81 citations · 383 across the 34 of their papers we have counts for
4 papers · 1 filter
Word Measures on Symmetric Groups
Liam Hanany, Doron Puder
Fix a word in a free group on generators. A -random permutation in the symmetric group is obtained by sampling independent uniformly random permutations $σ…
A Note on the Trace Method for Random Regular Graphs
Joel Friedman, Doron Puder
The main goal of this note is to illustrate the advantage of analyzing the non-backtracking spectrum of a regular graph rather than the ordinary spectrum. We show that by switching…
A random cover of a compact hyperbolic surface has relative spectral gap
Michael Magee, Frédéric Naud, Doron Puder
Let be a compact connected hyperbolic surface, that is, a closed connected orientable smooth surface with a Riemannian metric of constant curvature -1. For each $n\in\mathbf{N}…
The Asymptotic Statistics of Random Covering Surfaces
Michael Magee, Doron Puder
Let be the fundamental group of a closed connected orientable surface of genus . We develop a new method for integrating over the representation space $\mathbb{X}_{…