论文标题
功能理论与全体形态动力学之间的相互作用
Interactions between function theory and holomorphic dynamics
论文作者
论文摘要
这是关于ICMS会议“复杂动态的共鸣”，2018年7月9日至13日。三个示例表明动态考虑如何导致复杂功能理论的新结果。这些示例是：a）Wiman-Valiron方法的改进，b）Hayman关于Meromormorphic函数衍生物的价值分布的猜想的证明，以及C）lin和Wang结果的新简化证明了Torus上绿色功能的关键点的数量。
This is a survey talk on the ICMS conference "Resonances of complex dynamics", 9-13 July 2018. Three examples which show how dynamical considerations lead to new results in complex function theory are discussed. These examples are: a) a refinement of of the Wiman-Valiron method, b) the proof of Hayman's conjecture on the value distribution of derivatives of meromorphic functions, and c) a new simplified proof of the result of Lin and Wang on the number of critical points of the Green function on a torus.
