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Random matrix theory over finite fields: a survey

· 2000 · math.GR · arXiv math/0003195

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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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math.CT 1

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2024 1

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Groupoid Cardinality and Random Permutations

math.CT · 2024-12-20 · accept · novelty 6.0

The Cycle Length Lemma for random permutations is derived from an equivalence of groupoids, giving a categorified proof of a known result.

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  • Groupoid Cardinality and Random Permutations math.CT · 2024-12-20 · accept · none · ref 7 · internal anchor

    The Cycle Length Lemma for random permutations is derived from an equivalence of groupoids, giving a categorified proof of a known result.