Trishen S. Gunaratnam

activity

20182026

most citedQuasi-invariant Gaussian measures for the nonlinear wave equation in three dimensions

36 citations · 44 across the 9 of their papers we have counts for

collaborators

Showing math.PRShow all

10 papers · 1 filter

math.PR2026

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 $β > β_{c}$ of a large family of real-valued spin models on $Z^{d}$ , including the Blume-Capel and $P (φ)$ models. We consider their random clust…

math.PR2025

The Markov property for $φ_{3}^{4}$ on the cylinder

Nikolay Barashkov, Trishen S. Gunaratnam

We prove that the $φ_{3}^{4}$ 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 th…

math.PR2025

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

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

In this article, we analyse the $φ^{4}$ model on $Z^{d}$ in the supercritical regime $β > β_{c}$ . We consider a random cluster representation of the $φ^{4}$ model, which corresponds…

math.PR2024

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 $R \times (R / (2 π R Z))$ of the (massless) Sinh-Gordon model. In particular we defi…

math.PR2023

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 $Z^{d}$ . For a wide class of models, the scaling limit…

math.PR2022★ 1 cited

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

math.PR2022★ 3 cited

Existence of a tricritical point for the Blume-Capel model on $Z^{d}$

Trishen S. Gunaratnam, Dmitrii Krachun, Christoforos Panagiotis

We prove the existence of a tricritical point for the Blume-Capel model on $Z^{d}$ for every $d \geq 2$ . The proof in $d \geq 3$ relies on a novel combinatorial mapping to an…

math.PR2022

Multiscale coupling and the maximum of $P (ϕ)_{2}$ models on the torus

Nikolay Barashkov, Trishen S. Gunaratnam, Michael Hofstetter

We establish a coupling between the $P (ϕ)_{2}$ measure and the Gaussian free field on the two-dimensional unit torus at all spatial scales, quantified by probabilistic regu…

math.PR2020★ 4 cited

Phase transitions for $ϕ_{3}^{4}$

Ajay Chandra, Trishen S. Gunaratnam, Hendrik Weber

We establish a surface order large deviation estimate for the magnetisation of low temperature $ϕ_{3}^{4}$ . As a byproduct, we obtain a decay of spectral gap for its Glauber dynamics g…

math.PR2018★ 36 cited

Quasi-invariant Gaussian measures for the nonlinear wave equation in three dimensions

Trishen S. Gunaratnam, Tadahiro Oh, Nikolay Tzvetkov +1

We prove quasi-invariance of Gaussian measures supported on Sobolev spaces under the dynamics of the three-dimensional defocusing cubic nonlinear wave equation. As in the previous…

Supercritical sharpness for the random cluster representation of real-valued spin models

The Markov property for φ34​ on the cylinder

The supercritical phase of the φ4 model is well behaved

2d Sinh-Gordon model on the infinite cylinder

Emergence of fractional Gaussian free field correlations in subcritical long-range Ising models

Random tangled currents for φ4: translation invariant Gibbs measures and continuity of the phase transition

Existence of a tricritical point for the Blume-Capel model on Zd

Multiscale coupling and the maximum of P(ϕ)2​ models on the torus

Phase transitions for ϕ34​