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 language | English |
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Pages (from-to) | 2002-2027 |
Number of pages | 26 |
Journal | Ergodic Theory and Dynamical Systems |
Volume | 43 |
Issue number | 6 |
DOIs | |
State | Published - 2023 |
Keywords
- Bernoulli
- coloring
- factor of iid
All Science Journal Classification (ASJC) codes
- Applied Mathematics
- General Mathematics