Boundary renormalisation of stochastic PDEs

Dr Máté Gerencsér, Institute of Science and Technology Austria


We discuss solution theories of singular SPDEs endowed with various boundary conditions. 

In several examples, nontrivial boundary effects arise and another layer of renormalisation is required. 

We outline how these are connected to spatial singularities of simple trees in equations like the KPZ, PAM, of Phi^4.