3 citations · 5 across the 5 of their papers we have counts for
7 papers
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…
An approach to universality using Weyl m-functions
Benjamin Eichinger, Milivoje Lukić, Brian Simanek
We describe an approach to universality limits for orthogonal polynomials on the real line which is completely local and uses only the boundary behavior of the Weyl m-function at t…
Asymptotics of Chebyshev rational functions with respect to subsets of the real line
Benjamin Eichinger, Milivoje Lukić, Giorgio Young
There is a vast theory of Chebyshev and residual polynomials and their asymptotic behavior. The former ones maximize the leading coefficient and the latter ones maximize the point…
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…
Reflectionless canonical systems, II. Almost periodicity and character-automorphic Fourier transforms
Roman Bessonov, Milivoje Lukić, Peter Yuditskii
We develop a comprehensive theory of reflectionless canonical systems with an arbitrary Dirichlet-regular Widom spectrum with the Direct Cauchy Theorem property. This generalizes,…
Uniqueness of solutions of the KdV-hierarchy via Dubrovin-type flows
Milivoje Lukić, Giorgio Young
We consider the Cauchy problem for the KdV hierarchy -- a family of integrable PDEs with a Lax pair representation involving one-dimensional Schrödinger operators -- under a local…