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Author ID: dragnev.peter-d Recent zbMATH articles by "Dragnev, Peter D."
Published as: Dragnev, P. D.; Dragnev, Peter; Dragnev, Peter D.; Dragnev, P.
Documents Indexed: 41 Publications since 1996
Co-Authors: 21 Co-Authors with 39 Joint Publications
445 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

33 Publications have been cited 280 times in 174 Documents Cited by Year
Constrained energy problems with applications to orthogonal polynomials of a discrete variable. Zbl 0898.31003
Dragnev, P. D.; Saff, E. B.
51
1997
Riesz spherical potentials with external fields and minimal energy points separation. Zbl 1115.31003
Dragnev, P. D.; Saff, E. B.
25
2007
Equilibrium problems associated with fast decreasing polynomials. Zbl 1050.31002
Kuijlaars, A. B. J.; Dragnev, P. D.
23
1999
Discrete logarithmic energy on the sphere. Zbl 1051.52007
Dragnev, P. D.; Legg, D. A.; Townsend, D. W.
18
2002
A problem in potential theory and zero asymptotics of Krawtchouk polynomials. Zbl 0951.33008
Dragnev, P. D.; Saff, E. B.
17
2000
Riesz extremal measures on the sphere for axis-supported external fields. Zbl 1175.31004
Brauchart, J. S.; Dragnev, P. D.; Saff, E. B.
15
2009
Universal lower bounds for potential energy of spherical codes. Zbl 1404.94154
Boyvalenkov, P. G.; Dragnev, P. D.; Hardin, D. P.; Saff, E. B.; Stoyanova, M. M.
14
2016
On the separation of logarithmic points on the sphere. Zbl 1228.41011
Dragnev, P. D.
14
2002
Riesz external field problems on the hypersphere and optimal point separation. Zbl 1307.31010
Brauchart, Johann S.; Dragnev, Peter D.; Saff, Edward B.
13
2014
Universal upper and lower bounds on energy of spherical designs. Zbl 1370.31003
Boyvalenkov, P. G.; Dragnev, P. D.; Hardin, D. P.; Saff, E. B.; Stoyanova, M. M.
9
2015
On the support of the equilibrium measure for arcs of the unit circle and for real intervals. Zbl 1131.31301
Benko, D.; Damelin, S. B.; Dragnev, P. D.
8
2006
Constrained Leja points and the numerical solution of the constrained energy problem. Zbl 0982.65077
Coroian, Dan I.; Dragnev, Peter
7
2001
Convexity of harmonic densities. Zbl 1253.31004
Benko, David; Dragnev, Peter; Totik, Vilmos
7
2012
Minimum Riesz energy problems for a condenser with touching plates. Zbl 1338.31008
Dragnev, P. D.; Fuglede, B.; Hardin, Doug P.; Saff, Edward B.; Zorii, Natalia
6
2016
On a series representation for Carleman orthogonal polynomials. Zbl 1213.30072
Dragnev, Peter; Miña-Díaz, Erwin
6
2010
Asymptotic behavior and zero distribution of Carleman orthogonal polynomials. Zbl 1210.33014
Dragnev, Peter; Miña-Díaz, Erwin
6
2010
A fascinating polynomial sequence arising from an electrostatics problem on the sphere. Zbl 1299.30007
Brauchart, J. S.; Dragnev, P. D.; Saff, E. B.; van de Woestijne, C. E.
6
2012
Condensers with touching plates and constrained minimum Riesz and Green energy problems. Zbl 1435.31009
Dragnev, P. D.; Fuglede, B.; Hardin, D. P.; Saff, E. B.; Zorii, N.
5
2019
The support of the equilibrium measure for a class of external fields on a finite interval. Zbl 1062.31002
Damelin, S. B.; Dragnev, P. D.; Kuijlaars, A. B. J.
4
2001
On spherical codes with inner products in a prescribed interval. Zbl 1448.94301
Boyvalenkov, P. G.; Dragnev, P. D.; Hardin, D. P.; Saff, E. B.; Stoyanova, M. M.
4
2019
Balayage ping-pong: a convexity of equilibrium measures. Zbl 1250.31003
Benko, David; Dragnev, Peter D.
