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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,…
math.OA2006★ 63 cited
Second Order Freeness and Fluctuations of Random Matrices, III. Higher order freeness and free cumulants
Benoit Collins, James A. Mingo, Piotr Sniady +1
We extend the relation between random matrices and free probability theory from the level of expectations to the level of all correlation functions (which are classical cumulants o…