Proper 3-colorings of are Bernoulli

Gourab Ray; Yinon Spinka

doi:10.1017/etds.2021.160

Proper 3-colorings of are Bernoulli

Gourab Ray, Yinon Spinka

School of Mathematical Sciences

Tel Aviv University

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	2002-2027
Number of pages	26
Journal	Ergodic Theory and Dynamical Systems
Volume	43
Issue number	6
DOIs	https://doi.org/10.1017/etds.2021.160
State	Published - 2023

Keywords

Bernoulli
coloring
factor of iid

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

Access to Document

10.1017/etds.2021.160

Cite this

@article{4079ad408aa743a992a5419f259e74b9,

title = "Proper 3-colorings of are Bernoulli",

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.",

keywords = "Bernoulli, coloring, factor of iid",

author = "Gourab Ray and Yinon Spinka",

note = "Publisher Copyright: {\textcopyright} The Author(s), 2022. Published by Cambridge University Press.",

year = "2023",

doi = "10.1017/etds.2021.160",

language = "الإنجليزيّة",

volume = "43",

pages = "2002--2027",

journal = "Ergodic Theory and Dynamical Systems",

issn = "0143-3857",

publisher = "Cambridge University Press",

number = "6",

}

TY - JOUR

T1 - Proper 3-colorings of are Bernoulli

AU - Ray, Gourab

AU - Spinka, Yinon

N1 - Publisher Copyright: © The Author(s), 2022. Published by Cambridge University Press.

PY - 2023

Y1 - 2023

N2 - 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.

AB - 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.

KW - Bernoulli

KW - coloring

KW - factor of iid

UR - http://www.scopus.com/inward/record.url?scp=85129603997&partnerID=8YFLogxK

U2 - 10.1017/etds.2021.160

DO - 10.1017/etds.2021.160

M3 - مقالة

SN - 0143-3857

VL - 43

SP - 2002

EP - 2027

JO - Ergodic Theory and Dynamical Systems

JF - Ergodic Theory and Dynamical Systems

IS - 6

ER -

Proper 3-colorings of are Bernoulli

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this