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Stephenson, Kenneth

Author ID: stephenson.kenneth Recent zbMATH articles by "Stephenson, Kenneth"
Published as: Stephenson, Kenneth; Stephenson, K.
External Links: MGP
Documents Indexed: 52 Publications since 1977, including 2 Books
Co-Authors: 24 Co-Authors with 31 Joint Publications
428 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 486 times in 290 Documents Cited by Year
Introduction to circle packing. The theory of discrete analytic functions. Zbl 1074.52008
Stephenson, Kenneth
109
2005
The uniformization theorem for circle packings. Zbl 0797.30008
Beardon, Alan F.; Stephenson, Kenneth
38
1990
Uniformizing dessins and Belyĭ maps via circle packing. Zbl 1080.52511
Bowers, Philip L.; Stephenson, Kenneth
34
2004
A circle packing algorithm. Zbl 1023.52005
Collins, Charles R.; Stephenson, Kenneth
25
2003
Circle packing: A mathematical tale. Zbl 1047.52016
Stephenson, Kenneth
23
2003
A “regular” pentagonal tiling of the plane. Zbl 0883.05034
Bowers, Philip L.; Stephenson, Kenneth
18
1997
The Schwarz-Pick lemma for circle packings. Zbl 0753.30016
Beardon, Alan F.; Stephenson, Kenneth
18
1991
A probabilistic proof of Thurston’s conjecture on circle packings. Zbl 0997.60504
Stephenson, Kenneth
16
1998
Isometries of the Nevanlinna class. Zbl 0326.30025
Stephenson, Kenneth
16
1977
Circle packings in the approximation of conformal mappings. Zbl 0714.30011
Stephenson, Kenneth
12
1990
A geometric characterization of analytic functions with bounded mean oscillation. Zbl 0445.30028
Stegenga, David A.; Stephenson, Kenneth
12
1981
Circle packing: Experiments in discrete analytic function theory. Zbl 0853.52019
Dubejko, Tomasz; Stephenson, Kenneth
12
1995
A branched Andreev-Thurston theorem for circle packings of the sphere. Zbl 0856.51012
Bowers, Phil; Stephenson, Kenneth
11
1996
Weak subordination and stable classes of meromorphic functions. Zbl 0445.30029
Stephenson, Kenneth
10
1980
Circle packings in surfaces of finite type: An in situ approach with applications to moduli. Zbl 0783.30030
Bowers, Philip L.; Stephenson, Kenneth
10
1993
Analytic functions and hypergroups of function pairs. Zbl 0506.30032
Stephenson, Kenneth
8
1982
Analytic functions sharing level curves and tracts. Zbl 0601.30040
Stephenson, Kenneth
8
1986
The set of circle packing points in the Teichmüller space of a surface of finite conformal type is dense. Zbl 0756.30036
Bowers, Philip L; Stephenson, Kenneth
8
1992
The approximation of conformal structures via circle packing. Zbl 0932.30001
Stephenson, Kenneth
7
1999
Circle packings as differentiable manifolds. Zbl 1258.52011
Bauer, David; Stephenson, Kenneth; Wegert, Elias
7
2012
Construction of an inner function in the little Bloch space. Zbl 0654.30024
Stephenson, Kenneth
6
1988
Geometric sequences of discs in the Apollonian packing. Zbl 0908.52006
Aharonov, D.; Stephenson, K.
6
1997
The branched Schwarz lemma: A classical result via circle packing. Zbl 0865.30034
Dubejko, Tomasz; Stephenson, Kenneth
6
1995
Circle packing and discrete analytic function theory. Zbl 1067.30086
Stephenson, Kenneth
6
2002
Circle packings in different geometries. Zbl 0703.52007
Beardon, A. F.; Stephenson, K.
