Absence of eigenvalues for quasiperiodic Schrödinger type operators

We obtain the matrix-valued Schrödinger-type operators [ H α,θ ] with Lipschitz potentials having no eigenvalues on the set { E : L ( E ) < δ C, d ( α, θ )}, where δ is an explicit function depending on the sampling function C ( θ ), dimension d , phase θ , and frequency α , and L ( E ) is the Lyapunov exponent.