9 citations · 20 across the 20 of their papers we have counts for
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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…
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…
A Weyl Matrix Perspective on Unbounded Non-Self-Adjoint Jacobi Matrices
Benjamin Eichinger, Milivoje Lukić, Giorgio Young
A new way of encoding a non-self-adjoint Jacobi matrix by a spectral measure of together with a phase function was described by Pushnitski--\v Stampach in the bounded cas…
On point spectrum of Jacobi matrices generated by iterations of quadratic polynomials
Benjamin Eichinger, Milivoje Lukić, Peter Yuditskii
In general, point spectrum of an almost periodic Jacobi matrix can depend on the element of the hull. In this paper, we study the hull of the limit-periodic Jacobi matrix correspon…
Limit-Periodic Dirac Operators with Thin Spectra
Benjamin Eichinger, Jake Fillman, Ethan Gwaltney +1
We prove that limit-periodic Dirac operators generically have spectra of zero Lebesgue measure and that a dense set of them have spectra of zero Hausdorff dimension. The proof comb…
Stahl-Totik Regularity for Dirac Operators
Benjamin Eichinger, Ethan Gwaltney, Milivoje Lukić
We develop a theory of regularity for Dirac operators with uniformly locally square-integrable operator data. This is motivated by Stahl--Totik regularity for orthogonal polynomial…