The 123 Theorem and its extensions (1995)
Cached
Download Links
- [www.math.tau.ac.il]
- [www.cs.tau.ac.il]
- [www.math.tau.ac.il]
- [www.math.tau.ac.il]
- DBLP
Other Repositories/Bibliography
by
Noga Alon
,
Raphael Yuster
| Venue: | J. COMBINATORIAL THEORY SER. A |
| Citations: | 2 - 1 self |
BibTeX
@ARTICLE{Alon95the123,
author = {Noga Alon and Raphael Yuster},
title = {The 123 Theorem and its extensions},
journal = {J. COMBINATORIAL THEORY SER. A},
year = {1995},
volume = {72},
pages = {322--331}
}
Bookmark
 |
 |
 |
 |
 |
 |
OpenURL
Abstract
It is shown that for every b ? a ? 0 and for every two independent identically distributed real random variables X and Y P rob[jX \Gamma Y j b] ! (2db=ae \Gamma 1)P rob[jX \Gamma Y j a]: This is tight for all admissible pairs a; b. Higher dimensional extensions are also considered.
Citations
| 319 | Sphere packings, Lattices and groups - Conway, Sloane - 1993 |
| 33 | New bounds on the number of unit spheres that can touch a unit sphere in n dimensions - Odlyzko, Sloane |
| 29 | On bounds for packing in n-dimensional Euclidean space - Levenshtein - 1979 |
| 9 | The problem of the thirteen spheres - Leech - 1956 |
| 3 | 1951] Geometrical extrema suggested by a lemma of - Bateman, Erdős |
| 2 | Graphs, vectors, and inequalities in probability theory - Katona - 1969 |
