{"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}
引用次数: 1
Abstract
We show that the topological entropy of the billiard map in a Bunimovich stadium is at most \(\log (3.49066)\).
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.