@article{EJP246,
author = {Thierry Cabanal-Duvillard},
title = {A Matrix Representation of the Bercovici-Pata Bijection},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {10},
year = {2005},
keywords = {Random matrices, free probability, infinitely divisible laws},
abstract = {Let $\mu$ be an infinitely divisible law on the real line, $\Lambda(\mu)$ its freely infinitely divisible image by the Bercovici-Pata bijection. The purpose of this article is to produce a new kind of random matrices with distribution $\mu$ at dimension 1, and with its empirical spectral law converging to $\Lambda(\mu)$ as the dimension tends to infinity. This constitutes a generalisation of Wigner's result for the Gaussian Unitary Ensemble.},
pages = {no. 18, 632-661},
issn = {1083-6489},
doi = {10.1214/EJP.v10-246},
url = {http://ejp.ejpecp.org/article/view/246}}