6
1991
Omitted values of singular inner functions. Zbl 0365.30017
Stephenson, Kenneth
6
1978
Conformal tilings. I: Foundations, theory, and practice. Zbl 1364.52013
Bowers, Philip L.; Stephenson, Kenneth
6
2017
Functions which follow inner functions. Zbl 0414.30027
Stephenson, Kenneth
5
1979
Spiral hexagonal circle packings in the plane. Zbl 0796.52002
Beardon, Alan F.; Dubejko, Tomasz; Stephenson, Kenneth
5
1994
Certain integral equalities which imply equimeasurability of functions. Zbl 0351.28005
Stephenson, Kenneth
4
1977
Sharp geometric estimates of the distance to VMOA. Zbl 0798.30022
Stegenga, David A.; Stephenson, Kenneth
3
1992
Inner divisors and composition operators. Zbl 0485.30037
Marshall, Donald E.; Stephenson, Kenneth
3
1982
A Bloch function in all \(H^p\) classes, but not in BMOA. Zbl 0439.30022
Campbell, Douglas; Cima, Joseph; Stephenson, Kenneth
3
1980
The finite range of an inner function. Zbl 0442.30027
Stephenson, Kenneth
3
1979
Circle packing with generalized branching. Zbl 1365.52026
Ashe, James; Crane, Edward; Stephenson, Kenneth
3
2016
Level curves of inner functions. Zbl 0534.30027
Stephenson, Kenneth; Sundberg, Carl
2
1985
Generic covering properties for spaces of analytic functions. Zbl 0534.30040
Stegenga, David A.; Stephenson, Kenneth
2
1985
Analytic functions of finite valence, with applications to Toeplitz operators. Zbl 0585.30031
Stephenson, Kenneth
2
1985
The structure of open continuous mappings having two valences. Zbl 0741.57001
Lyzzaik, A. K.; Stephenson, Kenneth
2
1991
Conformal tilings. II: Local isomorphism, hierarchy, and conformal type. Zbl 1429.52023
Bowers, Philip L.; Stephenson, Kenneth
2
2019
Level-sets of special Blaschke products. Zbl 0487.30025
Belna, Charles; Cohn, William; Piranian, George; Stephenson, Kenneth
1
1982
Curvature flow in conformal mapping. Zbl 1073.52511
Collins, Charles R.; Driscoll, Tobin A.; Stephenson, Kenneth
1
2003
Circle packings on conformal and affine tori. Zbl 1320.52025
Sass, Christopher T.; Stephenson, Kenneth; Williams, G. Brock
1
2012
Conformal tilings. II: Local isomorphism, hierarchy, and conformal type. Zbl 1429.52023
Bowers, Philip L.; Stephenson, Kenneth
2
2019
Conformal tilings. I: Foundations, theory, and practice. Zbl 1364.52013
Bowers, Philip L.; Stephenson, Kenneth
6
2017
Circle packing with generalized branching. Zbl 1365.52026
Ashe, James; Crane, Edward; Stephenson, Kenneth
3
2016
Circle packings as differentiable manifolds. Zbl 1258.52011
Bauer, David; Stephenson, Kenneth; Wegert, Elias
7
2012
Circle packings on conformal and affine tori. Zbl 1320.52025
Sass, Christopher T.; Stephenson, Kenneth; Williams, G. Brock
1
2012
Introduction to circle packing. The theory of discrete analytic functions. Zbl 1074.52008
Stephenson, Kenneth
109
2005
Uniformizing dessins and Belyĭ maps via circle packing. Zbl 1080.52511
Bowers, Philip L.; Stephenson, Kenneth
34
2004
A circle packing algorithm. Zbl 1023.52005
Collins, Charles R.; Stephenson, Kenneth
25
2003
Circle packing: A mathematical tale. Zbl 1047.52016
Stephenson, Kenneth
23
2003
Curvature flow in conformal mapping. Zbl 1073.52511
Collins, Charles R.; Driscoll, Tobin A.; Stephenson, Kenneth
1
2003
Circle packing and discrete analytic function theory. Zbl 1067.30086
Stephenson, Kenneth
6
2002
The approximation of conformal structures via circle packing. Zbl 0932.30001
Stephenson, Kenneth
7
1999
A probabilistic proof of Thurston’s conjecture on circle packings. Zbl 0997.60504
Stephenson, Kenneth
16
1998
A “regular” pentagonal tiling of the plane. Zbl 0883.05034
Bowers, Philip L.; Stephenson, Kenneth
18
1997
Geometric sequences of discs in the Apollonian packing. Zbl 0908.52006
Aharonov, D.; Stephenson, K.
