... DIMENSION OF FRACTAL MEASURE ASSOCIATED WITH THE (0, 1 ,a) -PROBLEM:THECASEa =6 Le Xuan Son, Pham Quang TrinhVinh Univ ersity, Nghe AnVu Hong ThanhPedagogical College of Nghe AnAbstract.Let X1,X2, ... Describle the local dimension for the (0, 1 ,a )- problem, where a ∈ N is a naturalnumber.Note that the local dimension is an important characteristic of singular measures.For a =3 k +2 the measure ... i.i.d random variables e ach taking values 0, 1, 6 with equal probability 1/3. Let S = ∞n=13−nXn, Sn = ni=13−iXibe the n-partialsum of S, and let à, ànbe the probability measures...