P. Dehornoy, I. Dynnikov, D. Rolfsen, B. Wiest, Ordering braids, Mathematical Surveys and Monographs, 148, American Mathematical Society, Providence, RI, 2008, x+323 pp.
I. Dynnikov, “Arc-presentations of links: monotonic simplification”, Fund. Math., 190 (2006), 29–76
I. A. Dynnikov, “Konechno opredelennye gruppy i polugruppy v teorii uzlov”, Trudy MIAN, 231, 2000, 231–248
I. A. Dynnikov, “Geometriya zon ustoichivosti v zadache S. P. Novikova o poluklassicheskom dvizhenii elektrona”, Uspekhi matematicheskikh nauk, 54:1 (1999), 21–60
S. P. Novikov, I. A. Dynnikov, “Diskretnye spektralnye simmetrii malomernykh differentsialnykh operatorov i raznostnykh operatorov na pravilnykh reshetkakh i dvumernykh mnogoobraziyakh”, UMN, 52:5 (1997), 175–234
I. A. Dynnikov, M. M. Chernavskikh, “Rectangular diagrams of foliations”, Contemporary Mathematics and Its Applications: Proceedings of Sino–Russian Mathematical Meetings, Collected papers, Trudy Mat. Inst. Steklova, 330, Steklov Math. Inst., Moscow, 2025
2024
2.
Ivan A. Dynnikov, Maxim V. Prasolov, “Rectangular Diagrams of Giroux Convex Surfaces”, Proc. Steklov Inst. Math., 325 (2024), 136–162
3.
Geometriya, topologiya, matematicheskaya fizika, Sbornik statei. K 85-letiyu akademika Sergeya Petrovicha Novikova, Trudy MIAN, 325, ed. V. M. Bukhshtaber, P. G. Grinevich, I. A. Dynnikov, O. K. Sheinman, MIAN, M., 2024 , 333 pp.
2023
4.
Ivan Dynnikov, Vladimir Shastin, “Distinguishing Legendrian knots with trivial orientation-preserving symmetry group”, Algebr. Geom. Topol., 23:4 (2023), 1849–1889 , arXiv: 1810.06460
Ivan Dynnikov, Pascal Hubert, Alexandra Skripchenko, “Dynamical Systems Around the Rauzy Gasket and Their Ergodic Properties”, Int. Math. Res. Not. IMRN, 2023:8 (2023), 6461–6503 , arXiv: 2011.15043
I. A. Dynnikov, A. Ya. Mal'tsev, S. P. Novikov, “Chaotic trajectories on fermi surfaces and nontrivial modes of behavior of magnetic conductivity”, J. Exp. Theor. Phys., 135 (2022), 240–254
9.
I. A. Dynnikov, A. Ya. Mal'tsev, S. P. Novikov, “Geometry of quasiperiodic functions on the plane”, Russian Math. Surveys, 77:6 (2022), 1061–1085
10.
A. V. Bolsinov, V. M. Buchstaber, A. P. Veselov, P. G. Grinevich, I. A. Dynnikov, V. V. Kozlov, Yu. A. Kordyukov, D. V. Millionshchikov, A. E. Mironov, R. G. Novikov, S. P. Novikov, A. A. Yakovlev, “Iskander Asanovich Taimanov (on his 60th birthday)”, Russian Math. Surveys, 77:6 (2022), 1159–1168
2021
11.
Ivan Dynnikov, Maxim Prasolov, “Rectangular diagrams of surfaces: distinguishing Legendrian knots”, J. Topol., 14:3 (2021), 701–860 , arXiv: 1712.06366
I. A. Dynnikov, A. Ya. Mal'tsev, “Features of the Motion of Ultracold Atoms in Quasiperiodic Potentials”, J. Exp. Theor. Phys., 133:6 (2021), 711–736
14.
