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arxiv: 1608.02881 · v1 · pith:CKH5DJRYnew · submitted 2016-08-08 · 🧮 math.CO

A badly expanding set on the 2-torus

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keywords bmatrixbeginbadlyconjecturecounterexampleexpandingexpansiongive
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We give a counterexample to a conjecture stated in Linial and London 2006 regarding expansion on $\mathbb{T}^2$ under $\begin{bmatrix}1&1\\ 0&1\end{bmatrix}$ and $\begin{bmatrix}1&0\\ 1&1\end{bmatrix}$.

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