4 papers · 1 filter
A Weyl Matrix Perspective on Unbounded Non-Self-Adjoint Jacobi Matrices
Benjamin Eichinger, Milivoje Lukić, Giorgio Young
A new way of encoding a non-self-adjoint Jacobi matrix by a spectral measure of together with a phase function was described by Pushnitski--\v Stampach in the bounded cas…
Ballistic transport for limit-periodic Schrödinger operators in one dimension
Giorgio Young
In this paper, we consider the transport properties of the class of limit-periodic continuum Schrödinger operators whose potentials are approximated exponentially quickly by a sequ…
Orthogonal rational functions with real poles, root asymptotics, and GMP matrices
Benjamin Eichinger, Milivoje Lukić, Giorgio Young
There is a vast theory of the asymptotic behavior of orthogonal polynomials with respect to a measure on and its applications to Jacobi matrices. That theory has an ob…
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…