Absence of absolutely continuous spectrum for random scattering zippers
Absence of absolutely continuous spectrum for random scattering zippers
A scattering zipper is a system obtained by concatenation of scattering events with equal even number of incoming and out going channels. The associated scattering zipper operator is the unitary equivalent of Jacobi matrices with matrix entries. For infinite identical events and random phases, Lyapunov exponents positivity is proved and …