I. A. Dynnikov, A. E. Mironov, I. A. Taimanov, V. A. Timorin, A. Yu. Vesnin, “The Conference "Dynamics in Siberia", Novosibirsk, March 1 – 6, 2021”, Sib. elektron. matem. izv., 18:2 (2021), 44–89
2020
15.
Ivan Dynnikov, Maxim Prasolov, “Rectangular diagrams of surfaces: the basic moves”, Proc. Int. Geom. Cent., 13:4 (2020), 50–88 , arXiv: 2011.04995
A. V. Borisov, I. A. Dynnikov, A. A. Glutsyuk, A. E. Mironov, I. A. Taimanov, A. Yu. Vesnin, “The conference “Dynamics in Siberia”, Novosibirsk, February 24–29, 2020”, Sib. elektron. matem. izv., 17 (2020), 68–96
2019
17.
I. A. Dynnikov, “Transverse-Legendrian links”, Siberian Electronic Mathematicsl Reports, 16 (2019), 1960–1980 , arXiv: 1911.11806
S. P. Novikov, R. De Leo, I. A. Dynnikov, A. Ya. Mal'tsev, “Theory of Dynamical Systems and Transport Phenomena in Normal Metals”, J. Exp. Theor. Phys., 129:4 (2019), 710–721
19.
Ivan Dynnikov, Maxim Prasolov, “Classification of Legendrian Knots of Topological Type $7_6$ with Maximal Thurston–Bennequin Number”, J. Knot. Theor. Ramif., 28:14 (2019), 1950089 , 13 pp., arXiv: 1901.03600
I. A. Dynnikov, D. V. Millionshchikov, Mat. Pros., 23, MCCME, Moscow, 2019, 7–19
21.
I. A. Dynnikov, A. A. Glutsyuk, A. E. Mironov, I. A. Taimanov, A. Yu. Vesnin, “The Conference “Dynamics in Siberia”, Novosibirsk, February 25 – March 2, 2019”, Sib. elektron. matem. izv., 16 (2019), 16–39
2018
22.
I. A. Dynnikov, “Bounded discrete holomorphic functions on the hyperbolic plane”, Proc. Steklov Inst. Math., 302 (2018), 186–197
23.
I. A. Dynnikov, V. A. Shastin, “On equivalence of Legendrian knots”, Russian Math. Surveys, 73:6 (2018), 1125–1127
24.
Topologiya i fizika, Sbornik statei. K 80-letiyu so dnya rozhdeniya akademika Sergeya Petrovicha Novikova, Trudy MIAN, 302, ed. V. M. Bukhshtaber, I. A. Dynnikov, O. K. Sheinman, MAIK «Nauka/Interperiodika», M., 2018 , 399 pp.
25.
V. M. Buchstaber, V. A. Vassiliev, A. Yu. Vesnin, I. A. Dynnikov, Yu. G. Reshetnyak, A. B. Sossinsky, I. A. Taimanov, V. G. Turaev, A. T. Fomenko, E. A. Fominykh, A. V. Chernavsky, “Sergei Vladimirovich Matveev (on his 70th birthday)”, Russian Math. Surveys, 73:4 (2018), 737–746
26.
I. A. Dynnikov, A. A. Glutsyuk, G. N. Kulipanov, A. E. Mironov, I. A. Taimanov, A. Yu. Vesnin, “The Conference «Dynamics in Siberia» dedicated to the 90th anniversary of B. V. Chirikov, Novosibirsk, February 26–March 4, 2018”, Sib. elektron. matem. izv., 15 (2018), 10–38
2017
27.
Ivan Dynnikov, Alexandra Skripchenko, “Minimality of interval exchange transformations with restrictions”, J. Mod. Dyn., 11 (2017), 219–248 , arXiv: 1510.03707
I. A. Dynnikov, M. V. Prasolov, “Rectangular diagrams of surfaces: representability”, Sb. Math., 208:6 (2017), 791–841
29.
