| dc.creator | Shmerkin, Pablo Sebastian | |
| dc.date.accessioned | 2021-01-18T13:15:22Z | |
| dc.date.accessioned | 2022-10-14T22:12:18Z | |
| dc.date.available | 2021-01-18T13:15:22Z | |
| dc.date.available | 2022-10-14T22:12:18Z | |
| dc.date.created | 2021-01-18T13:15:22Z | |
| dc.date.issued | 2019-04-17 | |
| dc.identifier | Shmerkin, Pablo Sebastian; On the Hausdorff dimension of pinned distance sets; Hebrew Univ Magnes Press; Israel Journal Of Mathematics; 230; 2; 17-4-2019; 949-972 | |
| dc.identifier | 0021-2172 | |
| dc.identifier | http://hdl.handle.net/11336/122819 | |
| dc.identifier | CONICET Digital | |
| dc.identifier | CONICET | |
| dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4312555 | |
| dc.description.abstract | We prove that if A is a Borel set in the plane of equal Hausdorff and packing dimension s > 1, then the set of pinned distances {|x − y| : y ∈ A} has full Hausdorff dimension for all x outside of a set of Hausdorff dimension 1 (in particular, for many x ∈ A). This verifies a strong variant of Falconer’s distance set conjecture for sets of equal Hausdorff and packing dimension, outside the endpoint s = 1. | |
| dc.language | eng | |
| dc.publisher | Hebrew Univ Magnes Press | |
| dc.relation | info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/10.1007/s11856-019-1847-9 | |
| dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s11856-019-1847-9 | |
| dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | Distance sets | |
| dc.subject | Hausdorff dimension | |
| dc.title | On the Hausdorff dimension of pinned distance sets | |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:ar-repo/semantics/artículo | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
