Proper 3-colorings of are Bernoulli

Gourab Ray, Yinon Spinka

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We consider the unique measure of maximal entropy for proper 3-colorings of, or equivalently, the so-called zero-slope Gibbs measure. Our main result is that this measure is Bernoulli, or equivalently, that it can be expressed as the image of a translation-equivariant function of independent and identically distributed random variables placed on. Along the way, we obtain various estimates on the mixing properties of this measure.

Original languageEnglish
Pages (from-to)2002-2027
Number of pages26
JournalErgodic Theory and Dynamical Systems
Issue number6
StatePublished - 2023


FundersFunder number
Natural Sciences and Engineering Research Council of Canada50311-57400, unidentified
Victoria University10000-27458


    • Bernoulli
    • coloring
    • factor of iid


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