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math.SP2026
New universality classes associated to fractals
Benjamin Eichinger, Alexander Kheifets, Milivoje Lukić +1
The local behavior of zeros of orthogonal polynomials is determined by the local scaling behavior of Christoffel-Darboux (CD) kernels. All previously studied behaviors are describe…
math.SP2026
Clock spacing for two-sided Jacobi matrices
Benjamin Eichinger, Milivoje Lukić, Giorgio Young
We study local eigenvalue spacing for finite truncations of a two-sided Jacobi matrix with two movable endpoints. In particular, we show that a suitable analog of clock spacing fol…