87 citations · 454 across the 24 of their papers we have counts for
Showing 2018Show all
3 papers · 1 filter
math.NT2018★ 10 cited
Ramanujan complexes and Golden Gates in PU(3)
Shai Evra, Ori Parzanchevski
In a seminal series of papers from the 80's, Lubotzky, Phillips and Sarnak applied the Ramanujan-Petersson Conjecture for (Deligne's theorem), to a special family of arith…
math.CO2018★ 10 cited
Ramanujan Graphs and Digraphs
Ori Parzanchevski
Ramanujan graphs have fascinating properties and history. In this paper we explore a parallel notion of Ramanujan digraphs, collecting relevant results from old and recent papers,…
math.GR2018★ 9 cited
Aldous' Spectral Gap Conjecture for Normal Sets
Ori Parzanchevski, Doron Puder
Let denote the symmetric group on elements, and a symmetric subset of permutations. Aldous' spectral gap conjecture, proved by Caputo, Liggett and Rich…