80
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Spectral Properties of Laplacians on Snowflake Domains and Filled Julia Sets

&
 

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.

2000 Mathematics Subject Classification:

Declaration of Interest

No potential conflict of interest was reported by the author(s).

Additional information

Funding

SCW was supported by the Foundation of German Business (SDW).

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.