Circle packings, kissing reflection groups and critically fixed anti-rational maps
FORUM OF MATHEMATICS SIGMA(2022)
摘要
In this article, 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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关键词
37F10, 37F20, 37F32, 37F34, 51F15, 30F40
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