Construction of Local Regular Dirichlet Form on the Sierpi\'nski Gasket using $\Gamma$-Convergence
Functional Analysis
2019-07-09 v3
Abstract
We construct a self-similar local regular Dirichlet form on the Sierpi\'nski gasket using -convergence of stable-like non-local closed forms. As a continuation of a recent paper by Grigor'yan and the author, we give the first \emph{unified} purely analytic construction of local regular Dirichlet forms that works both on the Sierpi\'nski gasket and the Sierpi\'nski carpet.
Cite
@article{arxiv.1706.04998,
title = {Construction of Local Regular Dirichlet Form on the Sierpi\'nski Gasket using $\Gamma$-Convergence},
author = {Meng Yang},
journal= {arXiv preprint arXiv:1706.04998},
year = {2019}
}
Comments
16 pages