Absolute continuity of Bernoulli convolutions for algebraic parameters

Abstract

We prove that Bernoulli convolutions are absolutely continuous provided the parameter lambda is an algebraic number sufficiently close to 1 depending on the Mahler measure of lambda.

58 pages; version accepted for publication in J. Amer. Math. Soc.; minor corrections based on referees' reports; results and proofs are not changed

References in corpus (1)

• Quantitative Density under Higher Rank Abelian Algebraic Toral Actions

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