# zbMATH — the first resource for mathematics

## Zvonkin, Alexander K.

Compute Distance To:
 Author ID: zvonkin.alexander-k Published as: Zvonkin, Alexander; Zvonkin, A. K.; Zvonkin, Alexander K.; Zvonkin, A. External Links: MGP
 Documents Indexed: 33 Publications since 1970, including 2 Books
all top 5

#### Co-Authors

 12 single-authored 4 Pakovich, Fedor 3 Adrianov, Nikolai M. 3 Lando, Sergei K. 2 El Marraki, Mohamed 2 Jones, Gareth A. 1 Bétréma, Jean 1 Braverman, Maxim 1 Dikansky, Arnold 1 Durand, Bruno 1 Friedlander, Leonid 1 Gromov, Mikhael Leonidovich 1 Hanusse, Nicolas 1 Ivrii, Victor Ja. 1 Kordyukov, Yuri A. 1 Krylov, Nicolaĭ Vladimirovich 1 Kuchment, Peter A. 1 Levin, Leonid A. 1 Magot, Nicolas 1 Matiyasevich, Yuriĭ Vladimirovich 1 Maz’ya, Vladimir Gilelevich 1 McOwen, Robert C. 1 Pech, Christian 1 Shabat, George B. 1 Shubin, Mikhail Aleksandrovich 1 Sunada, Toshikazu 1 Zipperer, Jörg
all top 5

#### Serials

 3 Discrete Mathematics 3 Journal of Mathematical Sciences (New York) 2 Russian Mathematical Surveys 2 Matematicheskiĭ Sbornik. Novaya Seriya 2 Selecta Mathematica Sovietica 2 Mathematics of the USSR, Sbornik 2 Séminaire Lotharingien de Combinatoire 1 Theoretical Computer Science 1 Acta Applicandae Mathematicae 1 Mathematical and Computer Modelling 1 Notices of the American Mathematical Society 1 Selecta Mathematica. New Series 1 Moscow Mathematical Journal 1 International Journal of Number Theory 1 Mathematical Surveys and Monographs
all top 5

#### Fields

 20 Combinatorics (05-XX) 7 Functions of a complex variable (30-XX) 6 Algebraic geometry (14-XX) 6 Probability theory and stochastic processes (60-XX) 5 Number theory (11-XX) 5 Field theory and polynomials (12-XX) 5 Group theory and generalizations (20-XX) 4 Manifolds and cell complexes (57-XX) 3 Quantum theory (81-XX) 3 Systems theory; control (93-XX) 2 Special functions (33-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Ordinary differential equations (34-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX)

