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Eigenstripping, Spectral Decay, and Edge-Expansion on Posets
[article]
2023
arXiv
pre-print
We study the relationship between the underlying structure of posets and the spectral and combinatorial properties of their higher-order random walks. While fast mixing of random walks on hypergraphs has led to myriad breakthroughs throughout theoretical computer science in the last five years, many other important applications (e.g. locally testable codes, 2-2 games) rely on the more general non-simplicial structures. These works make it clear that the global expansion properties of posets
arXiv:2205.00644v2
fatcat:3hkcbwekcjgjlfduifa2itgzym