{"title":"Frequency dependence of Hölder continuity for quasiperiodic Schrödinger operators","authors":"P. Munger","doi":"10.4171/JFG/68","DOIUrl":null,"url":null,"abstract":"We prove estimates on the Hölder exponent of the density of states measure for discrete Schrödinger operators with potential of the form V (n)= λ (b(n+1)βc−bnβc), with λ large enough, and conclude that for almost all values of β , the density of states measure is not Hölder continuous.","PeriodicalId":48484,"journal":{"name":"Journal of Fractal Geometry","volume":" ","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2018-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.4171/JFG/68","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Fractal Geometry","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4171/JFG/68","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 4
Abstract
We prove estimates on the Hölder exponent of the density of states measure for discrete Schrödinger operators with potential of the form V (n)= λ (b(n+1)βc−bnβc), with λ large enough, and conclude that for almost all values of β , the density of states measure is not Hölder continuous.
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