5 papers
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…
Asymptotics of Chebyshev rational functions with respect to subsets of the real line
Benjamin Eichinger, Milivoje Lukić, Giorgio Young
There is a vast theory of Chebyshev and residual polynomials and their asymptotic behavior. The former ones maximize the leading coefficient and the latter ones maximize the point…
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…