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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-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…
math-ph2003
Anderson localization for the discrete one-dimensional quasi-periodic Schroedinger operator with potential defined by a Gevrey-class function
Silvius Klein
In this paper we consider the discrete one-dimensional Schroedinger operator with quasi-periodic potential v_n = λv (x + n ω). We assume that the frequency ωsatisfies a strong Diop…