Geodesic
Absolute continuity of Bernoulli convolutions for algebraic parameters
Varjú, Péter1
1Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WA, United Kingdom
Journal of the American Mathematical Society, Tome 32 (2019) no. 2, pp. 351-397

Voir la notice de l'article provenant de la source American Mathematical Society

We prove that Bernoulli convolutions $\mu _\lambda$ are absolutely continuous provided the parameter $\lambda$ is an algebraic number sufficiently close to $1$ depending on the Mahler measure of $\lambda$.
DOI : 10.1090/jams/916

Varjú, Péter  1

1 Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WA, United Kingdom 
Varjú, Péter. Absolute continuity of Bernoulli convolutions for algebraic parameters. Journal of the American Mathematical Society, Tome 32 (2019) no. 2, pp. 351-397. doi: 10.1090/jams/916
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