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Register a new userThe Schonmann projection as a g-measure-, how Gibbsian is it?
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Added by
Aernout Coert Daniel van Enter
Publication date
2021
fields
Physics
and research's language is
English
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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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