3
2012
Constrained minimum Riesz energy problems for a condenser with intersecting plates. Zbl 1439.31006
Dragnev, Peter D.; Fuglede, Bent; Hardin, Doug P.; Saff, Edward B.; Zorii, Natalia
3
2020
Asymptotics of Carleman polynomials for level curves of the inverse of a shifted Zhukovsky transformation. Zbl 1275.42040
Dragnev, Peter; Miña-Díaz, Erwin; Northington, Michael V
3
2013
Energy bounds for codes and designs in Hamming spaces. Zbl 1381.94137
Boyvalenkov, P. G.; Dragnev, P. D.; Hardin, D. P.; Saff, E. B.; Stoyanova, M. M.
3
2017
On supports of equilibrium measures with concave signed equilibria. Zbl 1255.31001
Benko, D.; Damelin, S. B.; Dragnev, P. D.
2
2012
An electrostatics problem on the sphere arising from a nearby point charge. Zbl 1422.31004
Brauchart, Johann S.; Dragnev, Peter D.; Saff, Edward B.
1
2014
Open problems in approximation theory, Tampa ’96. Zbl 0870.41001
Dragnev, P. D.; Saff, E. B.
1
1996
Logarithmic and Riesz equilibrium for multiple sources on the sphere: the exceptional case. Zbl 1405.31007
Brauchart, Johann S.; Dragnev, Peter D.; Saff, Edward B.; Womersley, Robert S.
1
2018
Probability, minimax approximation, and Nash-equilibrium. Estimating the parameter of a biased coin. Zbl 1415.65024
Benko, David; Coroian, Dan; Dragnev, Peter; Orive, Ramón
1
2018
Universal lower bounds on energy and LP-extremal polynomials for \((4, 24)\)-codes. Zbl 1439.94105
Boyvalenkov, Peter; Dragnev, Peter; Hardin, Douglas; Saff, Edward; Stoyanova, Maya
1
2017
Polynomial approximation of the checkmark function. Zbl 1065.41012
Dragnev, P. D.; Legg, D. A.; Townsend, D. W.
1
2004
Energy bounds for codes in polynomial metric spaces. Zbl 1454.94139
Boyvalenkov, P. G.; Dragnev, P. D.; Hardin, D. P.; Saff, E. B.; Stoyanova, M. M.
1
2019
Logarithmic equilibrium on the sphere in the presence of multiple point charges. Zbl 1477.31022
Legg, A. R.; Dragnev, P. D.
1
2021
Logarithmic equilibrium on the sphere in the presence of multiple point charges. Zbl 1477.31022
Legg, A. R.; Dragnev, P. D.
1
2021
Constrained minimum Riesz energy problems for a condenser with intersecting plates. Zbl 1439.31006
Dragnev, Peter D.; Fuglede, Bent; Hardin, Doug P.; Saff, Edward B.; Zorii, Natalia
3
2020
Condensers with touching plates and constrained minimum Riesz and Green energy problems. Zbl 1435.31009
Dragnev, P. D.; Fuglede, B.; Hardin, D. P.; Saff, E. B.; Zorii, N.
5
2019
On spherical codes with inner products in a prescribed interval. Zbl 1448.94301
Boyvalenkov, P. G.; Dragnev, P. D.; Hardin, D. P.; Saff, E. B.; Stoyanova, M. M.
4
2019
Energy bounds for codes in polynomial metric spaces. Zbl 1454.94139
Boyvalenkov, P. G.; Dragnev, P. D.; Hardin, D. P.; Saff, E. B.; Stoyanova, M. M.
1
2019
Logarithmic and Riesz equilibrium for multiple sources on the sphere: the exceptional case. Zbl 1405.31007
Brauchart, Johann S.; Dragnev, Peter D.; Saff, Edward B.; Womersley, Robert S.
1
2018
Probability, minimax approximation, and Nash-equilibrium. Estimating the parameter of a biased coin. Zbl 1415.65024
Benko, David; Coroian, Dan; Dragnev, Peter; Orive, Ramón
1
2018
Energy bounds for codes and designs in Hamming spaces. Zbl 1381.94137
Boyvalenkov, P. G.; Dragnev, P. D.; Hardin, D. P.; Saff, E. B.; Stoyanova, M. M.
