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A universality result for the smallest eigenvalues of certain sample covariance matrices (2008)

Abstract
After proper rescaling and under some technical assumptions, the smallest eigenvalue of a sample covariance matrix with aspect ratio bounded away from 1 converges to the Tracy--Widom distribution. This complements the results on the largest eigenvalue, due to Soshnikov and Peche.. Comment: 53 pages, 7 figures. To appear in Geom. Funct. Anal

Publication details
Download http://arxiv.org/abs/0812.1961
Repository arXiv (United States)
Keywords Mathematical Physics, Mathematics - Probability
Type text