7 citations · 31 across the 23 of their papers we have counts for
4 papers · 1 filter
High dimensional analogue of metric distortion for simplicial complexes
Izhar Oppenheim
We suggest a new possible high dimensional analogue to metric distortion. We then show a possible method for providing lower bounds to this distortion and use this method to prove…
Local spectral expansion approach to high dimensional expanders
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 show the condition of local…
Surface subgroups for lattices in Fuchsian buildings
David Constantine, Jean-Francois Lafont, Izhar Oppenheim
We consider finite 2-dimensional polyhedral complexes, equipped with piecewise non-positively curved, locally CAT(0) metrics. We give conditions on the complex X that ensure that i…
An intermediate quasi-isometric invariant between subexponential asymptotic dimension growth and Yu's Property A
Izhar Oppenheim
We present the notion of asymptotically large depth for a metric space which is (a priory) weaker than having subexponential asymptotic dimension growth and (a priory) stronger tha…