标题： 部分刻画余弦瑟斯顿映射 显示英文标题

标题： A Partial Characterization of Cosine Thurston Maps

摘要： 本文中，我们介绍余弦瑟斯顿映射。 特别是，我们构造了余子奇异有限的拓扑余弦映射，并关注那些临界点严格预周期的映射。 我们使用Hubbard、Schleicher和Shishikura的技术证明，如果临界点满足某一条件，则一个余子奇异有限的拓扑余弦映射，其临界点严格预周期的，当且仅当它没有退化Levy循环时，与唯一的$C_\lambda(z) = \lambda \cos z$对应的$\lambda \in \mathbb{C}^*$在组合上等价。 显示英文摘要

摘要： In this paper, we introduce cosine Thurston maps. In particular, we construct postsingularly finite topological cosine maps and focus on such maps with strictly preperiodic critical points. We use the techniques of Hubbard, Schleicher, and Shishikura to prove that, subject to a condition on the critical points, a postsingularly finite topological cosine map with strictly preperiodic critical points is combinatorially equivalent to $C_\lambda(z) = \lambda \cos z$ for a unique $\lambda \in \mathbb{C}^*$ if only if it has no degenerate Levy cycle.