Proper -colorings of are Bernoulli
| Autor: | GOURAB RAY, YINON SPINKA |
|---|---|
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Ergodic Theory and Dynamical Systems. 43:2002-2027 |
| ISSN: | 1469-4417 0143-3857 |
| DOI: | 10.1017/etds.2021.160 |
| Popis: | We consider the unique measure of maximal entropy for proper 3-colorings of $\mathbb {Z}^{2}$ , 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 $\mathbb {Z}^{2}$ . Along the way, we obtain various estimates on the mixing properties of this measure. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|