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math.SP2003
Kato's inequality and asymptotic spectral properties for discrete magnetic Laplacians
Jozef Dodziuk, Varghese Mathai
In this paper, a discrete form of the Kato inequality for discrete magnetic Laplacians on graphs is used to study asymptotic properties of the spectrum of discrete magnetic Schrodi…
math.SP2003
Arithmetic properties of eigenvalues of generalized Harper operators on graphs
J. Dodziuk, V. Mathai, S. Yates
Let $\Qbar$ denote the field of complex algebraic numbers. A discrete group is said to have the -multiplier algebraic eigenvalue property, if for every matrix with entri…