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Paper detail

A matrix interpolation between classical and free max operations: I. The univariate case

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.

preprint2009arXivOpen access
Florent Benaych-GeorgesThierry Cabanal-Duvillard
math.PR
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Florent Benaych-GeorgesThierry Cabanal-Duvillard

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