Displaying similar documents to “Logarithmic asymptotic behaviour of the renormalized G-convolution product in four-dimensional euclidean space”

L q -spectrum of the Bernoulli convolution associated with the golden ratio

Ka-Sing Lau, Sze-Man Ngai (1998)

Studia Mathematica

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Based on a set of higher order self-similar identities for the Bernoulli convolution measure for (√5-1)/2 given by Strichartz et al., we derive a formula for the L q -spectrum, q >0, of the measure. This formula is the first obtained in the case where the open set condition does not hold.