Dobrushin-Kotecký-Schlosman theorem for polygonal Markov fields in the plane
نویسنده
چکیده
We establish a version of the Dobrushin-Kotecký-Schlosman phase separation theorem for the length-interacting Arak-Surgailis polygonal Markov fields with V-shaped nodes.
منابع مشابه
Dobrushin-Kotecký-Shlosman theorem for polygonal Markov fields in the plane
We consider the so-called length-interacting Arak-Surgailis polygonal Markov fields with V-shaped nodes – a continuum and isometry invariant process in the plane sharing a number of properties with the two-dimensional Ising model. For these polygonal fields we establish a low-temperature phase separation theorem in the spirit of the Dobrushin-Kotecký-Shlosman theory, with the corresponding Wulf...
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