ERC Starting Grant · 2023
Stochastic PDEs and Renormalisation
The field of stochastic partial differential equations (SPDEs) has been revolutionised in the last decade by breakthrough works of Hairer, Gubinelli-Imkeller-Perkowski, and many others. A new understanding of renormalised solution theories emerged, solving long-standing singular equations arising in various areas of probability and mathematical physics. The purpose of this project is to study a number of important questions in the field, open new directions, and challenge central open problems: (i) Launch the investigation of singular SPDEs that preserve Gibbs measures of distributional Hamiltonians such as the density of self-repellent polymers; (ii) Tackle the question of a quasilinear…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.