Petri Laarne

activity

20222026

collaborators

4 papers

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…

math.AP2024

Eyring--Kramers law for the hyperbolic $ϕ^{4}$ model

Nikolay Barashkov, Petri Laarne

We study the expected transition frequency between the two metastable states of a stochastic wave equation with double-well potential. By transition state theory, the frequency fac…

math.AP2022

Invariance of $ϕ^{4}$ measure under nonlinear wave and Schrödinger equations on the plane

Nikolay Barashkov, Petri Laarne

We show almost sure wellposedness of mild solution to the cubic nonlinear wave equation in a weighted Besov space over $R^{2}$ . To achieve this, we show that any weak limit o…

L2 convergence rates for singular stochastic wave dynamics

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

Eyring--Kramers law for the hyperbolic ϕ4 model

Invariance of ϕ4 measure under nonlinear wave and Schrödinger equations on the plane

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

Eyring--Kramers law for the hyperbolic $ϕ^{4}$ model

Invariance of $ϕ^{4}$ measure under nonlinear wave and Schrödinger equations on the plane