Apollonian circle packings: dynamics and number theory

被引:0
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作者
Hee Oh
机构
[1] Yale University,Mathematics Department
[2] Korea Institute for Advanced Study,undefined
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关键词
Apollonian circle packing; expander; thin group; geometrically finite group; equidistribution; 11N45; 37F35; 22E40;
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摘要
We give an overview of various counting problems for Apollonian circle packings, which turn out to be related to problems in dynamics and number theory for thin groups. This survey article is an expanded version of my lecture notes prepared for the 13th Takagi Lectures given at RIMS, Kyoto in the fall of 2013.
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页码:69 / 97
页数:28
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