| We consider the spectral problem for the adjacency matrix of a graph composed of a compact part with a few semi-infinite periodic leads attached. Based on the spectral properties of the adjacency matrix we develop Lax-Phillips scattering theory for the corresponding discrete wave equation. |
Keywords
adjacency matrix, incoming/outgoing subspaces, resonances
Math Review Classification
Primary 47A40, 81U15
; Secondary 05045
Last Updated
25.12.05
Length
11 pages
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