ERC Starting Grant · 2025
Overcoming criticality for PDEs with randomness
This proposal is concerned with the study of the dynamics of partial differential equations (PDEs), broadly interpreted, in the presence of randomness, with a particular focus on dispersive equations. This is a young but promising emerging field, and it has deep connections with the more established field of constructive quantum field theory. In recent years, we have witnessed outstanding advances in the theory of singular stochastic parabolic PDEs, and while several breakthroughs have been obtained for the dispersive counterpart, many fundamental questions are still open. In particular, many of these questions are "critical" or "supercritical" according to our current understanding. The…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.