A matrix interpolation between classical and free max operations: I. The univariate case
arXiv:0806.3686 · doi:10.1007/s10959-009-0210-1
Abstract
Recently, Ben Arous and Voiculescu considered taking the maximum of two free random variables and brought to light a deep analogy with the operation of taking the maximum of two independent random variables. We present here a new insight on this analogy: its concrete realization based on random matrices giving an interpolation between classical and free settings.
14 pages