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DTSTART:19700329T010000
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CATEGORIES:Discrete Analysis Seminar
SUMMARY:On a problem of Erdős on similar copies of sequenc
es in measurable sets - András Máthé\, University
of Warwick
DTSTART;TZID=Europe/London:20130522T160000
DTEND;TZID=Europe/London:20130522T170000
UID:TALK44974AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/44974
DESCRIPTION:More than 40 years ago Erdős asked whether there e
xists an infinite set S of real numbers such that
every measurable set of positive measure contains
a subset similar to S. This question is still open
. It is also open in the case when S is the sequen
ce 1/2^n.\n\nI will review what is known about thi
s problem\, including the finite combinatorial pro
blem to which it can be transformed\, and why sequ
ences converging to zero slower than geometric fai
l.\n\nI will also talk about my contribution that
there exists a sequence S such that every measurab
le set of positive measure contains subsets simila
r to almost every random perturbation of S.
LOCATION:MR11\, CMS
CONTACT:Yonatan Gutman
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