In this paper, we will study the Beurling dimension of spectra for Moran measures defined by infinite convolution of discrete measures μb,D,{nj}=δb−n1D∗δb−(n1+n2)D∗δb−(n1+n2+n3)D∗. We obtain the upper and lower bounds of the dimension. More precisely, the upper bound is the Hausdorff dimension of the compact support of μb,D,{nj} and the lower bound is 0. The bounds are attained in special cases and some examples are given...
