Berry-Esseen type bounds for the matrix coefficients and the spectral radius of the left random walk on GLd(R)

被引：7

作者：

Cuny, Christophe ^{[1
]}

Dedecker, Jerome ^{[2
]}

Merlevede, Florence ^{[3
]}

Peligrad, Magda ^{[4
]}

机构：

[1] Univ Brest, UMR 6205 CNRS, LMBA, 6 Ave Victor Gorgeu, F-29238 Brest, France

[2] Univ Paris Cite, UMR 8145 CNRS, 45 Rue Saints Peres, F-75006 Paris, France

[3] Univ Gustave Eiffel, Univ Paris Est Creteil, UMR 8050 CNRS, LAMA, F-77454 Marne La Vallee, France

[4] Univ Cincinnati, Dept Math Sci, Box 210025, Cincinnati, OH USA

来源：

COMPTES RENDUS MATHEMATIQUE | 2022年 / 360卷 / 01期

关键词：

MODERATE DEVIATIONS; PRODUCTS; THEOREMS;

D O I：

10.5802/crmath.312

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give rates of convergence in the Central Limit Theorem for the matrix coefficients and the spectral radius of the left random walk on GL(d) (R), assuming the existence of an exponential or polynomial moment.

引用

页码：475 / 482

页数：8

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