Article ID Journal Published Year Pages File Type
4614057 Journal of Mathematical Analysis and Applications 2017 20 Pages PDF
Abstract

We study the Matsumoto–Yor property in free probability. We prove that the limiting empirical eigenvalue distribution of the GIG matrices and the Marchenko–Pastur distribution have the free Matsumoto–Yor property. Finally we characterize these distributions by regression properties in free probability.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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