{"title":"子集上脉冲半流的熵","authors":"Dandan Cheng, Zhiming Li","doi":"10.1007/s10955-024-03351-3","DOIUrl":null,"url":null,"abstract":"<div><p>Based on the theory of Carathéodory structure, this paper introduces several definitions of entropies for impulsive semi-flows on arbitrary subsets. We compare these definitions and establish relations of these definitions. We show an inverse variational principle between topological <span>\\(\\tau \\)</span>-entropy and measure theoretic <span>\\(\\tau \\)</span>-entropy. Moreover, a variational principle of packing <span>\\(\\tau \\)</span> entropy of impulsive semi-flows is established.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"191 10","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2024-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Entropy of Impulsive Semi-flow on Subsets\",\"authors\":\"Dandan Cheng, Zhiming Li\",\"doi\":\"10.1007/s10955-024-03351-3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Based on the theory of Carathéodory structure, this paper introduces several definitions of entropies for impulsive semi-flows on arbitrary subsets. We compare these definitions and establish relations of these definitions. We show an inverse variational principle between topological <span>\\\\(\\\\tau \\\\)</span>-entropy and measure theoretic <span>\\\\(\\\\tau \\\\)</span>-entropy. Moreover, a variational principle of packing <span>\\\\(\\\\tau \\\\)</span> entropy of impulsive semi-flows is established.</p></div>\",\"PeriodicalId\":667,\"journal\":{\"name\":\"Journal of Statistical Physics\",\"volume\":\"191 10\",\"pages\":\"\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2024-10-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Statistical Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10955-024-03351-3\",\"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/s10955-024-03351-3","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}
Based on the theory of Carathéodory structure, this paper introduces several definitions of entropies for impulsive semi-flows on arbitrary subsets. We compare these definitions and establish relations of these definitions. We show an inverse variational principle between topological \(\tau \)-entropy and measure theoretic \(\tau \)-entropy. Moreover, a variational principle of packing \(\tau \) entropy of impulsive semi-flows is established.
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.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
