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有限域上的随机矩阵理论综述

Random matrix theory over finite fields: a survey

Jason Fulman

摘要:

本文首先综述了有限典型群中随机矩阵概率估计的生成函数方法。然后,我们描述了共轭类的概率图像是连贯的和美丽的。连接与对称函数理论,马尔可夫链,位势论,罗杰斯-拉马努金型身份,颤抖,和各种措施分区。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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