46 citations · 85 across the 9 of their papers we have counts for
9 papers
Geometry of quasiperiodic functions on the plane
I. A. Dynnikov, A. Ya. Maltsev, S. P. Novikov
The present article proposes a review of the most recent results obtained in the study of Novikov's problem on the description of the geometry of the level lines of quasi-periodic…
Open level lines of a superposition of periodic potentials on a plane
A. Ya. Maltsev, S. P. Novikov
We consider here open level lines of potentials resulting from the superposition of two different periodic potentials on the plane. This problem can be considered as a particular c…
Discrete SL2 Connections and Self-Adjoint Difference Operators on the Triangulated 2-manifold
P. G. Grinevich, S. P. Novikov
Discretization Program of the famous Completely Integrable Systems and associated Linear Operators was developed in 1990s. In particular, specific properties of the second order di…
Singular Soliton Operators and Indefinite Metrics
P. G. Grinevich, S. P. Novikov
The singular real second order 1D Schrodinger operators are considered here with such potentials that all local solutions near singularities to the eigenvalue problem are meromorph…
Topology of quasiperiodic functions on the plane
I. Dynnikov, S. Novikov
The article describes a topological theory of quasiperiodic functions on the plane. The development of this theory was started (in different terminology) by the Moscow topology gro…
A Note on the Real Fermionic and Bosonic quadratic forms: Their Diagonalization and Topological Interpreation
Sergey P. Novikov
We explain in this note how real fermionic and bosonic quadratic forms can be effectively diagonalized. Nothing like that exists for the general complex hermitian forms. Looks like…