3 papers
nlin.SI2025
Two-Dimensional Finite-Gap Schrodinger Operators as Limits of Two-Dimensional Integrable Difference Operators
P. A. Leonchik, G. S. Mauleshova, A. E. Mironov
In this paper we study two-dimensional discrete operators whose eigenfunctions at zero energy level are given by rational functions on spectral curves. We extend discrete operators…
math.DS2025
Integrable Billiards and Related Topics
Misha Bialy, Andrey E. Mironov
This paper surveys our results on integrable billiards. We consider various models of billiards, including Birkhoff, outer, magnetic, and Minkowski billiards. Also, we discuss wire…
nlin.SI2025
Two-dimensional discrete operators and rational functions on algebraic curves
Polina A. Leonchik, Andrey E. Mironov
In this paper we study a connection between finite-gap on one energy level two-dimensional Schrodinger operators and two-dimensional discrete operators. We find spectral data for a…