Recent progress on the Kakeya conjecture
Classical Analysis and ODEs
2007-05-23 v2
Abstract
The purpose of this article is to survey the developments on the Kakeya problem in recent years, concentrating on the period after the excellent 1999 survey of Wolff, and including some recent work by the authors. We will focus on the standard Kakeya problem for line segments and not discuss other important variants (such as Kakeya estimates for circles, light rays, or -planes).
Keywords
Cite
@article{arxiv.math/0010069,
title = {Recent progress on the Kakeya conjecture},
author = {Nets Katz and Terence Tao},
journal= {arXiv preprint arXiv:math/0010069},
year = {2007}
}
Comments
15 pages, no figures, El Escorial 2000 conference proceedings. References updated slightly