3
2017
Universal lower bounds on energy and LP-extremal polynomials for \((4, 24)\)-codes. Zbl 1439.94105
Boyvalenkov, Peter; Dragnev, Peter; Hardin, Douglas; Saff, Edward; Stoyanova, Maya
1
2017
Universal lower bounds for potential energy of spherical codes. Zbl 1404.94154
Boyvalenkov, P. G.; Dragnev, P. D.; Hardin, D. P.; Saff, E. B.; Stoyanova, M. M.
14
2016
Minimum Riesz energy problems for a condenser with touching plates. Zbl 1338.31008
Dragnev, P. D.; Fuglede, B.; Hardin, Doug P.; Saff, Edward B.; Zorii, Natalia
6
2016
Universal upper and lower bounds on energy of spherical designs. Zbl 1370.31003
Boyvalenkov, P. G.; Dragnev, P. D.; Hardin, D. P.; Saff, E. B.; Stoyanova, M. M.
9
2015
Riesz external field problems on the hypersphere and optimal point separation. Zbl 1307.31010
Brauchart, Johann S.; Dragnev, Peter D.; Saff, Edward B.
13
2014
An electrostatics problem on the sphere arising from a nearby point charge. Zbl 1422.31004
Brauchart, Johann S.; Dragnev, Peter D.; Saff, Edward B.
1
2014
Asymptotics of Carleman polynomials for level curves of the inverse of a shifted Zhukovsky transformation. Zbl 1275.42040
Dragnev, Peter; Miña-Díaz, Erwin; Northington, Michael V
3
2013
Convexity of harmonic densities. Zbl 1253.31004
Benko, David; Dragnev, Peter; Totik, Vilmos
7
2012
A fascinating polynomial sequence arising from an electrostatics problem on the sphere. Zbl 1299.30007
Brauchart, J. S.; Dragnev, P. D.; Saff, E. B.; van de Woestijne, C. E.
6
2012
Balayage ping-pong: a convexity of equilibrium measures. Zbl 1250.31003
Benko, David; Dragnev, Peter D.
3
2012
On supports of equilibrium measures with concave signed equilibria. Zbl 1255.31001
Benko, D.; Damelin, S. B.; Dragnev, P. D.
2
2012
On a series representation for Carleman orthogonal polynomials. Zbl 1213.30072
Dragnev, Peter; Miña-Díaz, Erwin
6
2010
Asymptotic behavior and zero distribution of Carleman orthogonal polynomials. Zbl 1210.33014
Dragnev, Peter; Miña-Díaz, Erwin
6
2010
Riesz extremal measures on the sphere for axis-supported external fields. Zbl 1175.31004
Brauchart, J. S.; Dragnev, P. D.; Saff, E. B.
15
2009
Riesz spherical potentials with external fields and minimal energy points separation. Zbl 1115.31003
Dragnev, P. D.; Saff, E. B.
25
2007
On the support of the equilibrium measure for arcs of the unit circle and for real intervals. Zbl 1131.31301
Benko, D.; Damelin, S. B.; Dragnev, P. D.
8
2006
Polynomial approximation of the checkmark function. Zbl 1065.41012
Dragnev, P. D.; Legg, D. A.; Townsend, D. W.
1
2004
Discrete logarithmic energy on the sphere. Zbl 1051.52007
Dragnev, P. D.; Legg, D. A.; Townsend, D. W.
18
2002
On the separation of logarithmic points on the sphere. Zbl 1228.41011
Dragnev, P. D.
14
2002
Constrained Leja points and the numerical solution of the constrained energy problem. Zbl 0982.65077
Coroian, Dan I.; Dragnev, Peter
7
2001
The support of the equilibrium measure for a class of external fields on a finite interval. Zbl 1062.31002
Damelin, S. B.; Dragnev, P. D.; Kuijlaars, A. B. J.
4
2001
A problem in potential theory and zero asymptotics of Krawtchouk polynomials. Zbl 0951.33008
Dragnev, P. D.; Saff, E. B.
17
2000
Equilibrium problems associated with fast decreasing polynomials. Zbl 1050.31002
Kuijlaars, A. B. J.; Dragnev, P. D.
