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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.CA2015★ 5 cited
Entropy of Bernoulli convolutions and uniform exponential growth for linear groups
Emmanuel Breuillard, Péter P. Varjú
The exponential growth rate of non polynomially growing subgroups of is conjectured to admit a uniform lower bound. This is known for non-amenable subgroups, while for amena…