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On the Homogeneity of the Spectrum for Quasi-Periodic Schroedinger Operators

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

Periodic and Ergodic Spectral Problems

Co-authors: David Damanik (Rice University), Michael Goldstein (University of Toronto), Wilhelm Schlag (University of Chicago)

I will discuss a recent result showing that the spectrum of discrete one-dimensional quasi-periodic Schroedinger operators is homogeneous in the regime of positive Lyapunov exponent. The homogeneity is in the sense of Carleson, as used in the study of the inverse spectral problem for reflectionless potentials. The talk is based on joint work with David Damanik, Michael Goldstein, and Wilhelm Schlag.

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

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