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Dynnikov Ivan Alekseevich
(recent publications)

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scientific publications

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2021
1.	Ivan Dynnikov, Maxim Prasolov, “Rectangular diagrams of surfaces: distinguishing Legendrian knots”, J. Topol., 14:3 (2021), 701–860 , arXiv: 1712.06366 ;
2.	Ivan Dynnikov, Vera Sokolova, “Multiflypes of rectangular diagrams of links”, J. Knot. Theor. Ramif., 30:6 (2021), 2150038 , 15 pp., arXiv: 2009.02247 ;
3.	I.Dynnikov, V.Shastin, “Distinguishing Legendrian knots with trivial orientation-preserving symmetry group”, Algebraic and Geometric Topology, 2021 (to appear) , arXiv: 1810.06460
4.	Ivan Dynnikov, “Counting intersections of normal curves”, J. Algebra, 2021, 1–51 (Published online) , arXiv: 2010.01638 ; (Published online)

2020
5.	Ivan Dynnikov, Pascal Hubert, Alexandra Skripchenko, Dynamical systems around the Rauzy gasket and their ergodic properties, 2020 , 30 pp., arXiv: 2011.15043
6.	Ivan Dynnikov, Maxim Prasolov, “Rectangular diagrams of surfaces: the basic moves”, Proc. Int. Geom. Cent., 13:4 (2020), 50–88 , arXiv: 2011.04995 ;
7.	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
8.	I. A. Dynnikov, D. V. Millionshchikov, Mat. Pros., 23, MCCME, Moscow, 2019, 7–19
9.	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
10.	I. A. Dynnikov, “Transverse-Legendrian links”, Siberian Electronic Mathematicsl Reports, 16 (2019), 1960–1980 , arXiv: 1911.11806
11.	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 (cited: 1) (cited: 1)
12.	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

2018
13.	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.
14.	I. A. Dynnikov, “Bounded discrete holomorphic functions on the hyperbolic plane”, Proc. Steklov Inst. Math., 302 (2018), 186–197
15.	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
16.	I. A. Dynnikov, V. A. Shastin, “On equivalence of Legendrian knots”, Russian Math. Surveys, 73:6 (2018), 1125–1127
17.	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
18.	Ivan Dynnikov, Alexandra Skripchenko, “Minimality of interval exchange transformations with restrictions”, J. Mod. Dyn., 11 (2017), 219–248 , arXiv: 1510.03707 (cited: 1) (cited: 1)
19.	I. A. Dynnikov, M. V. Prasolov, “Rectangular diagrams of surfaces: representability”, Sb. Math., 208:6 (2017), 791–841 (cited: 2) (cited: 1)
20.	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
21.	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 (cited: 1)

2015
22.	Trans. Moscow Math. Soc., 76:2 (2015), 251–269 (cited: 8)
23.	I. A. Dynnikov, “On a new discretization of complex analysis”, Russian Math. Surveys, 70:6 (2015), 1031–1050 (cited: 2) (cited: 2)

2014
24.	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
25.	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 (cited: 19)
26.	I. A. Dynnikov, V. A. Shastin, “On independence of some pseudocharacters on braid groups”, St. Petersburg Math. J., 24:6 (2013), 863–876 (cited: 1) (cited: 1)

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