6
1997
A branched Andreev-Thurston theorem for circle packings of the sphere. Zbl 0856.51012
Bowers, Phil; Stephenson, Kenneth
11
1996
Circle packing: Experiments in discrete analytic function theory. Zbl 0853.52019
Dubejko, Tomasz; Stephenson, Kenneth
12
1995
The branched Schwarz lemma: A classical result via circle packing. Zbl 0865.30034
Dubejko, Tomasz; Stephenson, Kenneth
6
1995
Spiral hexagonal circle packings in the plane. Zbl 0796.52002
Beardon, Alan F.; Dubejko, Tomasz; Stephenson, Kenneth
5
1994
Circle packings in surfaces of finite type: An in situ approach with applications to moduli. Zbl 0783.30030
Bowers, Philip L.; Stephenson, Kenneth
10
1993
The set of circle packing points in the Teichmüller space of a surface of finite conformal type is dense. Zbl 0756.30036
Bowers, Philip L; Stephenson, Kenneth
8
1992
Sharp geometric estimates of the distance to VMOA. Zbl 0798.30022
Stegenga, David A.; Stephenson, Kenneth
3
1992
The Schwarz-Pick lemma for circle packings. Zbl 0753.30016
Beardon, Alan F.; Stephenson, Kenneth
18
1991
Circle packings in different geometries. Zbl 0703.52007
Beardon, A. F.; Stephenson, K.
6
1991
The structure of open continuous mappings having two valences. Zbl 0741.57001
Lyzzaik, A. K.; Stephenson, Kenneth
2
1991
The uniformization theorem for circle packings. Zbl 0797.30008
Beardon, Alan F.; Stephenson, Kenneth
38
1990
Circle packings in the approximation of conformal mappings. Zbl 0714.30011
Stephenson, Kenneth
12
1990
Construction of an inner function in the little Bloch space. Zbl 0654.30024
Stephenson, Kenneth
6
1988
Analytic functions sharing level curves and tracts. Zbl 0601.30040
Stephenson, Kenneth
8
1986
Level curves of inner functions. Zbl 0534.30027
Stephenson, Kenneth; Sundberg, Carl
2
1985
Generic covering properties for spaces of analytic functions. Zbl 0534.30040
Stegenga, David A.; Stephenson, Kenneth
2
1985
Analytic functions of finite valence, with applications to Toeplitz operators. Zbl 0585.30031
Stephenson, Kenneth
2
1985
Analytic functions and hypergroups of function pairs. Zbl 0506.30032
Stephenson, Kenneth
8
1982
Inner divisors and composition operators. Zbl 0485.30037
Marshall, Donald E.; Stephenson, Kenneth
3
1982
Level-sets of special Blaschke products. Zbl 0487.30025
Belna, Charles; Cohn, William; Piranian, George; Stephenson, Kenneth
1
1982
A geometric characterization of analytic functions with bounded mean oscillation. Zbl 0445.30028
Stegenga, David A.; Stephenson, Kenneth
12
1981
Weak subordination and stable classes of meromorphic functions. Zbl 0445.30029
Stephenson, Kenneth
10
1980
A Bloch function in all \(H^p\) classes, but not in BMOA. Zbl 0439.30022
Campbell, Douglas; Cima, Joseph; Stephenson, Kenneth
3
1980
Functions which follow inner functions. Zbl 0414.30027
Stephenson, Kenneth
5
1979
The finite range of an inner function. Zbl 0442.30027
Stephenson, Kenneth
3
1979
Omitted values of singular inner functions. Zbl 0365.30017
Stephenson, Kenneth
6
1978
Isometries of the Nevanlinna class. Zbl 0326.30025
Stephenson, Kenneth
16
1977
Certain integral equalities which imply equimeasurability of functions. Zbl 0351.28005
Stephenson, Kenneth
4
1977
all top 5

Cited by 368 Authors

