Corrugated surfaces and a. c. spectrum (Q2711624)

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Corrugated surfaces and a. c. spectrum
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    17 February 2002
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    discrete Laplacian
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    absolutely continuous spectrum
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    wave operator
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    Corrugated surfaces and a. c. spectrum (English)
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    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.
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