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math.SP2026
Clock spacing for two-sided Jacobi matrices
Benjamin Eichinger, Milivoje Lukić, Giorgio Young
We study local eigenvalue spacing for finite truncations of a two-sided Jacobi matrix with two movable endpoints. In particular, we show that a suitable analog of clock spacing fol…
math.SP2026
Wave operators for Jacobi matrices
Sergey A. Denisov, Giorgio Young
We study the wave operators for a Jacobi matrix whose spectral measure satisfies the Szegö condition. We prove existence and completeness of wave operators under a mild additional…
math.SP2026
Directional Ballistic Transport in Quantum Waveguides
Adam Black, David Damanik, Peter Kuchment +2
We study the transport properties of Schrödinger operators on with potentials that are periodic in some directions and compactly supported in the others. Such system…