Spectrum of the Laplacian on Snowflake Domains and filled-in Julia sets

Abstract

We compute the spectrum of the Laplacian on snowflake domains and chosen filled-in Julia sets, their box-counting dimension and area and investigate the eigenvalue counting function.

Publication
Spectrum of the Laplacian on Snowflake Domains and filled-in Julia sets, Experimental Mathematics (forthcoming)
Samuel Wiese
Samuel Wiese
PhD Student in Computer Science