Cheeger's energy on the Harmonic Sierpinski Gasket
Metric Geometry
2020-05-26 v1
Abstract
Koskela and Zhou have proven that, on the harmonic Sierpinski gasket with Kusuoka's measure, the "natural" Dirichlet form coincides with Cheeger's energy. We give a different proof of this result, which uses the properties of the Lyapounov exponent of the gasket.
Keywords
Cite
@article{arxiv.2005.12024,
title = {Cheeger's energy on the Harmonic Sierpinski Gasket},
author = {Ugo Bessi},
journal= {arXiv preprint arXiv:2005.12024},
year = {2020}
}