#### Citations contained in zbMATH Open

23 Publications have been cited 677 times in 636 Documents Cited by Year
Graphs on surfaces and their applications. Appendix by Don B. Zagier. Zbl 1040.05001
Lando, S. K.; Zvonkin, A. K.
2004
The complexity of finite objects and the development of the concepts of information and randomness by means of the theory of algorithms. Zbl 0222.02027
Zvonkin, A. K.; Levin, L. A.
1970
A transformation of the phase space of a diffusion process that removes the drift. Zbl 0306.60049
Zvonkin, A. K.
1975
Matrix integrals and map enumeration: an accessible introduction. Zbl 1185.81083
Zvonkin, A.
1997
Plane and projective meanders. Zbl 0792.05005
Lando, S. K.; Zvonkin, A. K.
1993
Non-standard analysis and singular perturbations of ordinary differential equations. Zbl 0549.34055
Zvonkin, A. K.; Shubin, M. A.
1984
Plane trees and algebraic numbers. Zbl 0816.05024
Shabat, George; Zvonkin, Alexander
1994
Meanders. Zbl 0792.05006
Lando, S. K.; Zvonkin, A. K.
1992
Plane trees and Shabat polynomials. Zbl 0851.05098
Bétréma, Jean; Zvonkin, Alexander
1996
On strong solutions of stochastic differential equations. Zbl 0481.60062
Zvonkin, A. K.; Krylov, N. V.
1975
Belyi functions for Archimedean solids. Zbl 0964.52014
Magot, Nicolas; Zvonkin, Alexander
2000
Composition of plane trees. Zbl 0914.05017
1998
Cacti, braids and complex polynomials. Zbl 0976.57004
El Marraki, Mohamed; Hanusse, Nicolas; Zipperer, Jörg; Zvonkin, Alexander
1996
Minimum degree of the difference of two polynomials over $${\mathbb Q}$$, and weighted plane trees. Zbl 1316.11057
Pakovich, Fedor; Zvonkin, Alexander K.
2014
Megamaps: Construction and examples. Zbl 1007.05099
Zvonkin, Alexander
2001
Orbits of braid groups on cacti. Zbl 1008.20030
Jones, Gareth A.; Zvonkin, Alexander
2002
Transformation des Phasenraums eines Diffusionsprozesses, die die Drift zum Verschwinden bringt. Zbl 0291.60036
Zvonkin, A. K.
1974
Weighted trees with primitive edge rotation groups. Zbl 1357.11063
2015
Belyi functions: examples, properties and applications. Zbl 1178.30054
Zvonkin, Alexander K.
2008
How to draw a group? Zbl 0892.05022
Zvonkin, Alexander
1998
Laurent polynomial moment problem: a case study. Zbl 1223.30010
Pakovich, Fedor; Pech, Christian; Zvonkin, Alexander K.
2010
On sequentially controlled Markov processes. Zbl 0263.60040
Zvonkin, A. K.
1972
Enumeration of weighted plane trees. Zbl 1321.05051
Zvonkin, A. K.
2015
Weighted trees with primitive edge rotation groups. Zbl 1357.11063
2015
Enumeration of weighted plane trees. Zbl 1321.05051
Zvonkin, A. K.
2015
Minimum degree of the difference of two polynomials over $${\mathbb Q}$$, and weighted plane trees. Zbl 1316.11057
Pakovich, Fedor; Zvonkin, Alexander K.
2014
Laurent polynomial moment problem: a case study. Zbl 1223.30010
Pakovich, Fedor; Pech, Christian; Zvonkin, Alexander K.
2010
Belyi functions: examples, properties and applications. Zbl 1178.30054
Zvonkin, Alexander K.
2008
Graphs on surfaces and their applications. Appendix by Don B. Zagier. Zbl 1040.05001
Lando, S. K.; Zvonkin, A. K.
2004
Orbits of braid groups on cacti. Zbl 1008.20030
Jones, Gareth A.; Zvonkin, Alexander
2002
Megamaps: Construction and examples. Zbl 1007.05099
Zvonkin, Alexander
2001
Belyi functions for Archimedean solids. Zbl 0964.52014
Magot, Nicolas; Zvonkin, Alexander
2000
Composition of plane trees. Zbl 0914.05017
1998
How to draw a group? Zbl 0892.05022
Zvonkin, Alexander
1998
Matrix integrals and map enumeration: an accessible introduction. Zbl 1185.81083
Zvonkin, A.
1997
Plane trees and Shabat polynomials. Zbl 0851.05098
Bétréma, Jean; Zvonkin, Alexander
1996
Cacti, braids and complex polynomials. Zbl 0976.57004
El Marraki, Mohamed; Hanusse, Nicolas; Zipperer, Jörg; Zvonkin, Alexander
1996
Plane trees and algebraic numbers. Zbl 0816.05024
Shabat, George; Zvonkin, Alexander
1994
Plane and projective meanders. Zbl 0792.05005
Lando, S. K.; Zvonkin, A. K.
1993
Meanders. Zbl 0792.05006
Lando, S. K.; Zvonkin, A. K.
1992
Non-standard analysis and singular perturbations of ordinary differential equations. Zbl 0549.34055
Zvonkin, A. K.; Shubin, M. A.
1984
A transformation of the phase space of a diffusion process that removes the drift. Zbl 0306.60049
Zvonkin, A. K.
1975
On strong solutions of stochastic differential equations. Zbl 0481.60062
Zvonkin, A. K.; Krylov, N. V.
1975
Transformation des Phasenraums eines Diffusionsprozesses, die die Drift zum Verschwinden bringt. Zbl 0291.60036
Zvonkin, A. K.
1974
On sequentially controlled Markov processes. Zbl 0263.60040
Zvonkin, A. K.
1972
The complexity of finite objects and the development of the concepts of information and randomness by means of the theory of algorithms. Zbl 0222.02027
Zvonkin, A. K.; Levin, L. A.
1970
all top 5

