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arXiv · 2102.10622

The Schonmann projection as a g-measure-, how Gibbsian is it?

Aernout van Enter·Senya Shlosman
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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.

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Aernout van Enter, Senya Shlosman. 2021-02-21. The Schonmann projection as a g-measure-, how Gibbsian is it?. https://arxiv.org/abs/2102.10622

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