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## Bernoulli convolutions for algebraic parametersAdd to your list(s) Download to your calendar using vCal - Dr Peter Varju, University of Cambridge
- Tuesday 18 November 2014, 16:30-17:30
- MR12, CMS, Wilberforce Road, Cambridge, CB3 0WB.
If you have a question about this talk, please contact clc32. The Bernoulli convolution with parameter lambda is the law of the random variable: Sum X_i lambda^i, where X_i are independent unbiased +1/-1 valued random variables. If lambda lambda > 1/2, the question whether the Bernoulli convolution is singular or a.c. is a very interesting open problem. Recent papers of Hochman and Shmerkin prove that the set of lambda’s such that the measure is singular is of Hausdorff dimension 0. I will discuss the problem for parameters lambda that are algebraic. Work in progress, joint with Emmanuel Breuillard. This talk is part of the Probability series. ## This talk is included in these lists:- All CMS events
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