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math.PR2010★ 3 cited
Autocorrelations of the characteristic polynomial of a random matrix under microscopic scaling
Rowan Killip, Eric Ryckman
We calculate the autocorrelation function for the characteristic polynomial of a random matrix in the microscopic scaling regime. While results fitting this description have be pro…
math.PR2008★ 1 cited
Linear Statistics of Point Processes via Orthogonal Polynomials
E. Ryckman
For arbitrary , we use the orthogonal polynomials techniques developed by R. Killip and I. Nenciu to study certain linear statistics associated with the circular and Jacobi $…