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University of Cambridge > Talks.cam > Discrete Analysis Seminar > On a problem of Erdős on similar copies of sequences in measurable sets

## On a problem of Erdős on similar copies of sequences in measurable setsAdd to your list(s) Download to your calendar using vCal - András Máthé, University of Warwick
- Wednesday 22 May 2013, 16:00-17:00
- MR11, CMS.
If you have a question about this talk, please contact Yonatan Gutman. More than 40 years ago Erdős asked whether there exists 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 sequence 1/2^n. I will review what is 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. I will also talk about my contribution that there exists a sequence S such that every measurable set of positive measure contains subsets similar to almost every random perturbation of S. This talk is part of the Discrete Analysis Seminar series. ## This talk is included in these lists:- All CMS events
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