“…In the general case λ 1 = λ 2 , much less is known. For p = 1/2, Jörg Neunhäuserer [10] and Sze-Man Ngai and Yang Wang [11] proved that ν 1/2 λ 1 ,λ 2 is absolutely continuous for almost all λ 1 , λ 2 in a certain simply connected region which is very far from covering the whole super-critical parameter region λ 1 λ 2 > 1/4 (which corresponds to s 1/2 λ 1 ,λ 2 > 1), and in particular is disjoint from a neighborhood of (1,1). Ngai and Wang conjectured that, in fact, ν 1/2 λ 1 ,λ 2 is absolutely continuous for almost all λ 1 , λ 2 ∈ (0, 1) such that λ 1 λ 2 > 1/4.…”