Spectral Properties of Laplacians on Snowflake domains and filled Julia sets
classification
🧮 math.AP
math.DS
keywords
juliasetseigenvaluefilledquadraticsnowflakeapproximatearea
read the original 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.
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