无理中性吸引子重整化的算术几何模型
动力系统
2023-11-10 v4 泛函分析
摘要
本文为无理中性不动点的重整化建立了一个几何模型。该几何模型融入了不动点处旋转数的精细算术性质。利用此重整化模型，我们建立了全纯映射在无理中性不动点附近动力学的拓扑模型。随后，我们解释了该模型极大不变集的拓扑结构，并说明了映射在极大不变集上的动力学。
引用
@article{arxiv.2112.14557,
title = {Arithmetic geometric model for the renormalisation of irrationally indifferent attractors},
author = {Davoud Cheraghi},
journal= {arXiv preprint arXiv:2112.14557},
year = {2023}
}
备注
73 pages, this article is the first part of the article arXiv:1706.02678, which has been extended to a complete model for the renormalisation. The second part of arXiv:1706.02678 will appear under that title with an updated version. Latest version: Minor modifications following referee comments