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On the spectral properties of a class of H-selfadjoint random matrices and the underlying combinatorics

   
@article{ECP3066,
	author = {Michal Wojtylak and Patryk Pagacz},
	title = {On the spectral properties of a class of H-selfadjoint random matrices and the underlying combinatorics},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {19},
	year = {2014},
	keywords = {Wigner matrix; H-selfadjoint matrix; eigenvalue of nonpositive type; Catalan numbers},
	abstract = {An expansion of the Weyl function of a $H$-selfadjoint random matrix with one negative square is provided. It is shown that the coefficients converge to a certain generalization of Catlan numbers. Properties of this generalization are studied, in particular, a combinatorial interpretation is given.},
	pages = {no. 7, 1-14},
	issn = {1083-589X},
	doi = {10.1214/ECP.v19-3066},    
        url = {http://ecp.ejpecp.org/article/view/3066}}