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SUMMARY:On a problem of Erdős on similar copies of sequences in measurabl
 e sets - András Máthé\, University of Warwick
DTSTART:20130522T150000Z
DTEND:20130522T160000Z
UID:TALK44974@talks.cam.ac.uk
CONTACT:Yonatan Gutman
DESCRIPTION:More than 40 years ago Erdős asked whether there exists an in
 finite set S of real numbers such that every measurable set of positive me
 asure contains a subset similar to S. This question is still open. It is a
 lso open in the case when S is the sequence 1/2^n.\n\nI will review what i
 s known about this problem\, including the finite combinatorial problem to
  which it can be transformed\, and why sequences converging to zero slower
  than geometric fail.\n\nI will also talk about my contribution that there
  exists a sequence S such that every measurable set of positive measure co
 ntains subsets similar to almost every random perturbation of S.
LOCATION:MR11\, CMS
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