Random matrix theory over finite fields: a survey

Details Random matrix theory over finite fields: a survey Random matrix theory over finite fields: a survey

2000-03-28

arxiv.org/abs/math/0003195v2

Mathematics

Group Theory

This is much improved--less biased toward my own work and more substance

Scientific paper

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.

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