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math.SP2026
(Sharp arithmetic) localization beyond transversality
Svetlana Jitomirskaya, Netanel Levi, Tom Stoiber
We prove sharp arithmetic localization for one-dimensional quasiperiodic potentials with jump discontinuities, beyond uniform transversality. Our results include every non-constant…
math.SP2026
The Point Spectrum Of Periodic Quantum Trees
Jonathan Breuer, Netanel Y. Levi
We study the point spectrum of a periodic quantum tree equipped with a Schrödinger type differential operator with delta-type vertex conditions, using subsets of the compact graph…