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

• 成果类型: Article
• 署名作者: Bourgain, Jean; Gamburd, Alex
• 署名单位: Institute for Advanced Study - USA; University of California System; University of California Santa Cruz; University of California System; University of California Santa Cruz
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-007-0072-z
• 发表日期: 2008
• 页码: 83-121
• 关键词: invariant

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.