无穷维 Thurston 理论与超越动力学 II：具有逃逸奇异轨道的整函数分类
动力系统
2025-07-29 v5
摘要
我们对由多项式与指数函数复合而成、且所有奇异值沿互不相交射线逃逸的超越整函数进行分类。该构造涉及无穷维 Teichmüller 空间上的迭代过程，类似于 Thurston 关于有理函数的经典拓扑刻画定理，但针对无穷多个标记点。
引用
@article{arxiv.2102.10728,
title = {Infinite-dimensional Thurston theory and transcendental dynamics II: classification of entire functions with escaping singular orbits},
author = {Konstantin Bogdanov},
journal= {arXiv preprint arXiv:2102.10728},
year = {2025}
}
备注
26 pages, 0 figures, accepted manuscript: minor improvements throughout the article, some proofs slightly upgraded. This article draws heavily from arXiv:2102.00300