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How many eigenvalues of a Gaussian random matrix are positive?
Gaussian random matrices large deviations Coulomb gas method index
2011/3/2
We study the probability distribution of the index N+, i.e., the number of positive eigenvalues of an N × N Gaussian random matrix. We show analytically that, for large N and large N+ with the fractio...
On the maximal size of Large-Average and ANOVA-fit Submatrices in a Gaussian Random Matrix
analysis of variance data mining Gaussian random matrix large average sub-matrix random matrix theory
2010/11/29
We investigate the maximal size of distinguished submatrices of a Gaussian random matrix. Of interest are submatrices whose entries have average greater than or equal to a positive constant, and subma...