On the free convolution with a free multiplicative analogue of the normal distribution

DOI10.1007/s10959-014-0556-xzbMath1347.46050arXiv1211.3160OpenAlexW1974990246MaRDI QIDQ904701

Ping Zhong

Publication date: 13 January 2016

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.3160

zbMATH Keywords

distributionfree Brownian motionfree probabilitymultiplicative

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Free probability and free operator algebras (46L54)

Related Items

Spectral distribution of the free Jacobi process, revisited ⋮ Log-unimodality for free positive multiplicative Brownian motion ⋮ Superconvergence and regularity of densities in free probability ⋮ The Brown measure of a family of free multiplicative Brownian motions ⋮ Brown measures of free circular and multiplicative Brownian motions with self-adjoint and unitary initial conditions ⋮ Local limit theorems for multiplicative free convolutions ⋮ Continuity and growth of free multiplicative convolution semigroups ⋮ Remarks on free mutual information and orbital free entropy ⋮ Schur–Weyl duality and the product of randomly-rotated symmetries by a unitary Brownian motion

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