Stochastic bridges: From Avon to Arno 

• Ziyang Liu, University of Warwick: Moments of the Stochastic Heat Flow.

The Critical 2d Stochastic Heat Flow (SHF) is a stochastic process on random measures on R2 that describes a non-trivial solution to the two-dimensional stochastic heat equation with multiplicative space-time noise. Its one-time marginals are a.s. singular with respect to the Lebesgue measure, meaning that the volume they assign on shrinking balls decays to zero faster than their Lebesgue volume. In this work we explore the intermittency properties of the Critical 2d SHF by studying the asymptotics of the h-th moment of the volume that it assigns on shrinking balls of radius ε and we determine that its ratio to the Lebesgue volume is of order (log 1/ε)^{h\choose 2} up to possible lower order corrections.

• Harry Giles, University of Warwick: Diffusivity of Glauber dynamics for dimers. 

In this talk, I will introduce a model of discrete surface growth in 2+1 dimensions. Naturally, one would like to determine the rate at which correlations spread through the system. We can show that they spread diffusively, which leads one to conjecture that the model lies in the Edwards-Wilkinson class. 

•  Sotirios Kotitsas, University of Pisa: TBA

•  Lukas Grafner, University of Warwick: TBA

• Silvia Morlacchi, University of Pisa: TBA

• Maria Chiara Ricciuti, Imperial College: TBA

• Sarah-Jean Meyer, Oxford University: TBA