48 citations · 71 across the 3 of their papers we have counts for
4 papers
Necessary and sufficient conditions for universality limits
Benjamin Eichinger, Milivoje Lukić, Harald Woracek
We derive necessary and sufficient conditions for universality limits for orthogonal polynomials on the real line and related systems. One of our results is that the Christoffel-Da…
Generalized Prüfer variables for perturbations of Jacobi and CMV matrices
Milivoje Lukic, Darren C. Ong
Prüfer variables are a standard tool in spectral theory, developed originally for perturbations of the free Schrödinger operator. They were generalized by Kiselev, Remling, and Sim…
New Anomalous Lieb-Robinson Bounds in Quasi-Periodic XY Chains
David Damanik, Marius Lemm, Milivoje Lukic +1
We announce and sketch the rigorous proof of a new kind of anomalous (or sub-ballistic) Lieb-Robinson bound for an isotropic XY chain in a quasi-periodic transversal magnetic field…
Quantum Dynamics of Periodic and Limit-Periodic Jacobi and Block Jacobi Matrices with Applications to Some Quantum Many Body Problems
David Damanik, Milivoje Lukic, William Yessen
We investigate quantum dynamics with the underlying Hamiltonian being a Jacobi or a block Jacobi matrix with the diagonal and the off-diagonal terms modulated by a periodic or a li…