18 Stephenson, Kenneth
10 Bobenko, Alexander Ivanovich
9 Bowers, Philip L.
9 Ge, Huabin
9 Wegert, Elias
8 Luo, Feng
7 Bücking, Ulrike
7 Dai, Daoqing
7 Lan, Shiyi
7 Schramm, Oded
6 Laitila, Jussi
6 Williams, G. Brock
6 Xu, Xu
5 Cannon, James W.
5 Gwynne, Ewain
5 He, Zheng-Xu
5 Hutchcroft, Tom
5 Iida, Yasuo
5 Nachmias, Asaf
5 Yau, Shing-Tung
4 Bishop, Christopher James
4 Dubejko, Tomasz
4 Floyd, William J.
4 Gu, Xianfeng David
4 Krieg, David
4 Liu, Jinsong
4 Parry, Walter R.
4 Springborn, Boris Andre
4 Ueki, Sei-ichiro
3 Angel, Omer
3 Bazhanov, Vladimir V.
3 Collins, Charles R.
3 Eppstein, David Arthur
3 Gortler, Steven J.
3 Graham, Ronald Lewis
3 Guo, Kunyu
3 Gurel-Gurevich, Ori
3 Ivrii, Oleg V.
3 Jiang, Wenshuai
3 Kraus, Daniela
3 Lam, Wai Yeung
3 Mallows, Colin Lingwood
3 Miller, Jason P.
3 Mortini, Raymond
3 Pinkall, Ulrich
3 Roth, Oliver
3 Sergeev, Sergeĭ Mikhaĭlovich
3 Stević, Stevo
3 Yueh, Mei-Heng
3 Zhang, Yong
3 Zheng, Dechao
3 Zhou, Ze
2 Bauer, David F.
2 Benjamini, Itai
2 Bishnu, Arijit
2 Bowers, John C.
2 Butler, Steven Kay
2 Chen, Chun
2 Cima, Joseph A.
2 Connelly, Robert
2 Crane, Edward
2 Dan, Hui
2 Desai, Sameer
2 Dostert, Maria
2 Ghosh, Arijit
2 Glickenstein, David
2 Gorkin, Pamela B.
2 Goswami, Mayank
2 Gu, Xianfeng
2 Guettler, Gerhard
2 Guo, Ren
2 Hatori, Osamu
2 Hoffmann, Tim
2 Hua, Bobo
2 Huang, Hansong
2 Kajiwara, Kenji
2 Kasuga, Kazuhiro
2 Kenyon, Richard W.
2 Koldobsky, Alexander L.
2 Lagarias, Jeffrey C.
2 Lau, Francis Chi Moon
2 Lin, Wen-Wei
2 Lyzzaik, Abdallah
2 Mangazeev, Vladimir V.
2 Masuda, Tetsu
2 Matheson, Alec L.
2 Nestoridis, Vassili
2 Nieminen, Pekka J.
2 Paul, Subhabrata
2 Peláez, José Ángel
2 Poon, Sheung-Hung
2 Purcell, Jessica Shepherd
2 Ray, Gourab
2 Rodin, Burton
2 Saksman, Eero
2 Sechelmann, Stefan
2 Sheffield, Scott
2 Sun, Shunhua
2 Wu, Tianqi
2 Xu, Anjian
...and 268 more Authors
all top 5

Cited in 119 Serials

18 Transactions of the American Mathematical Society
17 Discrete & Computational Geometry
12 Proceedings of the American Mathematical Society
10 Conformal Geometry and Dynamics
10 Computational Methods and Function Theory
8 Journal of Functional Analysis
8 Complex Variables and Elliptic Equations
7 Journal d’Analyse Mathématique
6 Beiträge zur Algebra und Geometrie
6 Advances in Mathematics
6 Geometriae Dedicata
6 Calculus of Variations and Partial Differential Equations
5 Journal of Mathematical Analysis and Applications
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 The Annals of Probability
4 Inventiones Mathematicae
4 Computational Geometry
4 Bulletin of the American Mathematical Society. New Series
4 Geometry & Topology
4 SIAM Journal on Imaging Sciences
3 Israel Journal of Mathematics
3 Experimental Mathematics
3 Complex Analysis and Operator Theory
2 Discrete Applied Mathematics
2 Nuclear Physics. B
2 Rocky Mountain Journal of Mathematics
2 Arkiv för Matematik
2 Acta Mathematica
2 Duke Mathematical Journal
2 Integral Equations and Operator Theory
2 Journal für die Reine und Angewandte Mathematik
2 Journal of Soviet Mathematics
2 Mathematische Annalen
2 Mathematische Zeitschrift
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Results in Mathematics
2 European Journal of Combinatorics
2 Computer Aided Geometric Design
2 Journal of the American Mathematical Society
2 Journal of Scientific Computing
2 Geometric and Functional Analysis. GAFA
2 Expositiones Mathematicae
2 Annales Academiae Scientiarum Fennicae. Mathematica
2 Central European Journal of Mathematics
2 Analysis and Mathematical Physics
2 Forum of Mathematics, Sigma
