The fractal dimensions of the spectrum of Sturm Hamiltonian

详细信息    查看全文

• 作者：Qing-Hui Liu^a ; ; Yan-Hui Qu^b ; Zhi-Ying Wen^b
• 关键词：28A78 ; 37C45 ; 81Q10
• 刊名：Advances in Mathematics
• 出版年：1 June, 2014
• 年：2014
• 卷：257
• 期：Complete
• 页码：285-336
• 全文大小：566 K

文摘

dimH危伪,V=s鈦?V)anddim炉B危伪,V=s鈦?V),We also show the following results: and are Lipschitz continuous on any bounded interval of ; the limits and exist as V tends to infinity, and the limits are constants only depending on 伪; if and only if , which can be compared with the fact: if and only if (Liu and Wen, 2004) .