Oleg Safronov

collaborators

3 papers

math-ph2025

Spectral theory of Schrödinger operators with potentials that are measures supported on $N$

Oleg Safronov

We discuss spectral properties of the one-dimensional Schrödinger operator with a potential of the form $\sum V (n) δ (x - n)$ . Our main result says that the absolutely continuous spect…

math.SP2025

Discrete Spectrum of the Bilayer Graphene Operator

Siyu Gao, Oleg Safronov

We consider the graphene operator $D_{m}$ perturbed by a decaying potential $α V$ , where $α$ is a coupling constant. We study the number $N (λ, α)$ of eigenvalues of the operator $D(t)=…

math-ph2025

Lyapunov exponent for quantum graphs that are elements of a subshift of finite type

Oleg Safronov

We consider the Schrödinger operator on the quantum graph whose edges connect the points of $Z$ . The numbers of the edges connecting two consecutive points $n$ and $n + 1$ are…

Spectral theory of Schrödinger operators with potentials that are measures supported on N

Discrete Spectrum of the Bilayer Graphene Operator

Lyapunov exponent for quantum graphs that are elements of a subshift of finite type

Spectral theory of Schrödinger operators with potentials that are measures supported on $N$