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math.GR2018
Non p-norm approximated Groups
Alexander Lubotzky, Izhar Oppenheim
It was shown in a previous work of the first named author with De Chiffre, Glebsky and Thom that there exists a finitely presented group which cannot be approximated by almost-homo…
math.CO2018
Local Spectral Expansion Approach to High Dimensional Expanders Part II: Mixing and Geometrical overlapping
Izhar Oppenheim
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 expans…