The Schonmann projection as a g-measure-, how Gibbsian is it?
Mathematical Physics
2022-03-23 v2 Dynamical Systems
math.MP
Probability
Abstract
We study the one-dimensional projection of the extremal Gibbs measures of the two-dimensional Ising model, the "Schonmann projection". These measures are known to be non-Gibbsian at low temperatures, since their conditional probabilities as a function of the two-sided boundary conditions are not continuous. We prove that they are g-measures, which means that their conditional probabilities have a continuous dependence on one-sided boundary condition.
Keywords
Cite
@article{arxiv.2102.10622,
title = {The Schonmann projection as a g-measure-, how Gibbsian is it?},
author = {Aernout van Enter and Senya Shlosman},
journal= {arXiv preprint arXiv:2102.10622},
year = {2022}
}
Comments
to appear in Annales Institut Henri Poincare, 9 pages, in memory of Dima Ioffe