87 citations · 454 across the 24 of their papers we have counts for
6 papers · 1 filter
On tensor products of semistable lattices
Ehud de Shalit, Ori Parzanchevski
We give an elementary proof of low rank cases of the conjecture that the tensor product of two semistable Euclidean lattices is again semistable.
Simplicial complexes: spectrum, homology and random walks
Ori Parzanchevski, Ron Rosenthal
Random walks on a graph reflect many of its topological and spectral properties, such as connectedness, bipartiteness and spectral gap magnitude. In the first part of this paper we…
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.…
Isoperimetric Inequalities in Simplicial Complexes
Ori Parzanchevski, Ron Rosenthal, Ran J. Tessler
In graph theory there are intimate connections between the expansion properties of a graph and the spectrum of its Laplacian. In this paper we define a notion of combinatorial expa…
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…