PreprintCC BY 4.0arXiv
On the uniqueness of p-energy on the Sierpiński carpet
Abstract
For any p∈(1,+∞), it is proved that the self-similar p-energy on the Sierpiński carpet is unique, up to multiplication by a positive constant.
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BibTeX
@misc{yang2026uniqueness,
title = {{On the uniqueness of $p$-energy on the Sierpiński carpet}},
author = {Meng Yang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.26720},
eprint = {2610.26720},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.26720},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - On the uniqueness of p-energy on the Sierpiński carpet
AU - Meng Yang
PY - 2026
DA - 2026/10/19
PB - arXiv
DO - 10.48550/arxiv.2610.26720
UR - https://arxiv.org/abs/2610.26720
AB - For any p∈(1,+∞), it is proved that the self-similar p-energy on the Sierpiński carpet is unique, up to multiplication by a positive constant.
ER -