IDH-Anderson model and density of states measure
Zhang, Lixia1; Wang, Caishi1; Chen, Jinshu2; Ren, Suling3
2025-03-28
在线发表日期2025-03
发表期刊INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS
摘要In this paper, we investigate continuity of the density of state (DoS) measure for the Anderson model on the infinite-dimensional hypercube (IDH), which we call IDH-Anderson model. We first show that the DoS measure for the IDH-Anderson model is weak*-continuous with respect to a single-site probability measure. And then we give a quantitative estimate to the DoS measure, which is weak*-Lipshitz continuous with respect to a single-site probability measure.
关键词Anderson model density of state measure infinite-dimensional hypercube weak*-topology
DOI10.1142/S0219025725500043
收录类别SCIE
ISSN0219-0257
语种英语
WOS研究方向Mathematics ; Physics
WOS类目Mathematics, Applied ; Quantum Science & Technology ; Physics, Mathematical ; Statistics & Probability
WOS记录号WOS:001455321600001
出版者WORLD SCIENTIFIC PUBL CO PTE LTD
原始文献类型Article ; Early Access
EISSN1793-6306
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被引频次[WOS]:0   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.lzufe.edu.cn/handle/39EH0E1M/38931
专题会计学院
统计与数据科学学院
通讯作者Zhang, Lixia
作者单位1.Northwest Normal Univ, Sch Math & Stat, Lanzhou 730070, Gansu, Peoples R China;
2.Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China;
3.Lanzhou Univ Finance & Econ, Sch Stat & Date Sci, Lanzhou 730070, Gansu, Peoples R China
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Zhang, Lixia,Wang, Caishi,Chen, Jinshu,et al. IDH-Anderson model and density of states measure[J]. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS,2025.
APA Zhang, Lixia,Wang, Caishi,Chen, Jinshu,&Ren, Suling.(2025).IDH-Anderson model and density of states measure.INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS.
MLA Zhang, Lixia,et al."IDH-Anderson model and density of states measure".INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS (2025).
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