4 papers · 1 filter
Anderson localization on quantum graphs coded by elements of a subshift of finite type
Oleg Safronov
We study Schrödinger operators on quantum graphs where the number of edges between points is determined by orbits of a "shift of finite type". We prove Anderson localization for th…
Spectral theory of Schrödinger operators with potentials that are measures supported on
Oleg Safronov
We discuss spectral properties of the one-dimensional Schrödinger operator with a potential of the form . Our main result says that the absolutely continuous spect…
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 . The numbers of the edges connecting two consecutive points and are…
Monotonicity of the set of zeros of the Lyapunov exponent with respect to shift embeddings
Oleg Safronov
We consider the discrete Schrödinger operators with potentials whose values are read along the orbits of a shift of finite type. We study a certain subset of the collection of ener…