I. Dynnikov

发表

On the complexity of braids

I. Dynnikov, B. Wiest, 2004, math/0403177.

Arc-presentations of links. Monotonic simplification

Ivan Dynnikov, I. Dynnikov, 2002 .

Integrable Gradient Flows and Morse Theory

A. Veselov, I. Dynnikov, 1995, dg-ga/9506004.

Symmetric band complexes of thin type and chaotic sections which are not quite chaotic

I. Dynnikov, A. Skripchenko, 2015, 1501.06866.

Geometry of plane sections of the infinite regular skew polyhedron {4, 6 | 4}

I. Dynnikov, Rob A. DeLeo, Rob A DeLeo, 2008, 0804.1668.

COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: An example of a fractal set of plane directions having chaotic intersections with a fixed 3-periodic surface

I. Dynnikov, R. Leo, 2007 .

On the complexity of braids

I. Dynnikov, B. Wiest, 2004, math/0403177.

Dynamical Systems Around the Rauzy Gasket and Their Ergodic Properties

I. Dynnikov, P. Hubert, A. Skripchenko, 2020, International Mathematics Research Notices.

Counting intersections of normal curves

I. Dynnikov, 2020, Journal of Algebra.

The Alexander polynomial in several variables can be expressed in terms of the Vassiliev invariants

I. Dynnikov, 1997 .

A linear ordering of braids

I. Dynnikov, B. Wiest, D. Rolfsen, 2008 .

Multiflypes of rectangular diagrams of links

I. Dynnikov, V. Sokolova, 2020, 2009.02247.

Discrete spectral symmetries of low-dimensional differential operators and difference operators on regular lattices and two-dimensional manifolds

S. Novikov, I. Dynnikov, 1997, math-ph/0003009.

Arc-presentations of links. Monotonic simplification

I. Dynnikov, 2002, math/0208153.

Theory of Dynamical Systems and Transport Phenomena in Normal Metals

I. Dynnikov, S. Novikov, A. Maltsev, 2019, Journal of Experimental and Theoretical Physics.

Geometry of the triangle equation on two-manifolds

S. P. Novikov, Ivan Dynnikov, S. Novikov, 2002 .

Features of the Motion of Ultracold Atoms in Quasiperiodic Potentials

Ivan Dynnikov, Andrei Maltsev, I. Dynnikov, 2021, Journal of Experimental and Theoretical Physics.

Topology of quasi-periodic functions on the plane

I. Dynnikov, S. Novikov, 2004 .

Distinguishing Legendrian knots with trivial orientation-preserving symmetry group

I. Dynnikov, V. Shastin, 2018, 1810.06460.

LAPLACE TRANSFORMS AND SIMPLICIAL CONNECTIONS

S. Novikov, I. Dynnikov, 1997 .

Counting intersections of normal curves

Ivan Dynnikov, I. Dynnikov, 2020, Journal of Algebra.

Interval identification systems and plane sections of 3-periodic surfaces

I. Dynnikov, 2008 .

Recognition algorithms in knot theory

Ivan Dynnikov, I. Dynnikov, 2003 .

The geometry of stability regions in Novikov's problem on the semiclassical motion of an electron

I. Dynnikov, 1999 .

Proof of S. P. Novikov's conjecture on the semiclassical motion of an electron

I. Dynnikov, 1993 .

Surfaces in 3-Torus: Geometry of Plane Sections

I. Dynnikov, 1998 .

Geometry of quasiperiodic functions on the plane

I. Dynnikov, S. Novikov, A. Maltsev, 2023, 2306.11257.

Chaotic Trajectories on Fermi Surfaces and Nontrivial Modes of Behavior of Magnetic Conductivity

S. Novikov, I. Dynnikov, A. Maltsev, 2022, Journal of Experimental and Theoretical Physics.

Integrable Gradient Flows and Morse Theory

A. Veselov, I. Dynnikov, 1995, dg-ga/9506004.

On independence of some pseudocharacters on braid groups

I. Dynnikov, V. Shastin, 2013 .

On a Yang-Baxter map and the Dehornoy ordering

Ivan Dynnikov, I. Dynnikov, 2002 .

Distinguishing Legendrian knots with trivial orientation-preserving symmetry group

I. Dynnikov, V. Shastin, 2018, Algebraic & Geometric Topology.

Three-page approach to knot theory. Encoding and local moves

I. Dynnikov, 1999 .

Three-page approach to knot theory. Universal semigroup

I. A. Dynnikov, I. Dynnikov, 2000 .

Three-page representation of links

Ivan Dynnikov, I. Dynnikov, 1998 .

Bypasses for rectangular diagrams. Proof of Jones' conjecture and related questions

I. Dynnikov, M. Prasolov, 2012, 1206.0898.

Why are braids orderable

Patrick Dehornoy, Dale Rolfsen, Bert Wiest, 2002 .

Classification of Legendrian knots of topological type 76 with maximal Thurston–Bennequin number

I. Dynnikov, M. Prasolov, 2019, 1901.03600.

Rectangular diagrams of surfaces: distinguishing Legendrian knots

Ivan Dynnikov, Maxim Prasolov, I. Dynnikov, 2017, Journal of Topology.

Transverse-Legendrian links

I. Dynnikov, 2019, Sibirskie Elektronnye Matematicheskie Izvestiya.

On equivalence of Legendrian knots

I. Dynnikov, V. Shastin, 2018, Russian Mathematical Surveys.

Rectangular diagrams of surfaces: representability

I. Dynnikov, M. Prasolov, 2016, 1606.03497.

A MATHEMATICAL WEBSERVICE FOR RECOGNIZING THE UNKNOT

Konrad Polthier, M. V. Andreeva, I. A. Dynnikov, 2002 .

A New Way to Represent Links. One-Dimensional Formalism and Untangling Technology

Ivan Dynnikov, I. Dynnikov, 2001 .

Minimality of interval exchange transformations with restrictions

I. Dynnikov, A. Skripchenko, 2015, 1510.03707.

COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: The Alexander polynomial in several variables can be expressed in terms of the Vassiliev invariants

I. Dynnikov, 1997 .