2 papers
math.DS2024
Deterministic diffusion in dynamical systems with a tiled phase space
Irina Nizhnik
The existence of normal deterministic diffusion in dynamical systems with a two-dimensional phase space tiled by regular triangles (or their unions into regular hexagons) is proven…
math.FA2023
Spectral analysis of self-adjoint first order differential operators with nonlocal potentials
Kamila Dębowska, Irina L. Nizhnik
The paper considers the general form of self-adjoint boundary value problems for momentum operators with nonlocal potentials. We give an analysis of the eigenvalue distribution as…