sofic度量平均维数与sofic p-度量平均维数的等价性及乘积公式
经典分析与常微分方程
2025-11-14 v2 动力系统
摘要
本文证明了sofic p-度量平均维数与sofic度量平均维数之间的等价性。这回答了Hayes在文献\cite{HB}中提出的问题。此外，我们建立了sofic p-度量平均维数的乘积公式。
关键词
引用
@article{arxiv.2503.02347,
title = {Equivalence between sofic metric mean dimension and sofic $p$-metric mean dimension with a product formula},
author = {Xianqiang Li},
journal= {arXiv preprint arXiv:2503.02347},
year = {2025}
}
备注
A critical and irreparable error has been discovered in the proof of the paper's central theorem. This error fundamentally undermines the primary conclusion of the work. Given the severity of this issue, I believe it is necessary to withdraw the paper entirely to avoid disseminating incorrect results