23
1999
Constrained energy problems with applications to orthogonal polynomials of a discrete variable. Zbl 0898.31003
Dragnev, P. D.; Saff, E. B.
51
1997
Open problems in approximation theory, Tampa ’96. Zbl 0870.41001
Dragnev, P. D.; Saff, E. B.
1
1996
all top 5

Cited by 202 Authors

26 Saff, Edward Barry
23 Dragnev, Peter D.
16 Hardin, Douglas P.
12 Zorii, Natalia
11 Kuijlaars, Arno B. J.
10 Boĭvalenkov, Pet”r Georgiev
8 Brauchart, Johann S.
7 Stoyanova, Maya M.
6 Beltrán, Carlos
6 Fuglede, Bent
5 Benko, David
5 Miña-Díaz, Erwin
5 Orive Rodríguez, Ramón Angel
4 Damelin, Steven Benjamin
4 Lapik, M. A.
4 López García, Abey
4 Martínez-Finkelshtein, Andrei
4 Rakhmanov, Evgenij Andreevich
3 Aptekarev, Alexander Ivanovich
3 Bannai, Eiichi
3 Bannai, Etsuko
3 Beckermann, Bernhard
3 Bilogliadov, Mykhailo
3 Grabner, Peter J.
3 Sánchez Lara, Joaquin F.
3 Totik, Vilmos
3 Wielonsky, Franck
3 Wong, Roderick Sue-Chuen
3 Zhu, Yan
2 Abdullayev, Fahreddin G.
2 Bleher, Pavel M.
2 Bloom, Thomas
2 Chafaï, Djalil
2 Criado del Rey, Juan G.
2 Das, Sayan Kumar
2 Delchev, Konstantin
2 Delvaux, Steven
2 Dimitrov, Evgeni I.
2 Dominici, Diego Ernesto
2 Duits, Maurice
2 Güttel, Stefan
2 Harbrecht, Helmut
2 Kiessling, Michael Karl-Heinz
2 Legg, Alan R.
2 Levenberg, Norman jun.
2 Liechty, Karl
2 Marzo, Jordi
2 McCleary, Ryan E.
2 McLaughlin, Kenneth D. T.-R.
2 Musin, Oleg R.
2 Petrache, Mircea
2 Schwartz, Richard Evan
2 Simanek, Brian Z.
2 Stepanyuk, Tetiana A.
2 Van Assche, Walter
2 Van Barel, Marc
2 Wendland, Wolfgang L.
2 Womersley, Robert S.
2 Yu, Wei-Hsuan
2 Zhang, Lun
1 Alan, Muhammed Ali
1 Álvarez-Nodarse, Renato
1 Area, Iván
1 Armentano, Diego
1 Bétermin, Laurent
1 Birtea, Petre
1 Bondarenko, Andriy V.
1 Borodachov, Sergiy V.
1 Borodin, Alexei
1 Bouniaev, Mikhail M.
1 Carrillo de la Plata, José Antonio
1 Chakraborty, Somnath
1 Chesnokov, Andrey A.
1 Cohen, Philip R.
1 Cohn, Henry Lee
1 Colomo, Filippo
1 Comănescu, Dan
1 Coroian, Dan I.
1 Corral, Nuria
1 Cunden, Fabio Deelan
1 Cuomo, Gabriel Francisco
1 Dai, Dan
1 De Courcy-Ireland, Matthew
1 de Garis, Hugo
1 Deckers, Karl
1 Dehesa, Jesús S.
1 Deift, Percy A.
1 Delacrétaz, Luca V.
1 Diethelm, Kai
1 Dimitrov, Dimitar K.
1 Dolbilin, Nikolaĭ Petrovich
1 Dubickas, Artūras
1 Etayo, Ujué
1 Evans, David John
1 Farkas, Bálint
1 Fidalgo, Ulises
1 Forrester, Peter J.
1 Gamboa, Fabrice
1 Geronimo, Jeffrey S.
1 Ghosh, Subhroshekhar
...and 102 more Authors
all top 5

Cited in 75 Serials

15 Constructive Approximation
13 Journal of Approximation Theory
9 Journal of Mathematical Analysis and Applications
9 Potential Analysis
6 Journal of Computational and Applied Mathematics
5 Communications in Mathematical Physics
5 Discrete & Computational Geometry
5 Computational Methods and Function Theory
4 Communications on Pure and Applied Mathematics
4 Transactions of the American Mathematical Society
4 Journal of Complexity
4 Numerical Algorithms
4 Analysis and Mathematical Physics
3 Journal d’Analyse Mathématique
3 Mathematics of Computation
3 Journal of Functional Analysis
3 Designs, Codes and Cryptography
2 Journal of Mathematical Physics
2 Journal of Statistical Physics
2 Duke Mathematical Journal
2 Mathematische Nachrichten
2 Numerische Mathematik
2 Proceedings of the American Mathematical Society
2 Acta Mathematica Hungarica
2 Advances in Computational Mathematics
