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LEGUIL , Martin

Last name: LEGUIL

First name: Martin

2017 (v1)

Publication

Metadata-only

Asymptotics of spectral gaps of quasi-periodic Schr\"odinger operators

Leguil, Martin You, Jiangong Zhao, Zhiyan

For non-critical almost Mathieu operators with Diophantine frequency, we establish exponential asymptotics on the size of spectral gaps, and show that the spectrum is homogeneous. We also prove the homogeneity of the spectrum for Sch\"odinger operators with (measure-theoretically) typical quasi-periodic analytic potentials and fixed strong...

Uploaded on: December 4, 2022