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math.SP2018★ 1 cited
Invariants of magnetic Laplacians on periodic graphs
Evgeny Korotyaev, Natalia Saburova
We consider a magnetic Laplacian with periodic magnetic potentials on periodic discrete graphs. Its spectrum consists of a finite number of bands, where degenerate bands are eigenv…
math.SP2018
Invariants for Laplacians on periodic graphs
E. Korotyaev, N. Saburova
We consider a Laplacian on periodic discrete graphs. Its spectrum consists of a finite number of bands. In a class of periodic 1-forms, i.e., functions defined on edges of the peri…