A universality result for the smallest eigenvalues of certain sample   covariance matrices
  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. 
Ohad N. Feldheim, Sasha Sodin