On the spectral gap for finitely-generated subgroups of SU(2)

被引：87

作者：

Bourgain, Jean ^{[1
]}

Gamburd, Alex

机构：

[1] Inst Adv Study, Sch Math, Princeton, NJ 08540 USA

[2] Univ Calif Santa Cruz, Sch Math, Inst Adv Study, Santa Cruz, CA 95064 USA

[3] Univ Calif Santa Cruz, Dept Math, Santa Cruz, CA 95064 USA

来源：

INVENTIONES MATHEMATICAE | 2008年 / 171卷 / 01期

关键词：

D O I：

10.1007/s00222-007-0072-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the spectral gap property for free subgroups of SU(2) generated by elements satisfying a noncommutative diophantine property, in particular for free subgroups generated by elements with algebraic entries.

引用

页码：83 / 121

页数：39

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