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On the Generic Cantor Spectrum problem

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If you have a question about this talk, please contact Mustapha Amrani.

Periodic and Ergodic Spectral Problems

We prove that The spectrum is a Cantor set for generic one frequency analytic quasi-periodic Schr”odinger operators, which gives an answer to Problem 6 of Barry Simon’s list of conjectures in one frequency case. Some related problems will be posed in the talk. The talk is based on a joint work with R. Krikorian and Q. Zhou.

This talk is part of the Isaac Newton Institute Seminar Series series.

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