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SUMMARY:Bernoulli convolutions for algebraic parameters - Dr Peter Varju\,
  University of Cambridge 
DTSTART:20141118T163000Z
DTEND:20141118T173000Z
UID:TALK55921@talks.cam.ac.uk
CONTACT:37296
DESCRIPTION: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 <1/2\, then the Bernoulli\nconvo
 lution is singular and is supported on a Cantor set. If 1> lambda > 1/2\, 
 the question whether the Bernoulli convolution is singular or a.c. is a ve
 ry interesting open problem. Recent papers of Hochman and\nShmerkin 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 al
 gebraic. Work in progress\, joint with\nEmmanuel Breuillard.
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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