{"title":"论对称积上诱导映射的多项式熵","authors":"M. Ðorić, J. Katić, B. Lasković","doi":"10.1007/s10474-023-01386-8","DOIUrl":null,"url":null,"abstract":"<div><p>We give a lower bound for the polynomial entropy of the induced map on an <span>\\(n\\)</span> -fold symmetric product of <span>\\(X\\)</span> , for a homeomorphism <span>\\(f\\)</span> with at least one wandering point, on a compact space \n<span>\\(X\\)</span>. Also, we compute some polynomial entropies using this result.\n</p></div>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-12-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Polynomial Entropy Of Induced Maps On Symmetric Products\",\"authors\":\"M. Ðorić, J. Katić, B. Lasković\",\"doi\":\"10.1007/s10474-023-01386-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We give a lower bound for the polynomial entropy of the induced map on an <span>\\\\(n\\\\)</span> -fold symmetric product of <span>\\\\(X\\\\)</span> , for a homeomorphism <span>\\\\(f\\\\)</span> with at least one wandering point, on a compact space \\n<span>\\\\(X\\\\)</span>. Also, we compute some polynomial entropies using this result.\\n</p></div>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2023-12-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10474-023-01386-8\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10474-023-01386-8","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On Polynomial Entropy Of Induced Maps On Symmetric Products
We give a lower bound for the polynomial entropy of the induced map on an \(n\) -fold symmetric product of \(X\) , for a homeomorphism \(f\) with at least one wandering point, on a compact space
\(X\). Also, we compute some polynomial entropies using this result.
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