A Matrix Interpolation between Classical and Free Max Operations. I. The Univariate Case |
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| Authors: | Florent Benaych-Georges Thierry Cabanal-Duvillard |
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| Affiliation: | 1.LPMA,UPMC Univ. Paris 6,Paris Cedex 05,France;2.CMAP,école Polytechnique,Palaiseau Cedex,France;3.MAP 5,UMR CNRS 8145–Université Paris Descartes,Paris cedex 6,France |
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| 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. |
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