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

Aernout van Enter*, Senya Shlosman

*Corresponding author for this work

Research output: Working paperPreprintAcademic

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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.
Original languageEnglish
Publication statusSubmitted - 21-Feb-2021

Keywords

  • math-ph
  • math.DS
  • math.MP
  • math.PR

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