中文

关于具有一点相交性质的分形立方体的双 Lipschitz 分类

度量几何 2022-07-27 v1

摘要

我们证明了具有一点相交性质的 3 阶 7 副本分形立方体有 105 个等距类,其可细分为 5 个树状双 Lipschitz 类与 7 个非树状双 Lipschitz 类。

关键词

引用

@article{arxiv.2207.13023,
  title  = {On Bi-Lipschitz classification of fractal cubes possessing one-point intersection property},
  author = {A. Tetenov and M. Chanchieva and D. Drozdov and D. Rahmanov and V. Safonova and I. Udin and A. Vetrova},
  journal= {arXiv preprint arXiv:2207.13023},
  year   = {2022}
}

备注

The work was supported by the Ministry of Science and Higher Education of Russia (agreement No. 075-02-2022-884)