Local Spectral Expansion Approach to High Dimensional Expanders Part II: Mixing and Geometrical Overlapping

被引：0
|
作者：
Izhar Oppenheim
机构：
[1] Ben-Gurion University of the Negev,Department of Mathematics
来源：
Discrete & Computational Geometry | 2020年 / 64卷
关键词：
Mixing; Simplicial complexes; High dimensional expanders; Geometrical overlapping; Primary 05E45, Secondary 05A20; 05C81;
D O I：
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学科分类号：
摘要：
We further explore the local-to-global approach for expansion of simplicial complexes that we call local spectral expansion. Specifically, we prove that local expansion in the links implies the global expansion phenomena of mixing and geometric overlapping. Our mixing results also give tighter bounds on the error terms compared to previously known results.
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页码：1023 / 1066
页数：43
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