Back to Search
Start Over
Spectral Properties of Laplacians on Snowflake domains and filled Julia sets
- Publication Year :
- 2019
-
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.<br />29 pages, 143 figures
- Subjects :
- Pure mathematics
Mathematics::Dynamical Systems
Mathematics::Complex Variables
General Mathematics
Spectral properties
Dynamical Systems (math.DS)
Eigenfunction
Mathematics::Spectral Theory
Julia set
Quadratic equation
Fractal
Mathematics - Analysis of PDEs
FOS: Mathematics
Snowflake
Mathematics - Dynamical Systems
35P05
Laplace operator
Eigenvalues and eigenvectors
Analysis of PDEs (math.AP)
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....10ae9bedd11f3f991006888026f4f922