Random matrix theory over finite fields: a survey
Group Theory
2007-05-23 v2 Combinatorics
Probability
Abstract
First we survey generating function methods for obtaining useful probability estimates about random matrices in the finite classical groups. Then we describe a probabilistic picture of conjugacy classes which is coherent and beautiful. Connections are made with symmetric function theory, Markov chains, potential theory, Rogers-Ramanujan type identities, quivers, and various measures on partitions.
Cite
@article{arxiv.math/0003195,
title = {Random matrix theory over finite fields: a survey},
author = {Jason Fulman},
journal= {arXiv preprint arXiv:math/0003195},
year = {2007}
}
Comments
This is much improved--less biased toward my own work and more substance