7 citations · 31 across the 23 of their papers we have counts for
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math.CO2017
High dimensional expanders and coset geometries
Tali Kaufman, Izhar Oppenheim
High dimensional expanders is a vibrant emerging field of study. Nevertheless, the only known construction of bounded degree high dimensional expanders is based on Ramanujan comple…
math.CO2017
Local spectral expansion approach to high dimensional expanders part I: Descent of spectral gaps
Izhar Oppenheim
This paper introduces the notion of local spectral expansion of a simplicial complex as a possible analogue of spectral expansion defined for graphs. We then show that the conditio…
math.CO2017
High Order Random Walks: Beyond Spectral Gap
Tali Kaufman, Izhar Oppenheim
We study high order random walks in high dimensional expanders; namely, in complexes which are local spectral expanders. Recent works have studied the spectrum of high order walks…