Given a set E of Hausdorff dimension s>d/2 in ?d , Falconer
conjectured that its distance set ?(E)={|x?y|:x,y?E} should have
positive Lebesgue measure. When d is even, we show that
dimHE>d/2+1/4 implies |?(E)|>0. This improves upon the work
of Wolff...