The Schonmann projection as a g-measure-, how Gibbsian is it?
arXiv:2102.10622
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.
to appear in Annales Institut Henri Poincare, 9 pages, in memory of Dima Ioffe