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Dynnikov, Ivan Alekseevich

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Author ID: dynnikov.ivan-alekseevich Recent zbMATH articles by "Dynnikov, Ivan Alekseevich"
Published as: Dynnikov, I.; Dynnikov, I. A.; Dynnikov, Ivan; Dynnikov, Ivan A.; Dynnikov, Ivan Alekseevich
Documents Indexed: 48 Publications since 1992, including 2 Books

Publications by Year

Citations contained in zbMATH

33 Publications have been cited 275 times in 192 Documents Cited by Year
Ordering braids. Zbl 1163.20024
Dehornoy, Patrick; Dynnikov, Ivan; Rolfsen, Dale; Wiest, Bert
50
2008
Arc-presentations of links: monotonic simplification. Zbl 1132.57006
Dynnikov, I. A.
36
2006
Why are braids orderable? Zbl 1048.20021
Dehornoy, Patrick; Dynnikov, Ivan; Rolfsen, Dale; Wiest, Bert
22
2002
Discrete spectral symmetries of low-dimensional differential operators and difference operators on regular lattices and two-dimensional manifolds. Zbl 0928.35107
Novikov, S. P.; Dynnikov, I. A.
22
1997
On the complexity of braids. Zbl 1187.20045
Dynnikov, Ivan; Wiest, Bert
16
2007
Geometry of the triangle equation on two-manifolds. Zbl 1046.39016
Dynnikov, I. A.; Novikov, S. P.
15
2003
Geometry of plane sections of the infinite regular skew polyhedron \(\{4, 6 | 4\}\). Zbl 1165.28006
DeLeo, Roberto; Dynnikov, Ivan A.
12
2009
On a Yang-Baxter mapping and the Dehornoy ordering. Zbl 1067.20501
Dynnikov, I. A.
11
2002
Semiclassical motion of the electron. A proof of the Novikov conjecture in general position and counterexamples. Zbl 0923.58043
Dynnikov, I. A.
9
1997
Topology of quasiperiodic functions on the plane. Zbl 1148.37043
Dynnikov, I. A.; Novikov, S. P.
8
2005
The geometry of the stability regions in Novikov’s problem on the semiclassical motion of an electron. Zbl 0935.57040
Dynnikov, I. A.
7
1999
Bypasses for rectangular diagrams. A proof of the Jones conjecture and related questions. Zbl 1307.57004
Dynnikov, I. A.; Prasolov, M. V.
6
2013
Interval identification systems and plane sections of 3-periodic surfaces. Zbl 1231.37024
Dynnikov, I. A.
6
2008
Proof of S. P. Novikov’s conjecture on the semiclassical motion of an electron. Zbl 0808.58014
Dynnikov, I. A.
6
1993
Symmetric band complexes of thin type and chaotic sections which are not quite chaotic. Zbl 1335.57042
Dynnikov, Ivan; Skripchenko, Alexandra
5
2015
Recognition algorithms in knot theory. Zbl 1063.57005
Dynnikov, I. A.
5
2003
Integrable gradient flows and Morse theory. Zbl 0884.58022
Veselov, A. P.; Dynnikov, I. A.
5
1996
Proof of S. P. Novikov’s conjecture for the case of small perturbations of rational magnetic fields. Zbl 0778.58016
Dynnikov, I. A.
5
1992
Three-page representation of links. Zbl 0932.57010
Dynnikov, I. A.
4
1998
On typical leaves of a measured foliated 2-complex of thin type. Zbl 1360.57029
Dynnikov, Ivan; Skripchenko, Alexandra
3
2014
A new way to represent links. One-dimensional formalism and untangling technology. Zbl 1006.57001
Dynnikov, I. A.
3
2001
Three-page approach to knot theory. Universal semigroup. Zbl 0958.57006
Dynnikov, I. A.
3
2000
Three-page approach to knot theory. Encoding and local moves. Zbl 0947.57005
Dynnikov, I. A.
3
1999
An example of a fractal set of plane directions having chaotic intersections with a fixed 3-periodic surface. Zbl 1149.28301
De Leo, R.; Dynnikov, I. A.
2
2007
Exactly solvable cyclic Darboux \(q\)-chains. Zbl 1046.37043
Dynnikov, I. A.; Smirnov, S. V.
2
2002
Laplace transforms and simplicial connections. Zbl 0928.39009
Dynnikov, I. A.; Novikov, S. P.
2
1997
On equivalence of Legendrian knots. Zbl 1428.53092
Dynnikov, I. A.; Shastin, V. A.
1
2018
Rectangular diagrams of surfaces: representability. Zbl 1378.57005
Dynnikov, Ivan A.; Prasolov, Maxim V.
1
2017
On a new discretization of complex analysis. Zbl 1353.39004
Dynnikov, I. A.
1
2015
On independence of some pseudocharacters on braid groups. Zbl 1279.20045
Dynnikov, I. A.; Shastin, V. A.
1
2013
A mathematical webservice for recognizing the unknot. Zbl 1011.68175
