52 citations · 97 across the 13 of their papers we have counts for
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Embedded eigenvalues for perturbed periodic Jacobi operators using a geometric approach
Edmund Judge, Sergey Naboko, Ian Wood
We consider the problem of embedding eigenvalues into the essential spectrum of periodic Jacobi operators, using an oscillating, decreasing potential. To do this we employ a geomet…
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…