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Distance set problem and weighted Fourier extension estimates
Special Events| Speaker: | E. Burak Erdogan, UC Berkeley |
| Location: | 693 Kerr |
| Start time: | Thu, Feb 19 2004, 4:10PM |
Description
Falconer's distance set conjecture states that if a compact subset $E$ of $\mathbb{R}^d$ ($d>1$) has Hausdorff dimension greater than $d/2$ then its
distance set, $D(E):=\{|x-y|:x,y\in E\}$, has positive Lebesgue measure.
In this lecture, we will discuss the recent progress in this conjecture
and closely related Fourier extension estimates relative to fractal
measures.