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math.PR2025
The Markov property for on the cylinder
Nikolay Barashkov, Trishen S. Gunaratnam
We prove that the model satisfies a version of Segal's axioms in the special case of three-dimensional tori and cylinders. As a consequence, we give the first proof that th…
math.PR2025
The supercritical phase of the model is well behaved
Trishen S. Gunaratnam, Christoforos Panagiotis, Romain Panis +1
In this article, we analyse the model on in the supercritical regime . We consider a random cluster representation of the model, which corresponds…