Basic Notions: Mike Hochman "Dimension of Bernoulli convolutions"

Abstract: The Bernoulli convolution with parameter 1/2 < t < 1 is the distribution of the random variable (+/-)t + (+/-)t^2 + (+/-)t^3 + ..., where the sequence of signs +/- form an  unbiased i.i.d. random sequence. This distribution has been studied since the 1930s, and the main problem is to characterize those parameters t for which the distribution is absolutely continuous, or has full dimension. In these talks I will review the history and recent developments, leading up to P. Varju's proof a little over a year ago, that for all transcendental parameters the dimension is 1.

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Meeting ID: 987 6867 5115
Password: 153703

Video of talk :


Thu, 07/05/2020 - 16:00 to 17:15


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