I. A. Dynnikov, A. A. Glutsyuk, A. E. Mironov, I. A. Taimanov, A. Yu. Vesnin, “The conference “Dynamics in Siberia”, Novosibirsk, February 26–March 4, 2017”, Sib. elektron. matem. izv., 14 (2017), 7–30
2016
30.
I. A. Dynnikov, A. E. Mironov, I. A. Taimanov, A. Yu. Vesnin, “The Conference «Dynamics in Siberia», Novosibirsk, February 29–March 4, 2016”, Sib. elektron. matem. izv., 13 (2016), 1–41
I. A. Dynnikov, “On a new discretization of complex analysis”, Russian Math. Surveys, 70:6 (2015), 1031–1050
2014
33.
I. Dynnikov, A. Skripchenko, “On typical leaves of a measured foliated 2-complex of thin type”, Topology, Geometry, Integrable Systems, and Mathematical Physics: Novikov's Seminar 2012–2014, Advances in the Mathematical Sciences, Amer. Math. Soc. Transl. Ser. 2, 234, eds. V. M. Buchstaber, B. A. Dubrovin, I. M. Krichever, Amer. Math. Soc., Providence, RI, 2014, 173–200 , arXiv: 1309.4884
2013
34.
I. A. Dynnikov, M. V. Prasolov, “Bypasses for rectangular diagrams. A proof of the Jones conjecture and related questions”, Trans. Moscow Math. Soc., 2013 (2013), 97–144
35.
I. A. Dynnikov, V. A. Shastin, “On independence of some pseudocharacters on braid groups”, St. Petersburg Math. J., 24:6 (2013), 863–876
2009
36.
R. DeLeo, I. A. Dynnikov, “Geometry of plane sections of the infinite regular skew polyhedron $\{4,6\mid 4\}$”, Geom. Dedicata, 138:1 (2009), 51–67
R. De Leo, I. A. Dynnikov, “An example of a fractal set of plane directions having chaotic intersections with a fixed 3-periodic surface”, Russian Math. Surveys, 62:5 (2007), 990–992
40.
I. Dynnikov, B. Wiest, “On the complexity of braids”, J. Eur. Math. Soc. (JEMS), 9:4 (2007), 801–840
I. A. Dynnikov, “Recognition algorithms in knot theory”, Russian Math. Surveys, 58:6 (2003), 1093–1139
2002
46.
I. A. Dynnikov, S. V. Smirnov, “Exactly soluble cyclic Darboux $q$-chains”, Russian Math. Surveys, 57:6 (2002), 1218–1219
47.
I. A. Dynnikov, “On a Yang–Baxter map and the Dehornoy ordering”, Russian Math. Surveys, 57:3 (2002), 592–594
48.
P. Dehornoy, I. Dynnikov, D. Rolfsen, B. Wiest, Why are braids orderable?, Panor. Syntheses, 14, Société Mathématique de France, Paris, 2002 , xiv+190 pp.
2001
49.
I. A. Dynnikov, “A new way to represent links, one-dimensional formalism and untangling technology”, Acta Appl. Math., 69:3 (2001), 243–283
I. A. Dynnikov, “Three-Page Approach to Knot Theory. Universal Semigroup”, Funct. Anal. Appl., 34:1 (2000), 24–32
51.
I. A. Dynnikov, “Finitely Presented Groups and Semigroups in Knot Theory”, Proc. Steklov Inst. Math., 231 (2000), 220–237
1999
52.
I. A. Dynnikov, “Three-Page Approach to Knot Theory. Encoding and Local Moves”, Funct. Anal. Appl., 33:4 (1999), 260–269
53.
I. A. Dynnikov, “The geometry of stability regions in Novikov's problem on the semiclassical motion of an electron”, Russian Math. Surveys, 54:1 (1999), 21–59
1998
54.
I. A. Dynnikov, “Three-page representation of links”, Russian Math. Surveys, 53:5 (1998), 1091–1092
55.
