Beurling dimension and a class of Moran measures

摘要

In this paper, we will study the Beurling dimension of spectra for Moran measures defined by infinite convolution of discrete measures @@@ [GRAPHICS] @@@ We obtain the upper and lower bounds of the dimension. More precisely, the upper bound is the Hausdorff dimension of the compact support of mu(b,D,{nj}) and the lower bound is 0. The bounds are attained in special cases and some examples are given to explain our theory.

关键词