Abstract
States on a Sierpinski triangle are described using a formally exact and general Hamiltonian renormalization. The spectra of new (as well as previously examined) models are characterized. Numerical studies based on the renormalization suggest that the only models which exhibit absolutely continuous specta are effectively one-dimensional in the limit of large distances.
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Kimball, J.C. States on the Sierpinski Triangle. Foundations of Physics 28, 87–105 (1998). https://doi.org/10.1023/A:1018760504393
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DOI: https://doi.org/10.1023/A:1018760504393