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math.CO2001
On the largest eigenvalue of a sparse random subgraph of the hypercube
Alexander Soshnikov
We consider a sparse random subraph of the -cube where each edge appears independently with small probability . In the most interesting regime when …
math.PR2001
A note on universality of the distribution of the largest eigenvalues in certain sample covariance matrices
Alexander Soshnikov
Recently Johansson and Johnstone proved that the distribution of the (properly rescaled) largest principal component of the complex (real) Wishart matrix $ X^* \* X (X^t \*X) $ con…