Recent work connected with the Kakeya problem

By T. Wolff. 2007

316 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Improved lower bound on the size of Kakeya sets over finite fields (2008, background): “The question of establishing lower bounds on the size of Kakeya sets was posed in [Wolff 1999].”
On the multilinear restriction and Kakeya conjectures (2005, background): “This problem was observed to be formally related to the Kakeya problem in [36]; in this paper we establish for the first time a rigorous connection between the two problems.”
The Kakeya set and maximal conjectures for algebraic varieties over finite fields (2009, background): “[17] T. Wolff, Recent work connected with the Kakeya problem, Prospects in mathematics (Princeton, NJ, 1996), 129–162, Amer.”
On Furstenberg's intersection conjecture, self-similar measures, and the Lq norms of convolutions (2016, methodology): “More generally, combining Furstenberg’s result with estimates of Wolff [50] on the dimension of sets that contain, for almost every v ∈ S1, a subset of a line in direction v with Hausdorff dimension at least c, one gets dimH(A ∩ g(B)) ≤ max(dimH(A) + dimH(B)− 1/2, 0).”
Incidence Estimates for Well Spaced Tubes (2019, unknown): “[29], [30], and [32]).”
On the Hausdorff dimension of Furstenberg sets and orthogonal projections in the plane (2021, background): “Wolff [31] introduced what has become known as the Furstenberg set problem.”