Leonardo Tolomeo

activity

20232026

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4 papers · 1 filter

math.PR2025

Quasi-Gaussianity of the 2D stochastic Navier-Stokes equations

James Coe, Martin Hairer, Leonardo Tolomeo

We study the qualitative properties of solutions to the 2D stochastic Navier-Stokes equations with forcing that is white in time and coloured in space. Our main result shows that t…

math.PR2024

Critical threshold for weakly interacting log-correlated focusing Gibbs measures

Damiano Greco, Tadahiro Oh, Liying Tao +1

We study log-correlated Gibbs measures on the $d$ -dimensional torus with weakly interacting focusing quartic potentials whose coupling constants tend to $0$ as we remove regulariza…

math.PR2024

Quasi-invariance of the Gaussian measure for the two-dimensional stochastic cubic nonlinear wave equation

Justin Forlano, Leonardo Tolomeo

We consider the stochastic damped nonlinear wave equation $\partial_{t}^{2} u + \partial_{t} u + u - Δ u + u^{3} = 2 ⟨ \nabla ⟩^{- s} ξ$ on the two-dimensional torus $\mathb…

math.PR2023

Ergodicity for the hyperbolic $P (Φ)_{2}$ -model

Leonardo Tolomeo

We consider the problem of ergodicity for the $P (Φ)_{2}$ measure of quantum field theory under the flow of the singular stochastic (damped) wave equation $u_{tt} + u_t + (1-Δ) u + {:…

Quasi-Gaussianity of the 2D stochastic Navier-Stokes equations

Critical threshold for weakly interacting log-correlated focusing Gibbs measures

Quasi-invariance of the Gaussian measure for the two-dimensional stochastic cubic nonlinear wave equation

Ergodicity for the hyperbolic P(Φ)2​-model

Ergodicity for the hyperbolic $P (Φ)_{2}$ -model