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Dynnikov Ivan Alekseevich
(recent publications)

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2025
1.	I. A. Dynnikov, M. M. Chernavskikh, “Rectangular Diagrams of Foliations”, Proc. Steklov Inst. Math., 330 (2025), 63–103

2024
2.	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.
3.	Ivan A. Dynnikov, Maxim V. Prasolov, “Rectangular Diagrams of Giroux Convex Surfaces”, Proc. Steklov Inst. Math., 325 (2024), 136–162

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	3 ^[x]
5.	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	2 ^[x]
6.	I.Dynnikov, M.Prasolov, An algorithm for comparing Legendrian knots, 2023, 26 pp., arXiv: 2309.05087

2022
7.	Ivan Dynnikov, “Counting intersections of normal curves”, J. Algebra, 607:Part B (2022), 181–231, arXiv: 2010.01638	2 ^[x]
8.	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	5 ^[x]
12.	Ivan Dynnikov, Vera Sokolova, “Multiflypes of rectangular diagrams of links”, J. Knot. Theor. Ramif., 30:6 (2021), 2150038, 15 pp., arXiv: 2009.02247	2 ^[x]
13.	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	4 ^[x]
16.	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, D. V. Millionshchikov, Mat. Pros., 23, MCCME, Moscow, 2019, 7–19
18.	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
19.	I. A. Dynnikov, “Transverse-Legendrian links”, Siberian Electronic Mathematicsl Reports, 16 (2019), 1960–1980, arXiv: 1911.11806	2 ^[x]
20.	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
21.	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	1 ^[x]

2018
22.	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.
23.	I. A. Dynnikov, “Bounded discrete holomorphic functions on the hyperbolic plane”, Proc. Steklov Inst. Math., 302 (2018), 186–197
24.	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
25.	I. A. Dynnikov, V. A. Shastin, “On equivalence of Legendrian knots”, Russian Math. Surveys, 73:6 (2018), 1125–1127
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	4 ^[x]
28.	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	1 ^[x]

2015
31.	Trans. Moscow Math. Soc., 76:2 (2015), 251–269
32.	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

Full list of publications