Sierpiński fractals and the dimension of their Laplacian spectrum
arXiv:2308.00185 · doi:10.3390/mca28030070
Abstract
We estabish rigorous estimates for the Hausdorff dimension of the spectra of Laplacians associated to Sierpiński lattices and infinite Sierpiński gaskets and other post-critically finite self-similar sets.
20 pages, 6 figures