116 citations · 131 across the 5 of their papers we have counts for
5 papers
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…
Approximating Spectral invariants of Harper operators on graphs II
Varghese Mathai, Thomas Schick, Stuart 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. The spectral density f…
Approximating L2-invariants, and the Atiyah conjecture
Jozef Dodziuk, Peter Linnell, Varghese Mathai +2
Let G be a torsion free discrete group and let \bar{Q} denote the field of algebraic numbers in C. We prove that \bar{Q}[G] fulfills the Atiyah conjecture if G lies in a certain cl…
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…
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…