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math.PR2022★ 1 cited
Random tangled currents for : translation invariant Gibbs measures and continuity of the phase transition
Trishen S. Gunaratnam, Christoforos Panagiotis, Romain Panis +1
We prove that the set of automorphism invariant Gibbs measures for the model on graphs of polynomial growth has at most two extremal measures at all values of . We also gi…
math.PR2022★ 3 cited
Existence of a tricritical point for the Blume-Capel model on
Trishen S. Gunaratnam, Dmitrii Krachun, Christoforos Panagiotis
We prove the existence of a tricritical point for the Blume-Capel model on for every . The proof in relies on a novel combinatorial mapping to an…