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Corrugated surfaces and a. c. spectrum. (English) Zbl 0979.60050
Spectral and scattering properties of the discrete Laplacian on the half-space are considered. The boundary condition can be deterministic as well as random. The existence of the wave operator is shown. It is studied when and where the wave operators are complete and the spectrum of Laplacian is purely absolutely continuous.

MSC:
60H15 Stochastic partial differential equations (aspects of stochastic analysis)
47A10 Spectrum, resolvent
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