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Coin tossing and sum sets
Published online by Cambridge University Press: 09 April 2009
Abstract
We consider the distribution μ of numbers whose binary digits are generated from infinitely many tosses of a biased coin. It is shown that, if E has positive μ measure, then some n-fold sum of E with itself must contain an interval. This contrasts with the known result that all convolution powers of μ are singular.
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- Copyright © Australian Mathematical Society 1987
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