kleinian groups. Zbl 0374.30018
Abikoff, William; Maskit, Bernard
1977
Augmented Teichmüller spaces. Zbl 0333.32021
Abikoff, William
1976
Two theorems on totally degenerate Kleinian groups. Zbl 0334.32023
Abikoff, William
1976
On boundaries of Teichmüller spaces and on Kleinian groups. III. Zbl 0322.30017
Abikoff, William
1975
Constructability and Bers stability of Kleinian groups. Zbl 0298.30022
Abikoff, William
1974
Moduli of Riemann surfaces. Zbl 0293.32018
Abikoff, William
1974
The residual limit sets of Kleinian groups. Zbl 0258.30016
Abikoff, William
1973
Some remarks on Kleinian groups. Zbl 0216.09901
Abikoff, William
1971
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#### Cited by 249 Authors

 7 Liu, Lixin 7 Ohshika, Ken’ichi 7 Papadopoulos, Athanase 5 Abikoff, William 5 Brock, Jeffrey F. 5 Kra, Irwin 5 Minsky, Yair N. 5 Su, Weixu 4 Hu, Jun 4 Korotkin, Dmitrii A. 4 Lundelius, Rolf E. 4 Maskit, Bernard 4 Masur, Howard A. 4 Penner, Robert C. 4 Wolpert, Scott A. 4 Yamamoto, Hiro-o 3 Bainbridge, Matt 3 Basmajian, Ara S. 3 Bauer, Max 3 Canary, Richard D. 3 Díaz, Raquel Gómez 3 Fang, Ainong 3 Goldman, William M. 3 Jiang, Yueping 3 Jimenez-Lopez, Francisco G. 3 Jorgenson, Jay Alan 3 Kholodenko, Arkady L. 3 Krushkal, Samuel L. 3 Matsuzaki, Katsuhiko 3 Miyachi, Hideki 3 Muzician, Oleg 3 Parlier, Hugo 3 Seppälä, Mika 3 Wang, Xiantao 2 Alessandrini, Daniele 2 Amano, Masanori 2 Arredondo, John Alexander 2 Benedetti, Riccardo 2 Bertola, Marco 2 Bishop, Christopher James 2 Boggi, Marco 2 Cao, Wensheng 2 Dai, Binlin 2 Evans, Richard Allen 2 Gardiner, Frederick P. 2 Gongopadhyay, Krishnendu 2 González-Aguilera, Víctor 2 Haas, Andrew 2 Haïssinsky, Peter 2 Hidalgo, Rubén Antonio 2 Hu, Guangming 2 Ji, Lizhen 2 Jones, Peter Wilcox 2 Li, Liulan 2 Liu, Jinsong 2 Lyubich, Mikhail Yur’evich 2 Magid, Aaron D. 2 Maluendas, Camilo Ramírez 2 Mj, Mahan 2 Mochizuki, Shinichi 2 Möller, Martin 2 Mondello, Gabriele 2 Moosavian, Seyed Faroogh 2 Parkkonen, Jouni 2 Paulin, Frédéric 2 Pius, Roji 2 Qi, Yi 2 Sasaki, Takehiko 2 Sato, Hiroki 2 Sienra, Guillermo J. F. 2 Sun, Zongliang 2 Taylor, Edward C. 2 Thurston, William Paul 2 Tukia, Pekka 2 Vasilev, Alexander 2 Yamada, Sumio 2 Yang, Shihai 2 Zhuravlëv, I. V. 1 Anderson, James W. 1 Andrésson, Håkan 1 Apanasov, Boris Nikolaevich 1 Arés Gastesi, Pablo 1 Baranov, Aleksandr Mikhaĭlovich 1 Barceló, Carlos 1 Baseilhac, Stéphane 1 Beardon, Alan Frank 1 Bers, Lipman 1 Blanchard, Paul R. 1 Bödigheimer, Carl-Friedrich 1 Booss-Bavnbek, Bernhelm 1 Boshernitzan, Michael D. 1 Bromberg, Kenneth W. 1 Cabrera, Carlos 1 Cannon, James W. 1 Carlip, Steven 1 Carroll, C. R. 1 Cavendish, William 1 Chang, Kung-Ching 1 Charette, Virginie 1 Chen, Dawei ...and 149 more Authors
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#### Cited in 89 Serials

