3 papers
math.SP2026
New universality classes associated to fractals
Benjamin Eichinger, Alexander Kheifets, Milivoje LukiÄ +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 LukiÄ, 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…
math.AP2025
Almost Periodic Solutions of The Cubic Defocusing Nonlinear Schrödinger Equation
Jake Fillman, Long Li, Milivoje LukiÄ +1
This paper addresses the Cauchy problem for the cubic defocusing nonlinear Schrödinger equation (NLS) with almost periodic initial data. We prove that for small analytic quasiperi…