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arXiv · 1111.3067

A factor of i.i.d with uniform marginals and infinite clusters spanned by equal labels

Péter Mester
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Abstract

We give an example of an $\mathsf{FIID}$ vertex-labeling of $\mathbb{T}_3$ whose marginals are uniform on $[0,1]$, and if we delete the edges between those vertices whose labels are different, then some of the remaining clusters are infinite.

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Péter Mester. 2011-11-13. A factor of i.i.d with uniform marginals and infinite clusters spanned by equal labels. https://arxiv.org/abs/1111.3067

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