4 citations · 8 across the 8 of their papers we have counts for
10 papers
Supercritical sharpness for the random cluster representation of real-valued spin models
Trishen S. Gunaratnam, Dmitry Krachun, Christoforos Panagiotis +2
We study the supercritical regime of a large family of real-valued spin models on , including the Blume-Capel and models. We consider their random clust…
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…
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…
2d Sinh-Gordon model on the infinite cylinder
Colin Guillarmou, Trishen S. Gunaratnam, Vincent Vargas
For , we give a rigorous probabilistic construction on the cylinder of the (massless) Sinh-Gordon model. In particular we defi…
Emergence of fractional Gaussian free field correlations in subcritical long-range Ising models
Trishen S. Gunaratnam, Romain Panis
We study corrections to the scaling limit of subcritical long-range Ising models with (super)-summable interactions on . For a wide class of models, the scaling limit…
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…