Periodic Jacobi operators on the half-line satisfy t^{-1/2} weighted dispersive decay in full generality and t^{-1/3} or t^{-1/(q+1)} global decay under explicit spectral conditions.
Dispersive estimate for quasi-periodic Schr¨ odinger operators on 1-d lattices
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Dispersive Decay Estimates for periodic Jacobi operators on the half-line
Periodic Jacobi operators on the half-line satisfy t^{-1/2} weighted dispersive decay in full generality and t^{-1/3} or t^{-1/(q+1)} global decay under explicit spectral conditions.