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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…