We study chaotic plane sections of some particular family of triply periodic surfaces. The
question about possible behavior of such sections was posed by SP Novikov. We prove …

This survey is devoted to questions connected with the Novikov problem of describing the
geometry of level curves of quasi-periodic functions on the plane with different numbers of …

In a recent paper we constructed a family of foliated 2-complexes of thin type whose typical
leaves have two topological ends. Here we present simpler examples of such complexes …

Статья включает обзор последних результатов, полученных при исследовании задачи
Новикова об описании геометрии линий уровня квазипериодических функций на …

We discuss here the electron dynamics in crystals in rather strong magnetic fields. The most
non-trivial part of this topic is the Novikov problem, namely, the problem of classifying non …

It is known that all but finitely many leaves of a measured foliated 2-complex of thin type are
quasi-isometric to an infinite tree with at most two topological ends. We show that if the …

We consider the Novikov problem, namely, the problem of describing the level lines of
quasiperiodic functions on the plane, for a special class of potentials that have important …

The paper is devoted to the Novikov problem of describing the geometry of level lines of
quasiperiodic functions on the plane. We consider here the most general case, when the …

The paper is devoted to the applications of the theory of dynamical systems to the theory of
transport phenomena in metals in the presence of strong magnetic fields. More precisely, we …

We consider the problem of exact experimental determination of the boundaries of Stability
Zones for magneto-conductivity in normal metals in the space of directions of magnetic field …