Topological integrability, classical and quantum chaos, and the theory of dynamical systems in the physics of condensed matter
Abstract
This survey is devoted to questions connected with the Novikov problem of describing the geometry of level curves of quasiperiodic functions on the plane with different numbers of quasiperiods. Considered here are the history of the question, the current state of research in this field, and a number of applications of this problem to various physical problems. The main focus is on applications of results obtained in this area to the theory of transport phenomena in electron systems.
 Publication:

Russian Mathematical Surveys
 Pub Date:
 February 2019
 DOI:
 10.1070/RM9859
 arXiv:
 arXiv:1811.08160
 Bibcode:
 2019RuMaS..74..141M
 Keywords:

 37N20;
 37E99;
 Mathematical Physics
 EPrint:
 39 pages, 17 figures, Latex