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arXiv · 1811.00468

The stability of finite sets in dyadic groups

Tom Sanders
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Abstract

We show that there is an absolute $c>0$ such that any subset of $\mathbb{F}_2^\infty$ of size $N$ is $O(N^{1-c})$-stable in the sense of Terry and Wolf. By contrast a size $N$ arithmetic progression in the integers is not $N$-stable.

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Tom Sanders. 2019-08-06. The stability of finite sets in dyadic groups. https://doi.org/10.4064/aa181101-11-6

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