Edit Profile Dynnikov, Ivan Alekseevich Compute Distance To: Compute Author ID: 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 all top 5 Co-Authors 24 single-authored 4 Novikov, Sergeĭ Petrovich 3 Prasolov, Maxim V. 3 Skripchenko, Alexandra 3 Taimanov, Iskander Asanovich 3 Vesnin, Andrei Yu. 3 Wiest, Bertold 2 De Leo, Roberto 2 Dehornoy, Patrick 2 Mironov, Andreĭ Evgen’evich 2 Rolfsen, Dale 2 Shastin, Vladimir Alekseevich 2 Veselov, Alexander Petrovich 1 Andreeva, Maria V. 1 Bukhshtaber, Viktor Matveevich 1 Chernavskij, A. V. 1 Fomenko, Anatoliĭ Timofeevich 1 Fominykh, Evgeny Anatol’evich 1 Glutsyuk, Alexey A. 1 Kulipanov, Gennadiĭ Nikolaevich 1 Polthier, Konrad 1 Reshetnyak, Yuriĭ Grigor’evich 1 Smirnov, Sergei Valer’evich 1 Sosinskiĭ, Alekseĭ Bronislavovich 1 Turaev, Vladimir G. 1 Vasil’ev, Viktor Anatol’evich all top 5 Serials 16 Russian Mathematical Surveys 3 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 Functional Analysis and its Applications 2 Transactions of the Moscow Mathematical Society 2 St. Petersburg Mathematical Journal 2 Proceedings of the Steklov Institute of Mathematics 1 Mathematical Notes 1 Moscow University Mathematics Bulletin 1 Fundamenta Mathematicae 1 Geometriae Dedicata 1 Acta Applicandae Mathematicae 1 Algebra i Analiz 1 Journal of Knot Theory and its Ramifications 1 Journal of Mathematical Sciences (New York) 1 Sbornik: Mathematics 1 Journal of the European Mathematical Society (JEMS) 1 Moscow Mathematical Journal 1 Mathematical Surveys and Monographs 1 Panoramas et Synthèses 1 Journal of Modern Dynamics 1 Electronic Geometry Model all top 5 Fields 28 Manifolds and cell complexes (57-XX) 15 Dynamical systems and ergodic theory (37-XX) 9 Global analysis, analysis on manifolds (58-XX) 6 Group theory and generalizations (20-XX) 6 Optics, electromagnetic theory (78-XX) 4 Difference and functional equations (39-XX) 4 Quantum theory (81-XX) 3 Operator theory (47-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Measure and integration (28-XX) 2 Partial differential equations (35-XX) 2 Geometry (51-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 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 33 Publications have been cited 275 times in 192 Documents Cited by ▼ Year ▼ Ordering braids. Zbl 1163.20024Dehornoy, Patrick; Dynnikov, Ivan; Rolfsen, Dale; Wiest, Bert 50 2008 Arc-presentations of links: monotonic simplification. Zbl 1132.57006Dynnikov, I. A. 36 2006 Why are braids orderable? Zbl 1048.20021Dehornoy, 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 0928.35107Novikov, S. P.; Dynnikov, I. A. 22 1997 On the complexity of braids. Zbl 1187.20045Dynnikov, Ivan; Wiest, Bert 16 2007 Geometry of the triangle equation on two-manifolds. Zbl 1046.39016Dynnikov, I. A.; Novikov, S. P. 15 2003 Geometry of plane sections of the infinite regular skew polyhedron \(\{4, 6 | 4\}\). Zbl 1165.28006DeLeo, Roberto; Dynnikov, Ivan A. 12 2009 On a Yang-Baxter mapping and the Dehornoy ordering. Zbl 1067.20501Dynnikov, I. A. 11 2002 Semiclassical motion of the electron. A proof of the Novikov conjecture in general position and counterexamples. Zbl 0923.58043Dynnikov, I. A. 