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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.PR2008★ 6 cited
On one property of distances in the infinite random quadrangulation
Maxim Krikun
We show that the Schaeffer's tree for an infinite quadrangulation only changes locally when changing the root of the quadrangulation. This follows from one property of distances in…