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A MATRIX INTERPOLATION BETWEEN CLASSICAL AND FREE MAX OPERATIONS. I. THE

By Univariate Case, Florent Benaych-georges and Thierry Cabanal-duvillard

Abstract

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. Content

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