Counting, Mixing and Equidistribution of horospheres in geometrically finite rank one locally symmetric manifolds

Counting, Mixing and Equidistribution of horospheres in geometrically finite rank one locally symmetric manifolds
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几何有限一阶局部对称流形中星球面的计数、混合和均匀分布

DOI:
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发表时间:
2011
期刊:
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通讯作者:
Inkang Kim
Inkang Kim
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文献类型:
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作者:
Inkang Kim

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本文研究了无限体积几何有限秩一局部对称流形中膨胀球的等分布,并将其应用于apollonian球packing中的轨道计数问题。
In this paper we study the equidistribution of expanding horospheres in infinite volume geometrically finite rank one locally symmetric manifolds and apply it to the orbital counting problem in apollonian sphere packing.