4 citations · 5 across the 3 of their papers we have counts for
6 papers
Topology, Quasiperiodic functions and the Transport phenomena
A. Ya. Maltsev, S. P. Novikov
In this article we give the basic concept of the "Topological Numbers" in theory of quasiperiodic functions. The main attention is paid to apperance of such values in transport phe…
Dynamical Systems, Topology and Conductivity in Normal Metals
A. Ya. Maltsev, S. P. Novikov
New observable integer-valued numbers of the topological origin were revealed by the present authors studying the conductivity theory of single crystal 3D normal metals in the reas…
Discrete connections on the triangulated manifolds and difference linear equations
S. P. Novikov
Following the previous authors works (joint with I.A.Dynnikov) we develop a theory of the discrete analogs of the differential-geometrical (DG) connections in the triangulated mani…
Quasiperiodic functions and Dynamical Systems in Quantum Solid State Physics
A. Ya. Maltsev, S. P. Novikov
This is a survey article dedicated to the study of topological quantities in theory of normal metals discovered in the works of the authors during the last years. Our results are b…
Topological Charge of the real periodic finite-gap Sine-Gordon solutions
P. G. Grinevich, S. P. Novikov
An effective description of the inverse spectral data corresponding to the real periodic and quasiperiodic solutions for the sine-gordon equation is obtained. In particular, the ex…
Discrete Lagrangian Systems on Graphs. Symplecto-Topological Properties
S. P. Novikov, A. S. Schwarz
Discrete Lagrangian Systems on graphs are considered. Vector-valued closed differential 2-form on the space of solutions is constructed. This form takes values in the first homolog…