{"title":"Inducing countable Lebesgue spectrum","authors":"Fatna Abdedou, Bassam Fayad, Jean-Paul Thouvenot","doi":"arxiv-2409.00396","DOIUrl":null,"url":null,"abstract":"We show that every ergodic dynamical system induces a system with pure\nLebesgue spectrum of infinite multiplicity.","PeriodicalId":501373,"journal":{"name":"arXiv - MATH - Spectral Theory","volume":"8 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Spectral Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.00396","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We show that every ergodic dynamical system induces a system with pure
Lebesgue spectrum of infinite multiplicity.
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