ERC Advanced Grant · 2016
Quantum Fields and Probability
Quantum Field Theory (QFT) has become a universal framework in physics to study systems with infinite number of degrees of freedom. It has also had in the past significant interaction with Probability starting with Constructive QFT and rigorous statistical mechanics. The goal of this proposal is to bring QFT methods to probabilistic problems and new ideas from Probability to QFT. It concentrates on two concrete topics: (1) Renormalization Group study of rough Stochastic Partial Differential Equations, both their path wise solutions and their space-time correlations and stationary states. These equations are ubiquitous in non-equilibrium physics and they are mathematically challenging. (2)…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.