Dirichlet forms on unconstrained Sierpinski carpets
Functional Analysis
2024-03-27 v2 Probability
Abstract
We construct symmetric self-similar Dirichlet forms on unconstrained Sierpinski carpets, which are natural extension of planar Sierpinski carpets by allowing the small cells to live off the grids. The intersection of two cells can be a line segment of irrational length, and the non-diagonal assumption is dropped in this recurrent setting.
Keywords
Cite
@article{arxiv.2104.01529,
title = {Dirichlet forms on unconstrained Sierpinski carpets},
author = {Shiping Cao and Hua Qiu},
journal= {arXiv preprint arXiv:2104.01529},
year = {2024}
}
Comments
39 pages, 6 figures. We divide the old version into two parts. This updated version is the first part