Under local spectral assumptions from Gur et al., the sequential sweep on high-dimensional expanders has spectral gap near 1 and satisfies entropy contraction, generalizing rapid mixing results from Ramanujan complexes.
Banach zuk’s criterion for partit e complexes with application to random groups
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Sequential Sweeps and High Dimensional Expansion
Under local spectral assumptions from Gur et al., the sequential sweep on high-dimensional expanders has spectral gap near 1 and satisfies entropy contraction, generalizing rapid mixing results from Ramanujan complexes.