{"title":"Bunimovich体育场台球地图拓扑熵的一个上界。","authors":"Jernej Činč, Serge Troubetzkoy","doi":"10.1007/s10955-023-03142-2","DOIUrl":null,"url":null,"abstract":"<div><p>We show that the topological entropy of the billiard map in a Bunimovich stadium is at most <span>\\(\\log (3.49066)\\)</span>.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"190 8","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2023-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10449974/pdf/","citationCount":"1","resultStr":"{\"title\":\"An Upper Bound on Topological Entropy of the Bunimovich Stadium Billiard Map\",\"authors\":\"Jernej Činč, Serge Troubetzkoy\",\"doi\":\"10.1007/s10955-023-03142-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We show that the topological entropy of the billiard map in a Bunimovich stadium is at most <span>\\\\(\\\\log (3.49066)\\\\)</span>.</p></div>\",\"PeriodicalId\":667,\"journal\":{\"name\":\"Journal of Statistical Physics\",\"volume\":\"190 8\",\"pages\":\"\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2023-08-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10449974/pdf/\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Statistical Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10955-023-03142-2\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MATHEMATICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Statistical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10955-023-03142-2","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
期刊介绍：
The Journal of Statistical Physics publishes original and invited review papers in all areas of statistical physics as well as in related fields concerned with collective phenomena in physical systems.
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