108 citations · 614 across the 35 of their papers we have counts for
40 papers
Phase transition for invariant measures of the focusing Schrödinger equation
Leonardo Tolomeo, Hendrik Weber
We consider the Gibbs measure for the focusing nonlinear Schrödinger equation on the one-dimensional torus , that was introduced in a seminal paper by Lebowitz, Rose and…
Martingale-driven integrals and singular SPDEs
Paolo Grazieschi, Konstantin Matetski, Hendrik Weber
We consider multiple stochastic integrals with respect to càdlàg martingales, which approximate a cylindrical Wiener process. We define a chaos expansion, analogous to the case of…
The dynamical Ising-Kac model in 3D converges to
Paolo Grazieschi, Konstantin Matetski, Hendrik Weber
We consider the Glauber dynamics of a ferromagnetic Ising-Kac model on a three-dimensional periodic lattice of size , in which the flipping rate of each spin depends on…
Brownian particle in the curl of 2-d stochastic heat equations
Guilherme L. Feltes, Hendrik Weber
We study the long time behaviour of a Brownian particle evolving in a dynamic random environment. Recently, [G. Cannizzaro, L. Haunschmid-Sibitz, F. Toninelli, preprint arXiv:2106.…
Optimal regularity in time and space for stochastic porous medium equations
Stefano Bruno, Benjamin Gess, Hendrik Weber
We prove optimal regularity estimates in Sobolev spaces in time and space for solutions to stochastic porous medium equations. The noise term considered here is multiplicative, whi…
Feature Engineering with Regularity Structures
Ilya Chevyrev, Andris Gerasimovics, Hendrik Weber
We investigate the use of models from the theory of regularity structures as features in machine learning tasks. A model is a polynomial function of a space-time signal designed to…