10 citations · 28 across the 11 of their papers we have counts for
4 papers · 1 filter
Polynomial Bogolyubov for special linear groups via tensor rank
Shai Evra, Guy Kindler, Noam Lifshitz
We prove a polynomial Bogolyubov type lemma for the special linear group over finite fields. Specifically, we show that there exists an absolute constant such that if is…
Bounded Degree Cosystolic Expanders of Every Dimension
Shai Evra, Tali Kaufman
In this work we present a new local to global criterion for proving a form of high dimensional expansion, which we term cosystolic expansion. Applying this criterion on Ramanujan c…
Finite quotients of Bruhat-Tits buildings as geometric expanders
Shai Evra
In \cite{FGLNP}, Fox, Gromov, Lafforgue, Naor and Pach, in a respond to a question of Gromov \cite{G}, constructed bounded degree geometric expanders, namely, simplical complexes h…
Mixing properties and the chromatic number of Ramanujan complexes
Shai Evra, Konstantin Golubev, Alexander Lubotzky
Ramanujan complexes are high dimensional simplical complexes generalizing Ramanujan graphs. A result of Oh on quantitative property (T) for Lie groups over local fields is used to…