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On a class of $H$-selfadjont random matrices with one eigenvalue of nonpositive type

   
@article{ECP2148,
	author = {Michal Wojtylak},
	title = {On a class of $H$-selfadjont random matrices with one eigenvalue of nonpositive type},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {17},
	year = {2012},
	keywords = {Random matrix; Wigner matrix; eigenvalue; limit distribution of eigenvalues; \$\Pi_1\$-space},
	abstract = {Large $H$-selfadjoint random matrices are considered. The matrix $H$ is assumed to have one negative eigenvalue, hence the matrix in question has precisely one  eigenvalue of nonpositive type. It is showed that this eigenvalue converges in probability to a deterministic limit. The weak limit of distribution of  the real eigenvalues is investigated as well.},
	pages = {no. 45, 1-14},
	issn = {1083-589X},
	doi = {10.1214/ECP.v17-2148},    
        url = {http://ecp.ejpecp.org/article/view/2148}}