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

11 papers

cs.CV2026

Player-1: Learning to Play from Synthetic Experience

Mingyu Ouyang, Yiran Wang, Siyuan Hu +9

Computer-use agents have demonstrated strong capabilities in interpreting screens and executing keyboard and mouse actions. However, games, with their visually rich worlds and dive…

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…

Player-1: Learning to Play from Synthetic Experience

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​