{"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":50894,"journal":{"name":"Acta Mathematica Hungarica","volume":"171 2","pages":"334 - 347"},"PeriodicalIF":0.6000,"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\":50894,\"journal\":{\"name\":\"Acta Mathematica Hungarica\",\"volume\":\"171 2\",\"pages\":\"334 - 347\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2023-12-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta Mathematica Hungarica\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10474-023-01386-8\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mathematica Hungarica","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10474-023-01386-8","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","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.
期刊介绍：
Acta Mathematica Hungarica is devoted to publishing research articles of top quality in all areas of pure and applied mathematics as well as in theoretical computer science. The journal is published yearly in three volumes (two issues per volume, in total 6 issues) in both print and electronic formats. Acta Mathematica Hungarica (formerly Acta Mathematica Academiae Scientiarum Hungaricae) was founded in 1950 by the Hungarian Academy of Sciences.
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