Lyapunov exponents of quasi-periodic cocycles

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• Klein, S (NTNU)
• Tuesday 07 April 2015, 15:00-15:25
• Seminar Room 1, Newton Institute.

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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