具有正拓扑熵的广义伪旋转

IF 0.8 3区数学 Q2 MATHEMATICS

Bulletin of the London Mathematical Society Pub Date : 2025-02-19 DOI:10.1112/blms.70021

Erman Çineli

{"title":"具有正拓扑熵的广义伪旋转","authors":"Erman Çineli","doi":"10.1112/blms.70021","DOIUrl":null,"url":null,"abstract":"<p>In this note, we give examples of Hamiltonian diffeomorphisms which are on one hand dynamically complicated, for instance, with positive topological entropy, and on the other hand minimal from the perspective of Floer theory. The minimality is in the sense that the barcode of the Floer complex of all iterates of these maps consists of only infinite bars. In particular, the maps have zero barcode entropy.</p>","PeriodicalId":55298,"journal":{"name":"Bulletin of the London Mathematical Society","volume":"57 4","pages":"1140-1149"},"PeriodicalIF":0.8000,"publicationDate":"2025-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A generalized pseudo-rotation with positive topological entropy\",\"authors\":\"Erman Çineli\",\"doi\":\"10.1112/blms.70021\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this note, we give examples of Hamiltonian diffeomorphisms which are on one hand dynamically complicated, for instance, with positive topological entropy, and on the other hand minimal from the perspective of Floer theory. The minimality is in the sense that the barcode of the Floer complex of all iterates of these maps consists of only infinite bars. In particular, the maps have zero barcode entropy.</p>\",\"PeriodicalId\":55298,\"journal\":{\"name\":\"Bulletin of the London Mathematical Society\",\"volume\":\"57 4\",\"pages\":\"1140-1149\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2025-02-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of the London Mathematical Society\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1112/blms.70021\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of the London Mathematical Society","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1112/blms.70021","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

在这篇文章中，我们给出了哈密顿微分同态的例子，这些例子一方面是动态复杂的，例如，具有正拓扑熵，另一方面从Floer理论的角度来看是最小的。最小的意义在于，这些地图的所有迭代的flower复杂的条形码仅由无限条组成。特别是，这些地图的条码熵为零。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

A generalized pseudo-rotation with positive topological entropy

In this note, we give examples of Hamiltonian diffeomorphisms which are on one hand dynamically complicated, for instance, with positive topological entropy, and on the other hand minimal from the perspective of Floer theory. The minimality is in the sense that the barcode of the Floer complex of all iterates of these maps consists of only infinite bars. In particular, the maps have zero barcode entropy.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