5 papers
The ring of stable characters over
Danielle Ernst-West, Doron Puder, Yotam Shomroni
For a fixed prime power , let denote the family of groups for . In this paper we study the -algebr…
Some Orbits of Free Words that are Determined by Measures on Finite Groups
Liam Hanany, Chen Meiri, Doron Puder
Every word in a free group induces a probability measure on every finite group in a natural manner. It is an open problem whether two words that induce the same measure on ever…
Automorphism-invariant positive definite functions on free groups
Benoît Collins, Michael Magee, Doron Puder
In this article we raise some new questions about positive definite functions on free groups, and explain how these are related to more well-known questions. The article is intende…
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…
Matrix Group Integrals, Surfaces, and Mapping Class Groups I:
Michael Magee, Doron Puder
Since the 1970's, physicists and mathematicians who study random matrices in the GUE or GOE models are aware of intriguing connections between integrals of such random matrices and…