A manifold of pure Gibbs states of the Ising model on the Lobachevsky plane
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🧮 math-ph
math.MP
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stateslobachevskyplanegibbsinterfacesisingmanymodel
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In this paper we construct many `new' Gibbs states of the Ising model on the Lobachevsky plane, the millefeuilles. Unlike the usual states on the integer lattices, our foliated states have infinitely many interfaces. The interfaces are rigid and fill the Lobachevsky plane with positive density.
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