Provides explicit formulas for the diffraction spectrum coefficients of multi-origin visible points in lattices and proves pure point translation bounded spectrum for visible points in certain cut-and-project sets.
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Spectral butterflies form in parameter-dependent Schrödinger operators on weighted Delone sets and reflect fractal self-similar structures, with the framework extending across dimensions and to non-Abelian groups.
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On the diffraction spectrum of the set of visible points in lattices and certain cut-and-project sets
Provides explicit formulas for the diffraction spectrum coefficients of multi-origin visible points in lattices and proves pure point translation bounded spectrum for visible points in certain cut-and-project sets.
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The butterflies' effects
Spectral butterflies form in parameter-dependent Schrödinger operators on weighted Delone sets and reflect fractal self-similar structures, with the framework extending across dimensions and to non-Abelian groups.