108 citations · 614 across the 35 of their papers we have counts for
10 papers · 1 filter
The Schr{ö}dinger equation with spatial white noise potential
Arnaud Debussche, Hendrik Weber
We consider the linear and nonlinear Schr{ö}dinger equation with a spatial white noise as a potential in dimension 2. We prove existence and uniqueness of solutions thanks to a cha…
Gaussian Approximations for Probability Measures on
Yulong Lu, Andrew M. Stuart, Hendrik Weber
This paper concerns the approximation of probability measures on with respect to the Kullback-Leibler divergence. Given an admissible target measure, we show the exi…
Construction of diagrams for pedestrians
Jean-Christophe Mourrat, Hendrik Weber, Weijun Xu
We aim to give a pedagogic and essentially self-contained presentation of the construction of various stochastic objects appearing in the dynamical model. The construction…
Spectral Gap for the Stochastic Quantization Equation on the 2-dimensional Torus
Pavlos Tsatsoulis, Hendrik Weber
We study the long time behavior of the stochastic quantization equation. Extending recent results by Mourrat and Weber we first establish a strong non-linear dissipative bound that…
Glauber dynamics of 2D Kac-Blume-Capel model and their stochastic PDE limits
Hao Shen, Hendrik Weber
We study the Glauber dynamics of a two dimensional Blume-Capel model (or dilute Ising model) with Kac potential parametrized by - the "inverse temperature" and the "chemica…
Quasilinear SPDEs via rough paths
Felix Otto, Hendrik Weber
We are interested in (uniformly) parabolic PDEs with a nonlinear dependance of the leading-order coefficients, driven by a rough right hand side. For simplicity, we consider a spac…
Gaussian approximations for transition paths in Brownian dynamics
Yulong Lu, Andrew M. Stuart, Hendrik Weber
This paper is concerned with transition paths within the framework of the overdamped Langevin dynamics model of chemical reactions. We aim to give an efficient description of typic…
An Eyring-Kramers law for the stochastic Allen-Cahn equation in dimension two
Nils Berglund, Giacomo Di Gesù, Hendrik Weber
We study spectral Galerkin approximations of an Allen--Cahn equation over the two-dimensional torus perturbed by weak space-time white noise of strength . We in…
Sample path large deviations for Laplacian models in -dimensions
Stefan Adams, Alexander Kister, Hendrik Weber
For Laplacian models in dimension we derive sample path large deviations for the profile height function, that is, we study scaling limits of Gaussian integrated random wal…
The dynamic model comes down from infinity
Jean-Christophe Mourrat, Hendrik Weber
We prove an a priori bound for the dynamic model on the torus wich is independent of the initial condition. In particular, this bound rules out the possibility of finite ti…