I. Dynnikov, “Surfaces in 3-torus: geometry of plane sections”, European Congress of Mathematics, Vol. I (Budapest, 1996), Progr. Math., 168, Birkhäuser, Basel, 1998, 162–177
I. A. Dynnikov, S. P. Novikov, “Laplace transforms and simplicial connections”, Russian Math. Surveys, 52:6 (1997), 1294–1295
57.
S. P. Novikov, I. A. Dynnikov, “Discrete spectral symmetries of low-dimensional differential operators and difference operators on regular lattices and two-dimensional manifolds”, Russian Math. Surveys, 52:5 (1997), 1057–1116
58.
I. A. Dynnikov, “The Alexander polynomial in several variables can be expressed in terms of the Vassiliev invariants”, Russian Math. Surveys, 52:1 (1997), 219–221
59.
I. A. Dynnikov, “Semiclassical motion of the electron. A proof of the Novikov conjecture in general position and counterexamples”, Solitons, geometry, and topology: on the crossroad, Amer. Math. Soc. Transl. Ser. 2, 179, Amer. Math. Soc., Providence, RI, 1997, 45–73
60.
A. P. Veselov, I. A. Dynnikov, “Integrable gradient flows and Morse theory”, St. Petersburg Math. J., 8:3 (1997), 429–446
1999
61.
I. A. Dynnikov, “Semiclassical electron motion and Novikov's conjecture”, J. Math. Sci. (New York), 94:4 (1999), 1589–1592
1994
62.
I. A. Dynnikov, “Intersections of level surfaces of pseudoperiodic functions”, Russian Math. Surveys, 49:1 (1994), 229–230
1993
63.
I. A. Dynnikov, “Proof of S. P. Novikov's conjecture on the semiclassical motion of an electron”, Math. Notes, 53:5 (1993), 495–501
64.
I. A. Dynnikov, “S. P. Novikov's problem on the semiclassical motion of an electron”, Russian Math. Surveys, 48:2 (1993), 173–174
1992
65.
I. A. Dynnikov, “Proof of S. P. Novikov's conjecture for the case of small perturbations of rational magnetic fields”, Russian Math. Surveys, 47:3 (1992), 172–173
66.
I. A. Dynnikov, “Homotopic classification of spherical spatial forms”, Moscow Univ. Math. Bull., 47:5 (1992), 1–6
Тропикализуемое обобщение формулы Птолемея I. A. Dynnikov Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) September 16, 2025 18:30
The Novikov gasket I. A. Dynnikov Conference “Geometry, Topology and Mathematical Physics” dedicated to the memory of Sergey Petrovich Novikov June 4, 2025 15:00
Сравнение лежандровых узлов I. A. Dynnikov Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2021 November 24, 2021 15:00
41.
Слова Арну–Рози. Лекция И. А. Дынников Summer School "Contemporary Mathematics" Named After Vitaly Arnold, 2021 July 21, 2021 15:30
Выпуклые поверхности в смысле Жиру и зеркальные диаграммы I. A. Dynnikov Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) November 8, 2017 18:30
Гомологии Хованова II I. A. Dynnikov Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) January 12, 2011 14:00
110.
Гомологии Хованова I I. A. Dynnikov Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) January 8, 2011 12:00
Discretization of complex analysis S. P. Novikov, I. A. Dynnikov International Conference "Differential Equations and Topology" dedicated to the Centennial Anniversary of L. S. Pontryagin June 22, 2008 12:20
Топология квазипериодических функций I. A. Dynnikov Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) November 3, 2004
Geometry, Topology, and Mathematical Physics, Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 85th birthday, Trudy Mat. Inst. Steklova, 325, ed. V. M. Buchstaber, P. G. Grinevich, I. A. Dynnikov, O. K. Sheinman, 2024, 333 с. http://mi.mathnet.ru/book1987
Topology and physics, Collected papers. Dedicated to Academician Sergei Petrovich Novikov on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 302, ed. V. M. Buchstaber, I. A. Dynnikov, O. K. Sheinman, 2018, 399 с. http://mi.mathnet.ru/book1715