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arXiv · 1702.01673

Analytic subordination for bi-free convolution

Serban Belinschi·Hari Bercovici·Yinzheng Gu·Paul Skoufranis
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Abstract

In this paper we study some analytic properties of bi-free additive convolution, both scalar and operator-valued. We show that using properties of Voiculescu's subordination functions associated to free additive convolution of operator-valued distributions, simpler formulas for bi-free convolutions can be derived. We use these formulas in order to prove a result about atoms of bi-free additive convolutions.

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Serban Belinschi, Hari Bercovici, Yinzheng Gu, Paul Skoufranis. 2017-02-06. Analytic subordination for bi-free convolution. https://arxiv.org/abs/1702.01673

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