3 papers
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…
math.DG2000
Approximating torsion on amenable covering spaces
Jozef Dodziuk, Varghese Mathai, Stuart Yates
It was pointed out to us that the proof of a crucial lemma (Lemma 5.3) in the paper is incorrect. Thus the approximation theorem (Theorem 0.1) for L^2 torsion of an amenable coveri…
math.FA2000
Approximating Spectral invariants of Harper operators on graphs
V. Mathai, S. Yates
We study Harper operators and the closely related discrete magnetic Laplacians (DML) on a graph with a free action of a discrete group, as defined by Sunada. A main result in this…