Convolutions of Equicontractive Self-similar Measures on the Line
نویسندگان
چکیده
Let μ be a self-similar measure on R generated by an equicontractive iterated function system. We prove that the Hausdorff dimension of μ∗n tends to 1 as n tends to infinity, where μ∗n denotes the n-fold convolution of μ. Similar results hold for the Lq dimension and the entropy dimension of μ∗n.
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