Remarks on absolute continuity in the context of free probability and random matrices

DOI10.1090/proc/12752zbMath1332.60027arXiv1409.2217OpenAlexW1708553593MaRDI QIDQ2790209

Arijit Chakrabarty, Rajat Subhra Hazra

Publication date: 3 March 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.2217

zbMATH Keywords

random matrixabsolute continuityfree multiplicative convolution

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53)

Related Items (3)

The Hadamard product and the free convolutions ⋮ From random matrices to long range dependence ⋮ Spectra of adjacency and Laplacian matrices of inhomogeneous Erdős–Rényi random graphs

Cites Work

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• The atoms of the free multiplicative convolution of two probability distributions
• Free infinite divisibility of free multiplicative mixtures of the Wigner distribution
• From random matrices to long range dependence
• The $S$-transform of symmetric probability measures with unbounded supports
• Lectures on the Combinatorics of Free Probability
• On the free convolution with a semi-circular distribution

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