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math.PR2012
Limiting Spectral Distribution of Sum of Unitary and Orthogonal Matrices
Anirban Basak, Amir Dembo
We show that the empirical eigenvalue measure for sum of independent Haar distributed -dimensional unitary matrices, converge for to the Brown measure of the…
math.PR2012
Ferromagnetic Ising Measures on Large Locally Tree-Like Graphs
Anirban Basak, Amir Dembo
We consider the ferromagnetic Ising model on a sequence of graphs converging locally weakly to a rooted random tree. Generalizing [Montanari, Mossel, Sly '11], under an appro…