关于由Hénon类型图生成的高秩自由群的全纯动力学与随机动力学
动力系统
2026-02-03 v1
摘要
我们研究由两个Hénon类型图生成的秩为2的自由群的全纯动力学与随机动力学。对于这些简单构造的例子，我们证明了Falou集合非空，并且 stationary measures受限于紧凑集合。通过进一步的细致处理，这允许我们构建没有stationary measures的例子。这些例子说明在研究非紧致流形上的全纯群作用时可能出现的现象类型。
引用
@article{arxiv.2602.02324,
title = {On the Holomorphic and Random Dynamics for some examples of higher rank Free Groups generated by H\'enon type maps},
author = {Andres Enrique Quintero Santander},
journal= {arXiv preprint arXiv:2602.02324},
year = {2026}
}
备注
This is the author's accepted manuscript of the contribution. The Version of Record of this contribution will be published in Analysis and PDE in Developing Countries: Proceedings of the ISAAC-ICMAM Conference, 2025. The Version of Record will be made available online upon publication