Petri Laarne

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20222026

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math-ph2026

$L^{2}$ convergence rates for singular stochastic wave dynamics

Nikolay Barashkov, Giacomo Di Gesù, Petri Laarne

We establish quantitative hypocoercivity for singular stochastic damped wave equations arising in stochastic quantization. Building on the finite-dimensional argument of Cao, Lu, a…

math-ph2025

Metastable transition times of the 1D dynamical sine-Gordon model

Petri Laarne

We study the dynamics of a stochastic heat equation with $γ sin (β u)$ nonlinearity on one-dimensional torus. We show an Eyring--Kramers law for the jump rate between potential wells…

L2 convergence rates for singular stochastic wave dynamics

Metastable transition times of the 1D dynamical sine-Gordon model

$L^{2}$ convergence rates for singular stochastic wave dynamics