52 citations · 97 across the 13 of their papers we have counts for
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Green matrix estimates of block Jacobi matrices II: Bounded gap in the essential spectrum
Jan Janas, Sergey Naboko, Luis O. Silva
This paper provides decay bounds for Green matrices and generalized eigenvectors of block Jacobi operators when the real part of the spectral parameter lies in a bounded gap of the…
Unified approach to critical-contrast homogenisation with explicit links to time-dispersive media
Kirill Cherednichenko, Yulia Ershova, Alexander Kiselev +1
A novel approach to critical-contrast homogenisation is proposed. Norm-resolvent asymptotics are explicitly constructed. An essential feature of our approach is that it relates hom…
Green matrix estimates of block Jacobi matrices I: Unbounded gap in the essential spectrum
Jan Janas, Sergey Naboko, Luis O. Silva
This work deals with decay bounds for Green matrices and generalized eigenvectors of block Jacobi matrices when the real part of the spectral parameter lies in an infinite gap of t…
On the instability of the essential spectrum for block Jacobi matrices
Stanislas Kupin, Sergey Naboko
We are interested in the phenomenon of the essential spectrum instability for a class of unbounded (block) Jacobi matrices. We give a series of sufficient conditions for the matric…
Simplicity of eigenvalues in Anderson-type models
Sergey Naboko, Roger Nichols, Günter Stolz
We show almost sure simplicity of eigenvalues for several models of Anderson-type random Schrödinger operators, extending methods introduced by Simon for the discrete Anderson mode…
Fractional Moment Methods for Anderson Localization in the Continuum
Michael Aizenman, Alexander Elgart, Sergey Naboko +2
The fractional moment method, which was initially developed in the discrete context for the analysis of the localization properties of lattice random operators, is extended to appl…