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Moderate deviations for traces of words in a mult-matrix model

   
@article{ECP1515,
	author = {Peter Eichelsbacher and Jens Sommerauer},
	title = {Moderate deviations for traces of words in a mult-matrix model},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {14},
	year = {2009},
	keywords = {Random matrices, moderate deviations, map enumeration},
	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).},
	pages = {no. 56, 572-586},
	issn = {1083-589X},
	doi = {10.1214/ECP.v14-1515},    
        url = {http://ecp.ejpecp.org/article/view/1515}}