14 citations · 29 across the 7 of their papers we have counts for
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math.OA2010★ 2 cited
Spectra self-similarity for almost Mathieu operators
Michael P. Lamoureux, James A. Mingo, Sydney R. Pachmann
We determine numerically the self-similarity maps for spectra of the almost Mathieu operators, a two-dimensional fractal-like structure known as the Hofstadter butterfly. The simil…
math.OA2010★ 2 cited
Drawing butterflies from the almost Mathieu operator
Michael P. Lamoureux
Plotting spectra of a range of almost Mathieu operators reveals a beautiful fractal-like image that contains multiple copies of a butterfly image. We demonstrate that plotting the…
math.OA2006
On the Characteristic Polynomial of the Almost Mathieu Operator
Michael P. Lamoureux, James A. Mingo
Let theta = p/q with p and q relatively prime and u and v a pair of unitaries such that u v = e^{i theta} v u, where u and v generate the rotation C*-algebra A_theta. Let h_{theta,…