Localization on Snowflake Domains
Numerical Analysis
2009-09-29 v1 Mathematical Physics
math.MP
Abstract
The geometric features of the square and triadic Koch snowflake drums are compared using a position entropy defined on the grid points of the discretizations (pre-fractals) of the two domains. Weighted graphs using the geometric quantities are created and random walks on the two pre-fractals are performed. The aim is to understand if the existence of narrow channels in the domain may cause the `localization' of eigenfunctions.
Keywords
Cite
@article{arxiv.math/0609798,
title = {Localization on Snowflake Domains},
author = {Britta Daudert and Michel L. Lapidus},
journal= {arXiv preprint arXiv:math/0609798},
year = {2009}
}
Comments
37 pages, 22 figures