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arxiv: 1305.4568 · v1 · pith:4XV5NSFGnew · submitted 2013-05-20 · 🧮 math-ph · math.MP

Wave propagation in periodic lattices with defects of smaller dimension

classification 🧮 math-ph math.MP
keywords operatorsdefectsperiodicsmallerallowsdifferentdimensiondimensions
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The procedure of evaluating of the spectrum for discrete periodic operators perturbed by operators of smaller dimensions is obtained. This result allows to obtain propagative, guided, localised spectra for different kind of physical operators on graphs with defects.

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