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The central limit theorem for eigenvalues
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2020-12-07 , DOI: 10.1090/proc/15226
Richard Aoun

Abstract:We prove that the spectral radius of a strongly irreducible random walk on $ \mathrm {GL}_d(\mathbb{R})$ (or more generally the vector of moduli of eigenvalues of a Zariski-dense random walk on a linear reductive group) satisfies a central limit theorem under an order two moment assumption.


中文翻译:

特征值的中心极限定理

摘要:我们证明了一个强不可约随机游动的谱半径(或更一般地说是线性还原群上Zariski密集游动的特征值模向量)在一个有阶二阶矩假设下满足中心极限定理。 $ \ mathrm {GL} _d(\ mathbb {R})$
更新日期:2021-01-11
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