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math.SP2026
The Dry Ten Martini Problem for subcritical Type I operators
Lingrui Ge
We supply the details of the subcritical dry Ten Martini statement announced in [6, Remark 1.3]: for every irrational frequency, every subcritical Type I energy with resonant rotat…
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…