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arXiv · 2308.00185

Sierpi\'nski fractals and the dimension of their Laplacian spectrum

Mark Pollicott·Julia Slipantschuk
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Abstract

We estabish rigorous estimates for the Hausdorff dimension of the spectra of Laplacians associated to Sierpi\'nski lattices and infinite Sierpi\'nski gaskets and other post-critically finite self-similar sets.

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Mark Pollicott, Julia Slipantschuk. 2023-07-31. Sierpi\'nski fractals and the dimension of their Laplacian spectrum. https://doi.org/10.3390/mca28030070

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