ERC Consolidator Grant · 2021
Global Estimates for non-linear stochastic PDEs
The project is concerned with the global behaviour of solutions to Stochastic Partial Differential Equations (SPDEs) from Mathematical Physics which arise e.g. in the description of scaling limits of interacting particle systems and in the analysis of Quantum Field Theories. The equations contain noise terms which describe random fluctuations and act on all length scales. In this situation the presence of a non-linear term can lead to divergencies. A subtle renormalisation procedure, which amounts to removing infinite terms, is needed. Over the last years the understanding of non-linear SPDEs has been revolutionised and a systematic treatment of the renormalisation procedure has been…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.