A new Canonical Center Bundle framework for long-range operators coincides with finite-range approximations and yields absolute continuity of the IDS plus Anderson localization for analytic quasi-periodic Schrödinger operators with Diophantine frequency.
Han, Sharp localization on the first supercritical stratum for Liouville frequencies, arXiv:2405.07810 (2024)
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Transfer Operators, Canonical Center Dynamics, and Spectral Applications for Long-Range Operators
A new Canonical Center Bundle framework for long-range operators coincides with finite-range approximations and yields absolute continuity of the IDS plus Anderson localization for analytic quasi-periodic Schrödinger operators with Diophantine frequency.