Andreeva, M. V.; Dynnikov, I. A.; Polthier, K.
1
2002
Surfaces in 3-torus: Geometry of plane sections. Zbl 0953.57001
Dynnikov, I.
1
1998
Intersections of level surfaces of pseudoperiodic functions. Zbl 0842.58017
Dynnikov, I. A.
1
1994
On equivalence of Legendrian knots. Zbl 1428.53092
Dynnikov, I. A.; Shastin, V. A.
1
2018
Rectangular diagrams of surfaces: representability. Zbl 1378.57005
Dynnikov, Ivan A.; Prasolov, Maxim V.
1
2017
Symmetric band complexes of thin type and chaotic sections which are not quite chaotic. Zbl 1335.57042
Dynnikov, Ivan; Skripchenko, Alexandra
5
2015
On a new discretization of complex analysis. Zbl 1353.39004
Dynnikov, I. A.
1
2015
On typical leaves of a measured foliated 2-complex of thin type. Zbl 1360.57029
Dynnikov, Ivan; Skripchenko, Alexandra
3
2014
Bypasses for rectangular diagrams. A proof of the Jones conjecture and related questions. Zbl 1307.57004
Dynnikov, I. A.; Prasolov, M. V.
6
2013
On independence of some pseudocharacters on braid groups. Zbl 1279.20045
Dynnikov, I. A.; Shastin, V. A.
1
2013
Geometry of plane sections of the infinite regular skew polyhedron \(\{4, 6 | 4\}\). Zbl 1165.28006
DeLeo, Roberto; Dynnikov, Ivan A.
12
2009
Ordering braids. Zbl 1163.20024
Dehornoy, Patrick; Dynnikov, Ivan; Rolfsen, Dale; Wiest, Bert
50
2008
Interval identification systems and plane sections of 3-periodic surfaces. Zbl 1231.37024
Dynnikov, I. A.
6
2008
On the complexity of braids. Zbl 1187.20045
Dynnikov, Ivan; Wiest, Bert
16
2007
An example of a fractal set of plane directions having chaotic intersections with a fixed 3-periodic surface. Zbl 1149.28301
De Leo, R.; Dynnikov, I. A.
2
2007
Arc-presentations of links: monotonic simplification. Zbl 1132.57006
Dynnikov, I. A.
36
2006
Topology of quasiperiodic functions on the plane. Zbl 1148.37043
Dynnikov, I. A.; Novikov, S. P.
8
2005
Geometry of the triangle equation on two-manifolds. Zbl 1046.39016
Dynnikov, I. A.; Novikov, S. P.
15
2003
Recognition algorithms in knot theory. Zbl 1063.57005
Dynnikov, I. A.
5
2003
Why are braids orderable? Zbl 1048.20021
Dehornoy, Patrick; Dynnikov, Ivan; Rolfsen, Dale; Wiest, Bert
22
2002
On a Yang-Baxter mapping and the Dehornoy ordering. Zbl 1067.20501
Dynnikov, I. A.
11
2002
Exactly solvable cyclic Darboux \(q\)-chains. Zbl 1046.37043
Dynnikov, I. A.; Smirnov, S. V.
2
2002
A mathematical webservice for recognizing the unknot. Zbl 1011.68175
Andreeva, M. V.; Dynnikov, I. A.; Polthier, K.
1
2002
A new way to represent links. One-dimensional formalism and untangling technology. Zbl 1006.57001
Dynnikov, I. A.
3
2001
Three-page approach to knot theory. Universal semigroup. Zbl 0958.57006
Dynnikov, I. A.
3
2000
The geometry of the stability regions in Novikov’s problem on the semiclassical motion of an electron. Zbl 0935.57040
Dynnikov, I. A.
7
1999
Three-page approach to knot theory. Encoding and local moves. Zbl 0947.57005
Dynnikov, I. A.
3
1999
Three-page representation of links. Zbl 0932.57010
Dynnikov, I. A.
4
1998
Surfaces in 3-torus: Geometry of plane sections. Zbl 0953.57001
Dynnikov, I.
1
1998
Discrete spectral symmetries of low-dimensional differential operators and difference operators on regular lattices and two-dimensional manifolds. Zbl 0928.35107
Novikov, S. P.; Dynnikov, I. A.
22
1997
Semiclassical motion of the electron. A proof of the Novikov conjecture in general position and counterexamples. Zbl 0923.58043
Dynnikov, I. A.
9
1997
Laplace transforms and simplicial connections. Zbl 0928.39009
Dynnikov, I. A.; Novikov, S. P.
2
1997
Integrable gradient flows and Morse theory. Zbl 0884.58022
Veselov, A. P.; Dynnikov, I. A.
5
1996
Intersections of level surfaces of pseudoperiodic functions. Zbl 0842.58017
Dynnikov, I. A.
1
1994
Proof of S. P. Novikov’s conjecture on the semiclassical motion of an electron. Zbl 0808.58014
Dynnikov, I. A.
6
1993
Proof of S. P. Novikov’s conjecture for the case of small perturbations of rational magnetic fields. Zbl 0778.58016
Dynnikov, I. A.
5
1992
all top 5

