Trishen S. Gunaratnam

collaborators

4 papers

math.PR2026

2d Sinh-Gordon model on the infinite cylinder

Colin Guillarmou, Trishen S. Gunaratnam, Vincent Vargas

For $R > 0$ , we give a rigorous probabilistic construction on the cylinder $R \times (R / (2 I ¨ R Z))$ of the (massless) Sinh-Gordon model. In particular we def…

math.PR2025

The Markov property for $I ¨ _{3}^{4}$ on the cylinder

Nikolay Barashkov, Trishen S. Gunaratnam

We prove that the $I ¨ _{3}^{4}$ 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 t…

math.PR2025

The supercritical phase of the $I ¨ ^{4}$ model is well behaved

Trishen S. Gunaratnam, Christoforos Panagiotis, Romain Panis +1

In this article, we analyse the $I ¨ ^{4}$ model on $Z^{d}$ in the supercritical regime $I^^{2} > I^_{c}^{2}$ . We consider a random cluster representation of the $I ¨ ^{4}$ model, which corresp…

math.PR2025

Random tangled currents for $I ¨ ^{4}$ : 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 $I ¨ ^{4}$ model on graphs of polynomial growth has at most two extremal measures at all values of $I^^{2}$ . We also…

2d Sinh-Gordon model on the infinite cylinder

The Markov property for I¨34​ on the cylinder

The supercritical phase of the I¨4 model is well behaved

Random tangled currents for I¨4: translation invariant Gibbs measures and continuity of the phase transition

The Markov property for $I ¨ _{3}^{4}$ on the cylinder

The supercritical phase of the $I ¨ ^{4}$ model is well behaved

Random tangled currents for $I ¨ ^{4}$ : translation invariant Gibbs measures and continuity of the phase transition