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SUMMARY:Local dimensions\, Bernoulli convolutions and self-affine measures
  - Thomas Jordan\, University of Bristol
DTSTART:20130227T160000Z
DTEND:20130227T170000Z
UID:TALK42272@talks.cam.ac.uk
CONTACT:Yonatan Gutman
DESCRIPTION:In this talk I'll look at local dimensions for certain self af
 fine and self similar measures. Local dimensions look at the local scaling
  property of a measure and may take very different values for different po
 ints. I'll start by describing one well known situation where this is the 
 case\, that is for self-simialr measures satisfying the open set condition
 . I'll then turn attention to two variants of this case\, one will be Bern
 oulli convolutions and the other will be certain self-affine measures whic
 h project to Bernoulli convolutions. All new results described are joint w
 ith Pablo Shmerkin and Boris Solomyak.
LOCATION:MR11\, CMS
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