43 citations · 194 across the 50 of their papers we have counts for
56 papers
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…
Greenś Mapping and Julia Sets
Ilia Binder, Paul F. X. Müller, Peter Yuditskii
In March 1999, the first named author (Binder) posed the problem of showing that a ``good direction'' exists, for any Green's mapping , i.e., \…
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…
The Deift Conjecture: A Program to Construct a Counterexample
David Damanik, Milivoje Lukić, Alexander Volberg +1
We describe a program to construct a counterexample to the Deift conjecture, that is, an almost periodic function whose evolution under the KdV equation is not almost periodic in t…
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,…
Reflectionless canonical systems, I. Arov gauge and right limits
Roman Bessonov, Milivoje Lukić, Peter Yuditskii
In spectral theory, -monotonic families of matrix functions appear as transfer matrices of many one-dimensional operators. We present a general theory of such famili…