#### Cited by 710 Authors

 15 Huang, Xing 11 Zhang, Xicheng 10 Hutter, Marcus 9 Proske, Frank Norbert 9 Staiger, Ludwig 9 V’yugin, Vladimir V. 8 Pakovich, Fedor 8 Zvonkin, Alexander K. 7 Chapuy, Guillaume 7 Flandoli, Franco 7 Kochetkov, Yuri Yu. 7 Stephan, Frank 6 Harnad, John 6 Karatzas, Ioannis 6 Muchnik, Andrej A. 6 Nedela, Roman 6 Shen, Alexander 6 Teutsch, Jason 6 Vitányi, Paul M. B. 6 Wang, Feng-Yu 5 Adrianov, Nikolai M. 5 Bienvenu, Laurent 5 Calude, Cristian S. 5 Collins, Benoît 5 Féray, Valentin 5 Goulden, Ian P. 5 Guionnet, Alice 5 Hoyrup, Mathieu 5 Jones, Gareth A. 5 Meyer-Brandis, Thilo 5 Nechita, Ion 5 Nica, Alexandru 5 Shabat, George B. 5 Śniady, Piotr 4 Baños, David R. 4 Bernardi, Olivier 4 Chmutov, Sergei V. 4 Day, Adam R. 4 Di Francesco, Philippe 4 Dołȩga, Maciej 4 Gacs, Peter 4 Guitter, Emmanuel 4 Lando, Sergei K. 4 Le Gall, Jean-François 4 Lutz, Jack H. 4 Mednykh, Aleksandr Dmitrievich 4 Menoukeu Pamen, Olivier 4 Miller, Joseph S. 4 Morales, Alejandro H. 4 Nilssen, Torstein K. 4 Priola, Enrico 4 Rodríguez-Luis, Alejandro J. 4 Rojas, Cristobal 4 Vidunas, Raimundas 4 Yor, Marc 4 Zimand, Marius 3 Algaba, Antonio 3 Beneš, Václav Edvard 3 Bertola, Marco 3 Borkar, Vivek Shripad 3 Bychkov, Boris S. 3 Catalano, Domenico A. 3 Chung, Kwok-Wai 3 Da Prato, Giuseppe 3 Downey, Rodney Graham 3 Dremov, V. A. 3 Duedahl, Sindre 3 Epifanov, E. M. 3 Gyöngy, István 3 He, Yang-Hui Evariste 3 Kalnishkan, Yuri 3 Kitaev, Alexander V. 3 Labelle, Gilbert 3 Lathrop, James I. 3 Leroux, Pierre 3 Manin, Yuri Ivanovich 3 Marcolli, Matilde 3 Matsumoto, Sho 3 Mishura, Yuliya Stepanivna 3 Nasyrov, S. R. 3 Nies, André Otfrid 3 Ouknine, Youssef 3 Panayotopoulos, Antonios 3 Petronio, Carlo 3 Planat, Michel 3 Porter, Christopher P. 3 Qin, Bo-Wei 3 Rinaldi, Sergio 3 Russo, Francesco 3 Ryabko, Boris Ya. 3 Sobolev, Vladimir A. 3 Szölgyenyi, Michaela 3 Tadaki, Kohtaro 3 Taguchi, Dai 3 Vereshchagin, Nikolai K. 3 Vyugin, Michael V. 3 Xie, Longjie 3 Yu, Liang 3 Yuan, Chenggui 3 Zhao, GuoHuan ...and 610 more Authors
all top 5

