Abstract
In this paper we consider a general class E of self-similar sets with complete overlaps. Given a self-similar iterated function system Φ=(E,{fi}i=1m)∈E on the real line, for each point x∈E we can find a sequence (ik)=i1i2…∈{1,…,m}N, called a coding of x, such that x=limn→∞fi1∘fi2∘⋯∘fin(0). For k=1,2,…,ℵ0 or 2ℵ0 we investigate
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