Cited by 225 Authors

13 Dynnikov, Ivan Alekseevich
7 Dehornoy, Patrick
6 Ito, Tetsuya
6 Yurttaş, Saadet Öykü
5 De Leo, Roberto
5 Malyutin, Andrey V.
4 Bobenko, Alexander Ivanovich
4 Clay, Adam
4 Mal’tsev, Andreĭ Yakovlevich
4 Navas, Andrés
4 Novikov, Sergeĭ Petrovich
4 Rivas, Cristóbal
4 Skripchenko, Alexandra
3 Fromentin, Jean
3 Hall, Toby
3 Hayashi, Chuichiro
3 Lee, Hwa Jeong
3 Paris, Luis
3 Prasolov, Maxim V.
3 Santini, Paolo Maria
3 Shemyakova, Ekaterina
2 Adler, Vsevolod Eduardovich
2 Ando, Tatsuo
2 Birman, Joan S.
2 Doliwa, Adam
2 Fish, Andrew
2 Grinevich, Pëtr Georgievich
2 Günther, Felix
2 Khabibullin, Ismagil Talgatovich
2 Halava, Vesa
2 Harju, Tero
2 Jugé, Vincent
2 Koberda, Thomas
2 Kurlin, Vitaliy
2 Laver, Richard Joseph
2 Lisitsa, Alexei
2 Macias-Virgós, Enrique
2 Manolescu, Ciprian
2 Menasco, William W.
2 Miller, Sheila K.
2 Nieszporski, Maciej
2 Niskanen, Reino
2 Ozsváth, Peter Steven
2 Pereira-Sáez, María José
2 Potapov, Igor
2 Skopenkov, Mikhail B.
2 Smirnov, Sergei Valer’evich
2 Szabo, Zoltan
2 Thurston, Dylan Paul
2 Wiest, Bertold
1 An, Byung Hee
1 Antonevich, Anatolij Borisovich
1 Arcis, Diego
1 Audoux, Benjamin
1 Avila Cordeiro de Melo, Artur
1 Baldridge, Scott Jeremy
1 Baldwin, John A.
1 Beliakova, Anna
1 ben Simon, Gabi
1 Bergeron, Nicolas
1 Bessis, David
1 Birindelli, Isabeau
1 Bohle, Christoph
1 Budišić, Marko
1 Burton, Benjamin A.
1 Buzulutskaya, A. N.
1 Camilo, Giancarlo
1 Campos, Hugo M.
1 Castillo Pérez, Raúl
1 Cattabriga, Alessia
1 Chakrabarti, Raj
1 Chelkak, Dmitry
1 Chernavskij, A. V.
1 Chouraqui, Fabienne
1 Chow, Bennett
1 Chterental, Oleg
1 Cimasoni, David
1 Colton, Leslie
1 Conner, Gregory R.
1 Corson, Samuel M.
1 Crisp, John D. C.
1 Cumplido, María
1 Dabkowska, Malgorzata A.
1 Dabkowski, Mieczysław K.
1 D’Ambra, Giuseppina
1 De Lima, Juliana Roberta Theodoro
1 de Mattos, Denise
1 Deloup, Florian L.
1 Droz, Jean-Marie
1 Dujmović, Vida
1 Egorov, Dima V.
1 Endrullis, Jörg
1 Erickson, Jeff
1 Erokhovets, Nikolaĭ Yur’evich
1 Feller, Peter
1 Funar, Louis
1 Gaifullin, Alexander A.
1 Gamburd, Alexander
1 Gelbukh, Irina
1 Glickenstein, David
...and 125 more Authors
all top 5

