Spectral Properties of Laplacians on Snowflake domains and filled Julia sets
arXiv:1903.08259
Abstract
We present eigenvalue data and pictures of eigenfunctions of the classic and quadratic snowflake fractal and of quadratic filled Julia sets. Furthermore, we approximate the area and box-counting dimension of selected Julia sets to compare the eigenvalue counting function with the Weyl term.
29 pages, 143 figures