7 citations · 7 across the 4 of their papers we have counts for
5 papers · 1 filter
Low temperature expansion for the Euclidean -measure
Benjamin Gess, Kihoon Seong, Pavlos Tsatsoulis
We study asymptotic expansions of the Euclidean -measure in the low-temperature regime. In particular, this extends the asymptotic expansions of Gaussian function space inte…
Gradient-type estimates for the dynamic -model
Florian Kunick, Pavlos Tsatsoulis
We prove gradient bounds for the Markov semigroup of the dynamic -model on a torus of fixed size . For sufficiently large mass these estimates imply exponential c…
Synchronisation by noise for the stochastic quantisation equation in dimensions and
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…
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 -estimates the…
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 -dimensional Allen--Cahn equation perturbed by a small space-time white noise. We show that with overwhelming probability two pro…