Report
Density estimates of 1-avoiding sets via higher order correlations
| العنوان: | Density estimates of 1-avoiding sets via higher order correlations |
|---|---|
| المؤلفون: | Ambrus, Gergely, Matolcsi, Máté |
| المصدر: | Discrete and Computational Geometry, 2020 |
| سنة النشر: | 2018 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Metric Geometry, 42B05, 52C10, 52C17, 90C05 |
| الوصف: | We improve the best known upper bound on the density of a planar measurable set A containing no two points at unit distance to 0.25442. We use a combination of Fourier analytic and linear programming methods to obtain the result. The estimate is achieved by means of obtaining new linear constraints on the autocorrelation function of A utilizing triple-order correlations in A, a concept that has not been previously studied. Comment: 11 pages, 2 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/s00454-020-00263-3 |
| URL الوصول: | http://arxiv.org/abs/1809.05453 |
| رقم الانضمام: | edsarx.1809.05453 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/s00454-020-00263-3 |
|---|