超越整函数半群的动力学 II
动力系统
2015-12-02 v4
摘要
我们利用 Fatou-Julia 理论引入了超越整函数半群的逃逸集概念。将与单个超越整函数迭代相关的逃逸集的若干结果推广到了超越半群。我们还研究了共轭半群和阿贝尔超越半群的逃逸集性质。给出了几类满足 Eremenko 猜想的超越半群。
引用
@article{arxiv.1401.0425,
title = {The dynamics of semigroups of transcendental entire functions II},
author = {Dinesh Kumar and Sanjay Kumar},
journal= {arXiv preprint arXiv:1401.0425},
year = {2015}
}
备注
14 pages. Accepted for publication in Indian J. Pure Appl. Math.(2015). arXiv admin note: text overlap with arXiv:1405.0224, arXiv:1406.2453