Benoit Collins - Itzykson-Zuber integral and Voiculescu's R-transform

We show that the limit of the Itzykson-Zuber integral (that was proved to exist by Guionnet and Zeitouni, J. Funct. Anal. 188 (2002), pp.461-515), suitably rescaled in one of the parameters, converges towards a function of the second parameter that linearizes Voiculescu's free additive convolution. This generalizes recent results of Guionnet and Maida.

Joint work with P Śniady

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Last updated May 23, 2005. This page was created and is maintained by Stephen Wills (s.wills@ucc.ie).