43 citations · 194 across the 50 of their papers we have counts for
27 papers · 1 filter
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…
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…
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…
Szegő's Theorem for Canonical Systems: the Arov Gauge and a Sum Rule
David Damanik, Benjamin Eichinger, Peter Yuditskii
We consider canonical systems and investigate the Szegő class, which is defined via the finiteness of the associated entropy functional. Noting that the canonical system may be stu…
Direct Cauchy Theorem and Fourier integral in Widom domains
Peter Yuditskii
We derive Fourier integral associated to the complex Martin function in the Denjoy domain of Widom type with the Direct Cauchy Theorem (DCT). As an application we study reflectionl…