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math.PR2024
Lecture notes on stationary critical and super-critical SPDEs
Giuseppe Cannizzaro, Fabio Toninelli
The goal of these lecture notes is to present recent results regarding the large-scale behaviour of critical and super-critical non-linear stochastic PDEs, that fall outside the re…
math.PR2024
An invariance principle for the 2d weakly self-repelling Brownian polymer
Giuseppe Cannizzaro, Harry Giles
We investigate the large-scale behaviour of the Self-Repelling Brownian Polymer (SRBP) in the critical dimension . The SRBP is a model of self-repelling motion, which is forma…