Dimension estimates on circular (s,t)-Furstenberg sets
| dc.contributor.author | Liu, Jiayin | |
| dc.date.accessioned | 2023-04-04T09:55:50Z | |
| dc.date.available | 2023-04-04T09:55:50Z | |
| dc.date.issued | 2023 | |
| dc.identifier.citation | Liu, J. (2023). Dimension estimates on circular (s,t)-Furstenberg sets. <i>Annales Fennici Mathematici</i>, <i>48</i>(1), 299-324. <a href="https://doi.org/10.54330/afm.128073" target="_blank">https://doi.org/10.54330/afm.128073</a> | |
| dc.identifier.other | CONVID_182599802 | |
| dc.identifier.uri | https://jyx.jyu.fi/handle/123456789/86258 | |
| dc.description.abstract | Tässä työssä osoitetaan, että tason R2Furstenbergin (s,t)-ympyräjoukkojen Hausdorffin ulottuvuus on vähintään max{t3+s,(2t+ 1)s−t} kaikilla 0< s,t≤1. Tämä tulos yleistää Wolffin aiemmin todistamia Kakeyan ympyräjoukkojen ulottuvuusarvioita. | fi |
| dc.description.abstract | In this paper, we show that circular(s,t)-Furstenberg sets in R2 have Hausdorff dimension at least max {t3+s,(2t+ 1)s−t} for all 0< s,t≤1.This result extends the previous dimension estimates on circular Kakeya sets by Wolff. | en |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | eng | |
| dc.publisher | Suomen matemaattinen yhdistys ry | |
| dc.relation.ispartofseries | Annales Fennici Mathematici | |
| dc.rights | CC BY-NC 4.0 | |
| dc.subject.other | Furstenberg set | |
| dc.subject.other | circular Furstenberg set | |
| dc.subject.other | Hausdorff dimension | |
| dc.title | Dimension estimates on circular (s,t)-Furstenberg sets | |
| dc.type | article | |
| dc.identifier.urn | URN:NBN:fi:jyu-202304042390 | |
| dc.contributor.laitos | Matematiikan ja tilastotieteen laitos | fi |
| dc.contributor.laitos | Department of Mathematics and Statistics | en |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
| dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | |
| dc.description.reviewstatus | peerReviewed | |
| dc.format.pagerange | 299-324 | |
| dc.relation.issn | 2737-0690 | |
| dc.relation.numberinseries | 1 | |
| dc.relation.volume | 48 | |
| dc.type.version | publishedVersion | |
| dc.rights.copyright | © 2022 Annales Fennici Mathematici | |
| dc.rights.accesslevel | openAccess | fi |
| dc.subject.yso | ulottuvuus | |
| dc.format.content | fulltext | |
| jyx.subject.uri | http://www.yso.fi/onto/yso/p7994 | |
| dc.rights.url | https://creativecommons.org/licenses/by-nc/4.0/ | |
| dc.relation.doi | 10.54330/afm.128073 | |
| dc.type.okm | A1 |
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