Cited in 86 Serials

24 Journal of Knot Theory and its Ramifications
11 Algebraic & Geometric Topology
8 Proceedings of the Steklov Institute of Mathematics
6 Geometry & Topology
5 Advances in Mathematics
5 Journal of Algebra
5 St. Petersburg Mathematical Journal
4 Journal of Mathematical Physics
4 Theoretical and Mathematical Physics
4 Groups, Geometry, and Dynamics
3 Mathematical Notes
3 Functional Analysis and its Applications
3 Proceedings of the American Mathematical Society
3 Topology and its Applications
3 Discrete & Computational Geometry
3 International Journal of Algebra and Computation
2 Russian Mathematical Surveys
2 Annales de l’Institut Fourier
2 Duke Mathematical Journal
2 Geometriae Dedicata
2 Journal für die Reine und Angewandte Mathematik
2 Monatshefte für Mathematik
2 Semigroup Forum
2 Siberian Mathematical Journal
2 Transactions of the American Mathematical Society
2 Transactions of the Moscow Mathematical Society
2 Acta Applicandae Mathematicae
2 Annals of Pure and Applied Logic
2 Annals of Global Analysis and Geometry
2 Differential Geometry and its Applications
2 Bulletin of the American Mathematical Society. New Series
2 Journal of Mathematical Sciences (New York)
2 Annales Mathématiques Blaise Pascal
2 Annals of Mathematics. Second Series
2 Journal of the European Mathematical Society (JEMS)
2 Communications in Contemporary Mathematics
1 Bulletin of the Australian Mathematical Society
1 Communications in Algebra
1 Discrete Applied Mathematics
1 Journal of Mathematical Analysis and Applications
1 Journal of Statistical Physics
1 Letters in Mathematical Physics
1 Nuclear Physics. B
1 Canadian Mathematical Bulletin
1 Illinois Journal of Mathematics
1 Inventiones Mathematicae
1 Journal of Combinatorial Theory. Series A
1 Journal of the Mathematical Society of Japan
1 Journal of Optimization Theory and Applications
1 Journal of Pure and Applied Algebra
1 Manuscripta Mathematica
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Osaka Journal of Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Theoretical Computer Science
1 Tohoku Mathematical Journal. Second Series
1 Ergodic Theory and Dynamical Systems
1 Acta Mathematica Hungarica
1 Physica D
1 Information and Computation
1 Sugaku Expositions
1 Geometric and Functional Analysis. GAFA
1 Archive for Mathematical Logic
1 Applicable Algebra in Engineering, Communication and Computing
1 Experimental Mathematics
1 Journal of Algebraic Combinatorics
1 Russian Journal of Mathematical Physics
1 Turkish Journal of Mathematics
1 Selecta Mathematica. New Series
1 Discrete and Continuous Dynamical Systems
1 Doklady Mathematics
1 Chicago Journal of Theoretical Computer Science
1 Chaos
1 Journal of High Energy Physics
1 Lobachevskii Journal of Mathematics
1 Journal of Nonlinear Mathematical Physics
1 Central European Journal of Mathematics
1 Sibirskie Èlektronnye Matematicheskie Izvestiya
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Complex Variables and Elliptic Equations
1 Functional Analysis and Other Mathematics
1 Journal of Fixed Point Theory and Applications
1 Journal of Modern Dynamics
1 Kyoto Journal of Mathematics
all top 5

Cited in 44 Fields

104 Manifolds and cell complexes (57-XX)
66 Group theory and generalizations (20-XX)
42 Dynamical systems and ergodic theory (37-XX)
18 Order, lattices, ordered algebraic structures (06-XX)
12 Differential geometry (53-XX)
12 Global analysis, analysis on manifolds (58-XX)
12 Computer science (68-XX)
10 Convex and discrete geometry (52-XX)
10 Quantum theory (81-XX)
9 Partial differential equations (35-XX)
9 Difference and functional equations (39-XX)
8 Functions of a complex variable (30-XX)
7 Combinatorics (05-XX)
6 Mathematical logic and foundations (03-XX)
6 Associative rings and algebras (16-XX)
6 Algebraic topology (55-XX)
6 Statistical mechanics, structure of matter (82-XX)
4 Topological groups, Lie groups (22-XX)
4 Potential theory (31-XX)
4 Optics, electromagnetic theory (78-XX)
3 General algebraic systems (08-XX)
3 Category theory; homological algebra (18-XX)
3 Measure and integration (28-XX)
3 Ordinary differential equations (34-XX)
3 General topology (54-XX)
3 Mechanics of particles and systems (70-XX)
2 General and overarching topics; collections (00-XX)
2 Algebraic geometry (14-XX)
2 Operator theory (47-XX)
2 Geometry (51-XX)
2 Probability theory and stochastic processes (60-XX)
1 Number theory (11-XX)
1 Commutative algebra (13-XX)
1 Nonassociative rings and algebras (17-XX)
1 Special functions (33-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Numerical analysis (65-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Biology and other natural sciences (92-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year