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Phase transition for the Ising model on the Critical Lorentzian triangulation by Krikun, Maxim; Yambartsev, Anatoly is a scholarly article available to read on EtoBox.

What is Phase transition for the Ising model on the Critical Lorentzian triangulation about?

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 temperature region and coexistence of at least two Gibbs measures at low temperature. The proofs are based on the disagreement percolation method and on a variant of Peierls method. The critical temperature is shown to be constant a.s.

Author

Krikun, Maxim; Yambartsev, Anatoly

Published

2008

Language

EN