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math.PR2008★ 1 cited
Phase transition for the Ising model on the Critical Lorentzian triangulation
Maxim Krikun, Anatoly Yambartsev
Ising model without external field on an infinite Lorentzian triangulation sampled from the uniform distribution is considered. We prove uniqueness of the Gibbs measure in the high…
math.PR2004
Repulsion of an evolving surface on walls with random heights
L. R. G. Fontes, M. Vachkovskaia, A. Yambartsev
We consider the motion of a discrete random surface interacting by exclusion with a random wall. The heights of the wall at the sites of are i.i.d.\ random variables. Fixed…