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math.DS2012★ 24 cited
Positive Lyapunov exponents for higher dimensional quasiperiodic cocycles
Pedro Duarte, Silvius Klein
We consider an m-dimensional analytic cocycle with underlying dynamics given by an irrational translation on the circle. Assuming that the d-dimensional upper left corner of the co…
math-ph2012★ 26 cited
Localization for quasiperiodic Schrodinger operators with multivariable Gevrey potential functions
Silvius Klein
We consider an integer lattice quasiperiodic Schrodinger operator. The underlying dynamics is either the skew-shift or the multi-frequency shift by a Diophantine frequency. We assu…