87 citations · 454 across the 24 of their papers we have counts for
6 papers · 1 filter
Geometry over finite local rings: Rigidity and Isospectrality
Yishai Lavi, Ori Parzanchevski
We study the simplicial order complexes obtained from free modules over finite local rings. These complexes arise naturally as geodesic spheres in Bruhat-Tits buildings over non-ar…
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…
Stallings Graphs, Algebraic Extensions and Primitive Elements in F2
Ori Parzanchevski, Doron Puder
This paper studies the free group of rank two from the point of view of Stallings core graphs. The first half of the paper examines primitive elements in this group, giving new and…
On the Fourier Expansion of Word Maps
Ori Parzanchevski, Gili Schul
Frobenius observed that the number of times an element of a finite group is obtained as a commutator is given by a specific combination of the irreducible characters of the group.…
Measure Preserving Words are Primitive
Doron Puder, Ori Parzanchevski
We establish new characterizations of primitive elements and free factors in free groups, which are based on the distributions they induce on finite groups. For every finite group…
On G-sets and Isospectrality
Ori Parzanchevski
We study finite G-sets and their tensor product with Riemannian manifolds, and obtain results on isospectral quotients and covers. In particular, we show the following: if M is a c…