| dc.contributor.author | Fu, Yuqiu | |
| dc.contributor.author | Gan, Shengwen | |
| dc.contributor.author | Ren, Kevin | |
| dc.date.accessioned | 2022-07-11T13:39:15Z | |
| dc.date.available | 2022-07-11T13:39:15Z | |
| dc.date.issued | 2022-07-01 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/143627 | |
| dc.description.abstract | Abstract
We study the
$$\delta $$
δ
-discretized Szemerédi–Trotter theorem and Furstenberg set problem. We prove sharp estimates for both two problems assuming tubes satisfy some spacing condition. For both problems, we construct sharp examples that share common features. | en_US |
| dc.publisher | Springer US | en_US |
| dc.relation.isversionof | https://doi.org/10.1007/s00041-022-09953-3 | en_US |
| dc.rights | Creative Commons Attribution | en_US |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | en_US |
| dc.source | Springer US | en_US |
| dc.title | An Incidence Estimate and a Furstenberg Type Estimate for Tubes in $$\mathbb {R}^2$$ R 2 | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Journal of Fourier Analysis and Applications. 2022 Jul 01;28(4):59 | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | |
| dc.identifier.mitlicense | PUBLISHER_CC | |
| dc.eprint.version | Final published version | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dc.date.updated | 2022-07-03T03:12:45Z | |
| dc.language.rfc3066 | en | |
| dc.rights.holder | The Author(s) | |
| dspace.embargo.terms | N | |
| dspace.date.submission | 2022-07-03T03:12:45Z | |
| mit.license | PUBLISHER_CC | |
| mit.metadata.status | Authority Work and Publication Information Needed | en_US |
