P. Tsatsoulis

activity

20162024

most citedA diagram-free approach to the stochastic estimates in regularity structures

19 citations · 32 across the 9 of their papers we have counts for

collaborators

9 papers

math.PR2024

Low temperature expansion for the Euclidean $Φ_{2}^{4}$ -measure

Benjamin Gess, Kihoon Seong, Pavlos Tsatsoulis

We study asymptotic expansions of the Euclidean $Φ_{2}^{4}$ -measure in the low-temperature regime. In particular, this extends the asymptotic expansions of Gaussian function space inte…

math.PR2022

Lyapunov exponents and synchronisation by noise for systems of SPDEs

B. Gess, P. Tsatsoulis

Quantitative estimates for the top Lyapunov exponents for systems of stochastic reaction-diffusion equations are proven. The treatment includes reaction potentials with degenerate…

math.PR2022

Gradient-type estimates for the dynamic $φ_{2}^{4}$ -model

Florian Kunick, Pavlos Tsatsoulis

We prove gradient bounds for the Markov semigroup of the dynamic $φ_{2}^{4}$ -model on a torus of fixed size $L > 0$ . For sufficiently large mass $m > 0$ these estimates imply exponential c…

math.PR2021★ 19 cited

A diagram-free approach to the stochastic estimates in regularity structures

Pablo Linares, Felix Otto, Markus Tempelmayr +1

In this paper, we explore the version of Hairer's regularity structures based on a greedier index set than trees, as introduced by Otto, Sauer, Smith and Weber. More precisely, we…

math.PR2020★ 5 cited

Variational methods for a singular SPDE yielding the universality of the magnetization ripple

Radu Ignat, Felix Otto, Tobias Ried +1

The magnetization ripple is a microstructure formed in thin ferromagnetic films. It can be described by minimizers of a nonconvex energy functional leading to a nonlocal and nonlin…

math.PR2019

Synchronisation by noise for the stochastic quantisation equation in dimensions $2$ and $3$

Benjamin Gess, Pavlos Tsatsoulis

We prove uniform synchronisation by noise with rates for the stochastic quantisation equation in dimensions two and three. The proof relies on a combination of coming down from inf…

math.PR2019★ 7 cited

Ergodicity for Stochastic Porous Media Equations

Konstantinos Dareiotis, Benjamin Gess, Pavlos Tsatsoulis

The long time behaviour of solutions to stochastic porous media equations on smooth bounded domains with Dirichlet boundary data is studied. Based on weighted $L^{1}$ -estimates the…

math.PR2018

Exponential loss of memory for the 2-dimensional Allen-Cahn equation with small noise

Pavlos Tsatsoulis, Hendrik Weber

We prove an asymptotic coupling theorem for the $2$ -dimensional Allen--Cahn equation perturbed by a small space-time white noise. We show that with overwhelming probability two pro…

math.PR2016★ 1 cited

Spectral Gap for the Stochastic Quantization Equation on the 2-dimensional Torus