高维展开子的局部谱展开方法--II：混合与几何重叠
Local Spectral Expansion Approach to High Dimensional Expanders Part II: Mixing and Geometrical overlapping
摘要：
在本文中，我们进一步探讨了局部到整体的方法展开的单纯复形，我们称之为局部谱展开。具体地说，我们证明了局部膨胀的链接意味着混合和几何重叠的全球扩张现象。我们的混合结果也给出了更严格的边界上的误差项相比，以前已知的结果。
英文摘要：
In this paper, 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 imply 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