2 Electronic Journal of Probability
2 Foundations of Computational Mathematics
2 Analysis and Applications (Singapore)
1 Analysis Mathematica
1 Archive for Rational Mechanics and Analysis
1 Mathematical Notes
1 Theoretical and Mathematical Physics
1 Ukrainian Mathematical Journal
1 Advances in Mathematics
1 Applied Mathematics and Computation
1 BIT
1 Publications Mathématiques
1 Journal of Combinatorial Theory. Series A
1 Journal of Optimization Theory and Applications
1 Mathematika
1 Memoirs of the American Mathematical Society
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerical Functional Analysis and Optimization
1 Results in Mathematics
1 Transactions of the Moscow Mathematical Society
1 Chinese Annals of Mathematics. Series B
1 Graphs and Combinatorics
1 Revista Matemática Iberoamericana
1 Numerical Methods for Partial Differential Equations
1 SIAM Journal on Discrete Mathematics
1 The Annals of Applied Probability
1 IMRN. International Mathematics Research Notices
1 International Journal of Computer Mathematics
1 Linear Algebra and its Applications
1 SIAM Journal on Mathematical Analysis
1 Bulletin of the Polish Academy of Sciences, Mathematics
1 Journal of Dynamics and Differential Equations
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Experimental Mathematics
1 Russian Journal of Mathematical Physics
1 Combinatorics, Probability and Computing
1 The Electronic Journal of Combinatorics
1 The Journal of Fourier Analysis and Applications
1 Annales Academiae Scientiarum Fennicae. Mathematica
1 The Ramanujan Journal
1 Taiwanese Journal of Mathematics
1 Journal of High Energy Physics
1 Lobachevskii Journal of Mathematics
1 SIAM Journal on Applied Dynamical Systems
1 Journal of the Institute of Mathematics of Jussieu
1 Complex Analysis and Operator Theory
1 Advances in Calculus of Variations
1 Random Matrices: Theory and Applications
1 Transactions of the London Mathematical Society
1 Open Mathematics
all top 5

Cited in 37 Fields

75 Potential theory (31-XX)
30 Special functions (33-XX)
28 Approximations and expansions (41-XX)
24 Probability theory and stochastic processes (60-XX)
24 Numerical analysis (65-XX)
23 Harmonic analysis on Euclidean spaces (42-XX)
19 Statistical mechanics, structure of matter (82-XX)
17 Functions of a complex variable (30-XX)
15 Convex and discrete geometry (52-XX)
12 Combinatorics (05-XX)
12 Linear and multilinear algebra; matrix theory (15-XX)
10 Calculus of variations and optimal control; optimization (49-XX)
9 Information and communication theory, circuits (94-XX)
8 Operations research, mathematical programming (90-XX)
7 Measure and integration (28-XX)
6 Number theory (11-XX)
6 Partial differential equations (35-XX)
5 Dynamical systems and ergodic theory (37-XX)
5 Quantum theory (81-XX)
3 Real functions (26-XX)
3 Ordinary differential equations (34-XX)
3 Operator theory (47-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Computer science (68-XX)
3 Optics, electromagnetic theory (78-XX)
2 Functional analysis (46-XX)
2 Mechanics of particles and systems (70-XX)
1 History and biography (01-XX)
1 Field theory and polynomials (12-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Abstract harmonic analysis (43-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)
1 Statistics (62-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year