拟共形折叠——《Eremenko-Lyubich类模型》综述
Quasiconformal folding - a review of `Models for the Eremenko-Lyubich class'
- School of Mathematics and Statistics, The Open University(开放大学数学与统计学院)
机构由 AI 辅助整理,请以论文原文为准。
AI总结:
本文综述了Chris Bishop的《Eremenko-Lyubich类模型》论文,介绍其拟共形折叠技术,该技术解决了超越动力学等领域的诸多开放问题。
AI中文摘要:
我们综述了Chris Bishop于2015年发表在《伦敦数学会期刊》上的论文《Eremenko-Lyubich类模型》,这是Bishop获得2024年伦敦数学会高级伯威克奖的两篇该系列论文中的第一篇。该论文属于一系列研究,其中Bishop引入了他的新技术拟共形折叠,该技术改变了构造超越整函数例子的方法范围,解决了许多开放问题,尤其是在超越动力学领域。
英文摘要:
We review the paper `Models for the Eremenko--Lyubich class' by Chris Bishop, which appeared in the Journal of the London Mathematical Society in 2015, the first of two LMS papers for which Bishop received the LMS Senior Berwick Prize in 2024. This is one of a series of papers where Bishop introduced his new technique of quasiconformal folding, which transformed the range of approaches to constructing examples of transcendental entire functions leading to the resolution of many open problems, in particular in transcendental dynamics.