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.SP2025
On point spectrum of Jacobi matrices generated by iterations of quadratic polynomials
Benjamin Eichinger, Milivoje LukiÄ, 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…
math.CV2025
GreenÅ 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.,…