4 citations · 7 across the 4 of their papers we have counts for
7 papers
New cosystolic high-dimensional expanders from KMS groups
Izhar Oppenheim, Inga Valentiner-Branth
Cosystolic expansion is a high-dimensional generalization of the Cheeger constant for simplicial complexes. Originally, this notion was motivated by the fact that it implies the to…
Coboundary expansion of coset complexes
Tali Kaufman, Izhar Oppenheim, Shmuel Weinberger
Coboundary expansion is a high dimensional generalization of the Cheeger constant to simplicial complexes. Originally, this notion was motivated by the fact that it implies topolog…
Banach fixed point property for Steinberg groups over commutative rings
Izhar Oppenheim
The main result of this paper is that all affine isometric actions of higher rank Steinberg groups over commutative rings on uniformly convex Banach spaces have a fixed point. We c…
Banach Zuk's criterion for partite complexes with application to random groups
Izhar Oppenheim
We prove a Banach version of Żuk's criterion for groups acting on partite simplicial complexes. Using this new criterion we derive a new fixed point theorem for random groups in th…
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…