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

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

2008-06-23

arxiv.org/abs/0806.3686v3

Journal of Theoretical Probability 23, 2 (2010) 447-465

Mathematics

Probability

14 pages

Scientific paper

10.1007/s10959-009-0210-1

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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