Moderate deviations for traces of words in a mult-matrix model
Peter Eichelsbacher, Professor at Ruhr-University of Bochum
Jens Sommerauer,
Abstract
We prove a moderate deviation principle for traces of words of weakly interacting random matrices defined by a multi-matrix model with a potential being a small perturbation of the GUE.
The remarkable strength of high order expansions of the matrix model recently found by Guionnet and Maurel-Segala is the key fact that allows us
to develop our result and provides also an alternative proof for a special case of the central limit theorem for traces of words, studied in the article of Guionnet and Maurel-Segala (2006).
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