9 1997 Topology of quasiperiodic functions on the plane. Zbl 1148.37043Dynnikov, 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 0935.57040Dynnikov, I. A. 7 1999 Bypasses for rectangular diagrams. A proof of the Jones conjecture and related questions. Zbl 1307.57004Dynnikov, I. A.; Prasolov, M. V. 6 2013 Interval identification systems and plane sections of 3-periodic surfaces. Zbl 1231.37024Dynnikov, I. A. 6 2008 Proof of S. P. Novikov’s conjecture on the semiclassical motion of an electron. Zbl 0808.58014Dynnikov, I. A. 6 1993 Symmetric band complexes of thin type and chaotic sections which are not quite chaotic. Zbl 1335.57042Dynnikov, Ivan; Skripchenko, Alexandra 5 2015 Recognition algorithms in knot theory. Zbl 1063.57005Dynnikov, I. A. 5 2003 Integrable gradient flows and Morse theory. Zbl 0884.58022Veselov, 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 0778.58016Dynnikov, I. A. 5 1992 Three-page representation of links. Zbl 0932.57010Dynnikov, I. A. 4 1998 On typical leaves of a measured foliated 2-complex of thin type. Zbl 1360.57029Dynnikov, Ivan; Skripchenko, Alexandra 3 2014 A new way to represent links. One-dimensional formalism and untangling technology. Zbl 1006.57001Dynnikov, I. A. 3 2001 Three-page approach to knot theory. Universal semigroup. Zbl 0958.57006Dynnikov, I. A. 3 2000 Three-page approach to knot theory. Encoding and local moves. Zbl 0947.57005Dynnikov, I. A. 3 1999 An example of a fractal set of plane directions having chaotic intersections with a fixed 3-periodic surface. Zbl 1149.28301De Leo, R.; Dynnikov, I. A. 2 2007 Exactly solvable cyclic Darboux \(q\)-chains. Zbl 1046.37043Dynnikov, I. A.; Smirnov, S. V. 2 2002 Laplace transforms and simplicial connections. Zbl 0928.39009Dynnikov, I. A.; Novikov, S. P. 2 1997 On equivalence of Legendrian knots. Zbl 1428.53092Dynnikov, I. A.; Shastin, V. A. 1 2018 Rectangular diagrams of surfaces: representability. Zbl 1378.57005Dynnikov, Ivan A.; Prasolov, Maxim V. 1 2017 On a new discretization of complex analysis. Zbl 1353.39004Dynnikov, I. A. 1 2015 On independence of some pseudocharacters on braid groups. Zbl 1279.20045Dynnikov, I. A.; Shastin, V. A. 1 2013 A mathematical webservice for recognizing the unknot. Zbl 1011.68175Andreeva, M. V.; Dynnikov, I. A.; Polthier, K. 1 2002 Surfaces in 3-torus: Geometry of plane sections. Zbl 0953.57001Dynnikov, I. 1 1998 Intersections of level surfaces of pseudoperiodic functions. Zbl 0842.58017Dynnikov, I. A. 1 1994 On equivalence of Legendrian knots. Zbl 1428.53092Dynnikov, I. A.; Shastin, V. A. 1 2018 Rectangular diagrams of surfaces: representability. Zbl 1378.57005Dynnikov, Ivan A.; Prasolov, Maxim V. 1 2017 Symmetric band complexes of thin type and chaotic sections which are not quite chaotic. Zbl 1335.57042Dynnikov, Ivan; Skripchenko, Alexandra 5 2015 On a new discretization of complex analysis. Zbl 1353.39004Dynnikov, I. A. 1 2015 On typical leaves of a measured foliated 2-complex of thin type. Zbl 1360.57029Dynnikov, Ivan; Skripchenko, Alexandra 3 2014 Bypasses for rectangular diagrams. A proof of the Jones conjecture and related questions. Zbl 