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Lyapunov exponents of quasi-periodic cocycles

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

Periodic and Ergodic Spectral Problems

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.

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

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