Proper 3-colorings of are Bernoulli

Gourab Ray, Yinon Spinka

Research output: Contribution to journalArticlepeer-review

Abstract

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
Volume43
Issue number6
DOIs
StatePublished - 2023

Funding

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

    Keywords

    • Bernoulli
    • coloring
    • factor of iid

    Fingerprint

    Dive into the research topics of 'Proper 3-colorings of are Bernoulli'. Together they form a unique fingerprint.

    Cite this