论文标题

圆形包装,亲吻反射组和急需的反理性地图

Circle packings, kissing reflection groups and critically fixed anti-rational maps

论文作者

Lodge, Russell, Luo, Yusheng, Mukherjee, Sabyasachi

论文摘要

在本文中,我们建立了亲吻反射组和批判性固定的反理性图之间的明确对应关系。使用简单平面图表示的对应关系具有多种动态后果。作为此对应关系的应用,我们为批判性固定的反理性图的几何配合问题提供了完整的答案。

In this paper, we establish an explicit correspondence between kissing reflection groups and critically fixed anti-rational maps. The correspondence, which is expressed using simple planar graphs, has several dynamical consequences. As an application of this correspondence, we give complete answers to geometric mating problems for critically fixed anti-rational maps.

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