25 citations · 42 across the 4 of their papers we have counts for
3 papers
math.SP2012
Zeroes of the spectral density of discrete Schroedinger operator with Wigner-von Neumann potential
Sergey Simonov
We consider a discrete Schroedinger operator whose potential is the sum of a Wigner-von Neumann term and a summable term. The essential spectrum of this operator equals to the inte…
math.SP2010★ 15 cited
An example of spectral phase transition phenomenon in a class of Jacobi matrices with periodically modulated weights
Sergey Simonov
We consider self-adjoint unbounded Jacobi matrices with diagonal q_n=n and weights λ_n=c_n n, where c_n is a 2-periodical sequence of real numbers. The parameter space is decompose…
math.SP2010★ 25 cited
Spectral analysis of a class of hermitian Jacobi matrices in a critical (double root) hyperbolic case
Serguei Naboko, Sergey Simonov
We consider a class of Jacobi matrices with periodically modulated diagonal in a critical hyperbolic ("double root") situation. For the model with "non-smooth" matrix entries we ob…