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

Date: 
Friday 10th April 2015 - 16:30 to 16:55
Venue: 
INI Seminar Room 1
Abstract: 
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.

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons