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arXiv · 1903.08259

Spectral Properties of Laplacians on Snowflake domains and filled Julia sets

Robert S. Strichartz·Samuel C. Wiese
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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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Robert S. Strichartz, Samuel C. Wiese. 2019-03-19. Spectral Properties of Laplacians on Snowflake domains and filled Julia sets. https://arxiv.org/abs/1903.08259

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