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Random matrix theory over finite fields: a survey

Jason Fulman
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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.

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Jason Fulman. 2001-03-27. Random matrix theory over finite fields: a survey. https://arxiv.org/abs/math/0003195

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