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math.SP2017★ 13 cited
Spectral estimates for Schrödinger operators on periodic discrete graphs
E. Korotyaev, N. Saburova
We consider normalized Laplacians and their perturbations by periodic potentials (Schrödinger operators) on periodic discrete graphs. The spectrum of the operators consists of an a…
math.SP2017
Laplacians on periodic graphs with guides
Evgeny Korotyaev, Natalia Saburova
We consider Laplace operators on periodic discrete graphs perturbed by guides, i.e., graphs which are periodic in some directions and finite in other ones. The spectrum of the Lapl…