Lp-SPECTRUM OF THE BERNOULLI CONVOLUTIONS ASSOCIATED WITH THE P.V. NUMBERS

Abstract

The class of Bernoulli convolutions associated with the P.V. numbers are singular measures. The associated iterated function systems do not satisfy the open set condition and the well-known formula to calculate the L q-spectrum of singular measures does not apply. In this paper we use a Markov matrix technique to obtain an algorithm to calculate the exact L… (More)

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