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Lyapunov exponents of quasi-periodic cocycles

Tuesday 7th April 2015 - 15:00 to 15:25
INI Seminar Room 1
Co-author: Pedro Duarte (University of Lisbon)

The purpose of this talk is to review some recent results concerning Lyapunov exponents of higher dimensional, analytic cocycles over a multi-frequency torus translation. Such cocycles appear naturally in the study of band lattice quasi-periodic Schrodinger operators.

The main new feature of this work is allowing a cocycle depending on several variables to have singularities, which requires a careful analysis involving pluri-subharmonic and analytic functions of several variables.

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