A spectral study of the Minkowski Curve
Analysis of PDEs
2018-02-06 v3
Abstract
In the following, we give an explicit construction of a Laplacian on the Minkowski curve, with energy forms that bear the geometric characteristic of the structure. The spectrum of the Laplacian is obtained by means of spectral decimation.
Cite
@article{arxiv.1711.10350,
title = {A spectral study of the Minkowski Curve},
author = {Nizare Riane and Claire David},
journal= {arXiv preprint arXiv:1711.10350},
year = {2018}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1703.05793, arXiv:1704.04518, arXiv:1703.03371