Abstract
Let { f i } 1 N be a family of similitudes on R 1 satisfying the strong separation condition and ν the self-similar measure associated with { f i } 1 N and a probability vector ( t 1 , … , t N ) . Let μ be the attracting measure of a condensation system associated with ν, { f i } 1 N and a probability vector ( p 0 , p 1 , … , p N ) . We establish a relationship between the quantization dimension of μ and its mass distribution on cylinder sets.
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