Shigeki AkiyamaInstitute of Mathematics, University of Tsukub, Damien JametUniv. Lorraine, Loria, UMR 7503, Irène MarcoviciUniv Rouen Normandie, CNRS, Normandie Univ LMRS UMR 6085, Mai-Linh Trân-CôngEcole Normale Supérieure de Lyon
{"title":"Self-descriptive Sequences directed by two Periodic Sequences","authors":"Shigeki AkiyamaInstitute of Mathematics, University of Tsukub, Damien JametUniv. Lorraine, Loria, UMR 7503, Irène MarcoviciUniv Rouen Normandie, CNRS, Normandie Univ LMRS UMR 6085, Mai-Linh Trân-CôngEcole Normale Supérieure de Lyon","doi":"arxiv-2406.16391","DOIUrl":null,"url":null,"abstract":"In the present work, we exhibit a class of self-descriptive sequences that\ncan be explicitly computed and whose frequencies are known. In particular, as a\ncorollary of our main result, we prove that the sequence introduced in\n\\citeBJM23 has the expected frequencies of occurrences.","PeriodicalId":501124,"journal":{"name":"arXiv - CS - Formal Languages and Automata Theory","volume":"30 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - CS - Formal Languages and Automata Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2406.16391","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
In the present work, we exhibit a class of self-descriptive sequences that
can be explicitly computed and whose frequencies are known. In particular, as a
corollary of our main result, we prove that the sequence introduced in
\citeBJM23 has the expected frequencies of occurrences.
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