1 American Mathematical Monthly
1 Applicable Analysis
1 Bulletin of the Australian Mathematical Society
1 Communications in Mathematical Physics
1 Computer Methods in Applied Mechanics and Engineering
1 Discrete Mathematics
1 Information Processing Letters
1 Journal of Mathematical Biology
1 Journal of Mathematical Physics
1 Mathematical Notes
1 Studia Mathematica
1 American Journal of Mathematics
1 Annales de l’Institut Fourier
1 Applied Mathematics and Computation
1 Archiv der Mathematik
1 Bulletin de la Société Mathématique de France
1 Canadian Mathematical Bulletin
1 Commentarii Mathematici Helvetici
1 Journal of Differential Geometry
1 Journal of Geometry
1 Journal of the London Mathematical Society. Second Series
1 Journal of Number Theory
1 Mathematische Nachrichten
1 Pacific Journal of Mathematics
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 Siberian Mathematical Journal
1 Topology and its Applications
1 Journal of Computational Mathematics
1 ACM Transactions on Graphics
1 Probability Theory and Related Fields
1 SIAM Journal on Discrete Mathematics
1 The Journal of Geometric Analysis
1 Numerical Algorithms
1 European Journal of Operational Research
1 International Journal of Computer Mathematics
1 Russian Mathematics
1 The Journal of Analysis
1 Journal of Mathematical Sciences (New York)
1 International Journal of Computer Vision
1 The Electronic Journal of Combinatorics
1 Electronic Journal of Probability
1 International Transactions in Operational Research
1 International Journal of Shape Modeling
1 The Ramanujan Journal
1 Abstract and Applied Analysis
1 Optimization Methods & Software
1 Mathematical Physics, Analysis and Geometry
1 Discrete Dynamics in Nature and Society
1 Annals of Mathematics. Second Series
1 Nexus Network Journal
1 Algebraic & Geometric Topology
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of Applied Mathematics and Computing
...and 19 more Serials
all top 5

Cited in 43 Fields

132 Convex and discrete geometry (52-XX)
131 Functions of a complex variable (30-XX)
33 Combinatorics (05-XX)
30 Differential geometry (53-XX)
24 Functional analysis (46-XX)
24 Manifolds and cell complexes (57-XX)
22 Computer science (68-XX)
20 Numerical analysis (65-XX)
19 Operator theory (47-XX)
19 Geometry (51-XX)
17 Probability theory and stochastic processes (60-XX)
15 Several complex variables and analytic spaces (32-XX)
13 Dynamical systems and ergodic theory (37-XX)
9 Number theory (11-XX)
9 Global analysis, analysis on manifolds (58-XX)
8 Group theory and generalizations (20-XX)
8 Operations research, mathematical programming (90-XX)
6 General and overarching topics; collections (00-XX)
6 Potential theory (31-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 Quantum theory (81-XX)
3 History and biography (01-XX)
3 Algebraic geometry (14-XX)
3 Ordinary differential equations (34-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Mechanics of deformable solids (74-XX)
2 Measure and integration (28-XX)
2 Difference and functional equations (39-XX)
2 Biology and other natural sciences (92-XX)
1 Mathematical logic and foundations (03-XX)
1 Associative rings and algebras (16-XX)
1 Topological groups, Lie groups (22-XX)
1 Real functions (26-XX)
1 Special functions (33-XX)
1 Partial differential equations (35-XX)
1 Approximations and expansions (41-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral equations (45-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)
1 Statistics (62-XX)
1 Mechanics of particles and systems (70-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year