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math-ph2016
Random Matrix Ensembles with Split Limiting Behavior
Paula Burkhardt, Peter Cohen, Jonathan Dewitt +6
We introduce a new family of random real symmetric matrix ensembles, the -checkerboard matrices, whose limiting spectral measure has two components which can be dete…
math.NT2016
One-Level density for holomorphic cusp forms of arbitrary level
Owen Barrett, Paula Burkhardt, Jonathan DeWitt +2
In 2000 Iwaniec, Luo, and Sarnak proved for certain families of -functions associated to holomorphic newforms of square-free level that, under the Generalized Riemann Hypothesis…