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math-ph2016
Anderson localization for one-frequency quasi-periodic block Jacobi operators
Silvius Klein
We consider a one-frequency, quasi-periodic, block Jacobi operator, whose blocks are generic matrix-valued analytic functions. We establish Anderson localization for this type of o…
math.DS2016
Continuity, positivity and simplicity of the Lyapunov exponents for quasi-periodic cocycles
Pedro Duarte, Silvius Klein
An analytic quasi-periodic cocycle is a linear cocycle over a fixed ergodic torus translation of one or several variables, where the fiber action depends analytically on the base p…