#### Cited in 216 Serials

 33 Theoretical Computer Science 32 Journal of Mathematical Sciences (New York) 17 Journal of Mathematical Physics 16 Information and Computation 16 Stochastic Processes and their Applications 14 Journal of Combinatorial Theory. Series A 14 Probability Theory and Related Fields 13 European Journal of Combinatorics 13 Theory of Computing Systems 12 Communications in Mathematical Physics 11 The Annals of Probability 11 Journal of Computer and System Sciences 11 Transactions of the American Mathematical Society 10 Journal of Differential Equations 10 Journal of Theoretical Probability 9 Discrete Mathematics 9 Advances in Mathematics 9 Advances in Applied Mathematics 8 Annals of Pure and Applied Logic 8 Proceedings of the Steklov Institute of Mathematics 7 Functional Analysis and its Applications 7 Journal of Functional Analysis 6 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 6 Stochastics and Dynamics 5 Information Processing Letters 5 Journal of Mathematical Analysis and Applications 5 Nuclear Physics. B 5 Statistics & Probability Letters 5 Journal of High Energy Physics 4 Systems & Control Letters 4 Applied Mathematics Letters 4 Bulletin des Sciences Mathématiques 4 Annals of Combinatorics 3 Journal of Statistical Physics 3 Moscow University Mathematics Bulletin 3 Mathematics of Computation 3 Annales de l’Institut Fourier 3 Inventiones Mathematicae 3 Journal of Algebra 3 Journal of Mathematical Psychology 3 Journal of Optimization Theory and Applications 3 Journal of Soviet Mathematics 3 Siberian Mathematical Journal 3 Topology and its Applications 3 Physica D 3 Discrete & Computational Geometry 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 The Electronic Journal of Combinatorics 3 Electronic Journal of Probability 3 Séminaire Lotharingien de Combinatoire 3 Mathematics in Computer Science 3 Algorithms 3 Algebraic Combinatorics 2 International Journal of Modern Physics A 2 Advances in Applied Probability 2 Letters in Mathematical Physics 2 Mathematical Notes 2 Theoretical and Mathematical Physics 2 Bulletin of Mathematical Biology 2 Chaos, Solitons and Fractals 2 Journal of Geometry and Physics 2 Beiträge zur Algebra und Geometrie 2 Acta Mathematica 2 Geometriae Dedicata 2 Journal of Combinatorial Theory. Series B 2 The Journal of Symbolic Logic 2 Kybernetika 2 Mathematische Annalen 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the American Mathematical Society 2 Stochastic Analysis and Applications 2 Journal of Complexity 2 Constructive Approximation 2 Mathematical and Computer Modelling 2 The Annals of Applied Probability 2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section B. Calcul des Probabilités et Statistique 2 Bulletin of the American Mathematical Society. New Series 2 Indagationes Mathematicae. New Series 2 Journal of Algebraic Combinatorics 2 Potential Analysis 2 Journal de Théorie des Nombres de Bordeaux 2 St. Petersburg Mathematical Journal 2 Bernoulli 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Journal of the European Mathematical Society (JEMS) 2 Lobachevskii Journal of Mathematics 2 Algebraic & Geometric Topology 2 Communications on Pure and Applied Analysis 2 Computational Methods and Function Theory 2 Quantum Information Processing 2 Journal of Physics A: Mathematical and Theoretical 2 Random Matrices: Theory and Applications 2 Nonlinear Analysis. Theory, Methods & Applications 2 Arnold Mathematical Journal 1 International Journal of Modern Physics B 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the Australian Mathematical Society 1 Discrete Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics ...and 116 more Serials
all top 5

#### Cited in 55 Fields

 174 Probability theory and stochastic processes (60-XX) 158 Combinatorics (05-XX) 139 Computer science (68-XX) 68 Algebraic geometry (14-XX) 55 Mathematical logic and foundations (03-XX) 48 Ordinary differential equations (34-XX) 45 Quantum theory (81-XX) 42 Manifolds and cell complexes (57-XX) 41 Dynamical systems and ergodic theory (37-XX) 40 Functions of a complex variable (30-XX) 38 Partial differential equations (35-XX) 33 Number theory (11-XX) 33 Linear and multilinear algebra; matrix theory (15-XX) 32 Group theory and generalizations (20-XX) 27 Statistical mechanics, structure of matter (82-XX) 19 Special functions (33-XX) 19 Information and communication theory, circuits (94-XX) 18 Systems theory; control (93-XX) 15 Statistics (62-XX) 14 Numerical analysis (65-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Measure and integration (28-XX) 11 Several complex variables and analytic spaces (32-XX) 11 Functional analysis (46-XX) 11 Biology and other natural sciences (92-XX) 10 Convex and discrete geometry (52-XX) 9 Global analysis, analysis on manifolds (58-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 6 Approximations and expansions (41-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Field theory and polynomials (12-XX) 4 Associative rings and algebras (16-XX) 4 Operator theory (47-XX) 4 Geometry (51-XX) 3 Nonassociative rings and algebras (17-XX) 3 Topological groups, Lie groups (22-XX) 3 Difference and functional equations (39-XX) 3 Differential geometry (53-XX) 3 General topology (54-XX) 3 Mechanics of particles and systems (70-XX) 3 Fluid mechanics (76-XX) 3 Relativity and gravitational theory (83-XX) 3 Operations research, mathematical programming (90-XX) 2 History and biography (01-XX) 2 Category theory; homological algebra (18-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Algebraic topology (55-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Commutative algebra (13-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Mechanics of deformable solids (74-XX)