Convergence of resistances on generalized {S}ierpi\'{n}ski carpets
Probability
2024-02-06 v1
Abstract
We positively answer the open question of Barlow and Bass about the convergence of renormalized effective resistance between opposite faces of Euclidean domains approximating a generalized {S}ierpi\'{n}ski carpet.
Cite
@article{arxiv.2402.01949,
title = {Convergence of resistances on generalized {S}ierpi\'{n}ski carpets},
author = {Shiping Cao and Zhen-Qing Chen},
journal= {arXiv preprint arXiv:2402.01949},
year = {2024}
}