38 citations · 45 across the 15 of their papers we have counts for
4 papers · 1 filter
Stabilization by rough noise for an epitaxial growth model
Dirk Blömker, Johannes Rimmele
In this article we study a model from epitaxial thin-film growth. It was originally introduced as a phenomenological model of growth in the presence of a Schwoebbel barrier, where…
Probabilistic Estimates of the Maximum Norm of Random Neumann Fourier Series
Dirk Blömker, Philipp Wacker, Thomas Wanner
We study the maximum norm behavior of -normalized random Fourier cosine series with a prescribed large wave number. Precise bounds of this type are an important technical tool…
Markovianity and ergodicity for a surface growth PDE
D. Blömker, F. Flandoli, M. Romito
The paper analyses a model in surface growth, where uniqueness of weak solutions seems to be out of reach. We provide the existence of a weak martingale solution satisfying energy…
A probabilistic representation for the solutions to some non-linear PDEs using pruned branching trees
D. Blömker, M. Romito, R. Tribe
The solutions to a large class of semi-linear parabolic PDEs are given in terms of expectations of suitable functionals of a tree of branching particles. A sufficient, and in some…