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math-ph2026
The Robust Ten Martini Problem
Lingrui Ge, Svetlana Jitomirskaya, Jiangong You
We solve the robust ten martini problem: Cantor spectrum with no arithmetic restriction on the irrational frequency for Type I analytic one-frequency quasiperiodic Schrodinger oper…
math-ph2024
Exact local distribution of the absolutely continuous spectral measure
Xianzhe Li, Jiangong You, Qi Zhou
It is well-established that the spectral measure for one-frequency Schrödinger operators with Diophantine frequencies exhibits optimal -Hölder continuity within the absolutely…