45 citations · 191 across the 18 of their papers we have counts for
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math.CA2016★ 22 cited
On the dimension of Bernoulli convolutions
Emmanuel Breuillard, Péter P. Varjú
The Bernoulli convolution with parameter is the probability measure that is the law of the random variable , where the signs are independent u…
math.CA2016★ 1 cited
Recent progress on Bernoulli convolutions
Péter P. Varjú
The Bernoulli convolution with parameter is the measure on that is the distribution of the random power series , where are independent fair co…
math.CA2016★ 45 cited
Absolute continuity of Bernoulli convolutions for algebraic parameters
Péter P. Varjú
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 lambd…