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arXiv · 1505.05020

Free Probability for Pairs of Faces IV: Bi-free Extremes in the Plane

Dan-Virgil Voiculescu
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Abstract

We compute the bi-free max-convolution which is the operation on bi-variate distribution functions corresponding to the max-operation with respect to the spectral order on bi-free bi-partite two-faced pairs of hermitian non-commutative random variables. With the corresponding definitions of bi-free max-stable and max-infinitely-divisible laws their determination becomes in this way a classical analysis question.

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Dan-Virgil Voiculescu. 2015-08-11. Free Probability for Pairs of Faces IV: Bi-free Extremes in the Plane. https://arxiv.org/abs/1505.05020

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