Lyapunov exponents of continuous Schrödinger cocycles over irrational rotations

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Abstract

We consider the Lyapunov exponent of those continuous SL (2,ℝ)-valued cocycles over irrational rotations that appear in the study of Schrödinger operators and prove generic results related to large coupling asymptotics and uniform convergence. © 2006 Springer-Verlag.

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Bjerklöv, K., Damanik, D., & Johnson, R. (2008). Lyapunov exponents of continuous Schrödinger cocycles over irrational rotations. Annali Di Matematica Pura Ed Applicata, 187(1), 1–6. https://doi.org/10.1007/s10231-006-0029-7

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