Absence of absolutely continuous spectrum for random scattering zippers

作者:Boumaza Hakim*; Marin Laurent
来源:Journal of Mathematical Physics, 2015, 56(2): 022701.
DOI:10.1063/1.4906809

摘要

A scattering zipper is a system obtained by concatenation of scattering events with equal even number of incoming and outgoing channels. The associated scattering zipper operator is the unitary analog of Jacobi matrices with matrix entries. For infinite identical events and independent and identically distributed random phases, Lyapunov exponents positivity is proved and yields absence of absolutely continuous spectrum by Kotani's theory.

  • 出版日期2015-2

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