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math.PR2012★ 2 cited
Partial freeness of random matrices
Jiahao Chen, Troy Van Voorhis, Alan Edelman
We investigate the implications of free probability for random matrices. From rules for calculating all possible joint moments of two free random matrices, we develop a notion of p…
cond-mat.dis-nn2012★ 12 cited
Error analysis of free probability approximations to the density of states of disordered systems
Jiahao Chen, Eric Hontz, Jeremy Moix +5
Theoretical studies of localization, anomalous diffusion and ergodicity breaking require solving the electronic structure of disordered systems. We use free probability to approxim…