Abstract

Let M:=M(J,{nk},{ck},{εk(t)}) be the collection of parameterized homogeneous Moran sets with the gap function sequence {εk(t)}k≥1. In this paper, we first give the dimension formulas of the sets in M, and then discuss the continuity of dimensions about t. Finally, we get a condition under which all the parameterized homogeneous Moran sets in M are quasisymmetrically equivalent to each other.

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