 15 Duke Mathematical Journal 12 Geometriae Dedicata 12 Proceedings of the American Mathematical Society 12 Transactions of the American Mathematical Society 11 Geometry & Topology 10 Inventiones Mathematicae 9 Communications in Mathematical Physics 8 Journal d’Analyse Mathématique 8 Acta Mathematica 8 Tohoku Mathematical Journal. Second Series 8 Bulletin of the American Mathematical Society. New Series 6 Siberian Mathematical Journal 5 Annales Academiae Scientiarum Fennicae. Mathematica 5 Conformal Geometry and Dynamics 5 Acta Mathematica Sinica. English Series 4 Israel Journal of Mathematics 4 Journal of Geometry and Physics 4 Manuscripta Mathematica 4 Mathematische Annalen 4 Mathematische Zeitschrift 4 Proceedings of the Japan Academy. Series A 3 Compositio Mathematica 3 Glasgow Mathematical Journal 3 Kodai Mathematical Journal 3 Geometric and Functional Analysis. GAFA 3 Living Reviews in Relativity 2 Bulletin of the Australian Mathematical Society 2 Mathematical Notes 2 Nuclear Physics. B 2 The Mathematical Intelligencer 2 Annales de l’Institut Fourier 2 Functional Analysis and its Applications 2 Monatshefte für Mathematik 2 Osaka Journal of Mathematics 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Ergodic Theory and Dynamical Systems 2 Chinese Annals of Mathematics. Series B 2 The Journal of Geometric Analysis 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Journal of Difference Equations and Applications 2 Annals of Mathematics. Second Series 2 Journal of the European Mathematical Society (JEMS) 2 Journal of High Energy Physics 2 Algebraic & Geometric Topology 2 Analysis and Mathematical Physics 1 Archive for History of Exact Sciences 1 Discrete Mathematics 1 General Relativity and Gravitation 1 Journal of Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Russian Mathematical Surveys 1 Arkiv för Matematik 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Advances in Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Commentationes Mathematicae Universitatis Carolinae 1 Czechoslovak Mathematical Journal 1 Publications Mathématiques 1 Journal of Functional Analysis 1 Journal of the Mathematical Society of Japan 1 Mathematische Nachrichten 1 Nagoya Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Quaestiones Mathematicae 1 Results in Mathematics 1 Topology and its Applications 1 Physica D 1 Journal of the American Mathematical Society 1 Science in China. Series A 1 International Journal of Mathematics 1 Differential Geometry and its Applications 1 MSCS. Mathematical Structures in Computer Science 1 Linear Algebra and its Applications 1 Acta Mathematica Sinica. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 SIAM Journal on Scientific Computing 1 Journal of Mathematical Sciences (New York) 1 Selecta Mathematica. New Series 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Abstract and Applied Analysis 1 Communications of the Korean Mathematical Society 1 Advances in Geometry 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Computational Methods and Function Theory 1 Bulletin of the American Mathematical Society 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Complex Manifolds
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#### Cited in 30 Fields

 172 Functions of a complex variable (30-XX) 97 Several complex variables and analytic spaces (32-XX) 58 Manifolds and cell complexes (57-XX) 44 Group theory and generalizations (20-XX) 36 Differential geometry (53-XX) 24 Algebraic geometry (14-XX) 24 Dynamical systems and ergodic theory (37-XX) 22 Global analysis, analysis on manifolds (58-XX) 13 Number theory (11-XX) 13 Quantum theory (81-XX) 9 Relativity and gravitational theory (83-XX) 8 Topological groups, Lie groups (22-XX) 6 History and biography (01-XX) 4 Potential theory (31-XX) 4 Geometry (51-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Algebraic topology (55-XX) 2 General and overarching topics; collections (00-XX) 2 Measure and integration (28-XX) 2 Partial differential equations (35-XX) 2 Convex and discrete geometry (52-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX)

#### Wikidata Timeline

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