论文标题

整个先验功能的熵

The entropy of entire transcendental functions

论文作者

Wendt, Markus

论文摘要

我们使用鲍文(Bowen)对拓扑熵的定义和Ahlfors五个岛屿定理以及多项式映射理论,以表明任何整个先验功能的拓扑熵都是无限的。此外,熵集中在没有徘徊域的每个杂形函数的Julia设置上。

We use Bowen's definition of topological entropy and Ahlfors five islands theorem, as well as the theory of polynomial-like mappings, to show that the topological entropy of any entire transcendental function is infinity. In addition the entropy is concentrated on the Julia set for each meromorphic function which has no wandering domains.

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