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Re: [harmonic] distance sets for cantor sets
It sounds more like an exercise: If one look on Cd X Cd, then D(Cd) is the
diagonal projection of the set. But on the other side it is a Cantor type
construction (which on each step preserve 3^n intervals of length 2/d^n,
insteed or 2^n for the Cantor set).
> Do you know where i can find a proof for the following statement?
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> Cd the one dimensional cantor set with 0 <d <1/2.Then l(D(Cd))>0 iff
> d >=1/3.Also in that case D(Cd) is an interval.
> l is the lebesgue measure,D the distance set.
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> Yahoo! Groups Links
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