1307.57004Dynnikov, I. A.; Prasolov, M. V. 6 2013 On independence of some pseudocharacters on braid groups. Zbl 1279.20045Dynnikov, I. A.; Shastin, V. A. 1 2013 Geometry of plane sections of the infinite regular skew polyhedron \(\{4, 6 | 4\}\). Zbl 1165.28006DeLeo, Roberto; Dynnikov, Ivan A. 12 2009 Ordering braids. Zbl 1163.20024Dehornoy, Patrick; Dynnikov, Ivan; Rolfsen, Dale; Wiest, Bert 50 2008 Interval identification systems and plane sections of 3-periodic surfaces. Zbl 1231.37024Dynnikov, I. A. 6 2008 On the complexity of braids. Zbl 1187.20045Dynnikov, Ivan; Wiest, Bert 16 2007 An example of a fractal set of plane directions having chaotic intersections with a fixed 3-periodic surface. Zbl 1149.28301De Leo, R.; Dynnikov, I. A. 2 2007 Arc-presentations of links: monotonic simplification. Zbl 1132.57006Dynnikov, I. A. 36 2006 Topology of quasiperiodic functions on the plane. Zbl 1148.37043Dynnikov, I. A.; Novikov, S. P. 8 2005 Geometry of the triangle equation on two-manifolds. Zbl 1046.39016Dynnikov, I. A.; Novikov, S. P. 15 2003 Recognition algorithms in knot theory. Zbl 1063.57005Dynnikov, I. A. 5 2003 Why are braids orderable? Zbl 1048.20021Dehornoy, Patrick; Dynnikov, Ivan; Rolfsen, Dale; Wiest, Bert 22 2002 On a Yang-Baxter mapping and the Dehornoy ordering. Zbl 1067.20501Dynnikov, I. A. 11 2002 Exactly solvable cyclic Darboux \(q\)-chains. Zbl 1046.37043Dynnikov, I. A.; Smirnov, S. V. 2 2002 A mathematical webservice for recognizing the unknot. Zbl 1011.68175Andreeva, M. V.; Dynnikov, I. A.; Polthier, K. 1 2002 A new way to represent links. One-dimensional formalism and untangling technology. Zbl 1006.57001Dynnikov, I. A. 3 2001 Three-page approach to knot theory. Universal semigroup. Zbl 0958.57006Dynnikov, I. A. 3 2000 The geometry of the stability regions in Novikov’s problem on the semiclassical motion of an electron. Zbl 0935.57040Dynnikov, I. A. 7 1999 Three-page approach to knot theory. Encoding and local moves. Zbl 0947.57005Dynnikov, I. A. 3 1999 Three-page representation of links. Zbl 0932.57010Dynnikov, I. A. 4 1998 Surfaces in 3-torus: Geometry of plane sections. Zbl 0953.57001Dynnikov, I. 1 1998 Discrete spectral symmetries of low-dimensional differential operators and difference operators on regular lattices and two-dimensional manifolds. Zbl 0928.35107Novikov, S. P.; Dynnikov, I. A. 22 1997 Semiclassical motion of the electron. A proof of the Novikov conjecture in general position and counterexamples. Zbl 0923.58043Dynnikov, I. A. 9 1997 Laplace transforms and simplicial connections. Zbl 0928.39009Dynnikov, I. A.; Novikov, S. P. 2 1997 Integrable gradient flows and Morse theory. Zbl 0884.58022Veselov, A. P.; Dynnikov, I. A. 5 1996 Intersections of level surfaces of pseudoperiodic functions. Zbl 0842.58017Dynnikov, I. A. 1 1994 Proof of S. P. Novikov’s conjecture on the semiclassical motion of an electron. Zbl 0808.58014Dynnikov, I. A. 6 1993 Proof of S. P. Novikov’s conjecture for the case of small perturbations of rational magnetic fields. Zbl 0778.58016Dynnikov, I. A. 5 1992 all cited Publications top 5 cited Publications 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