4 papers
Weak universality for stochastic reaction-diffusion models with long-range correlated noise
Simon Gabriel, Markus Tempelmayr
We study the large-scale behaviour of a family of stochastic reaction-diffusion equations driven by long-range correlated noise in a weakly nonlinear regime. Depending on the decay…
Discrete RG flow of a hierarchical singular SPDE
Leonard Ferdinand, Simon Gabriel
This paper illustrates the Renormalisation Group (RG) approach to singular SPDEs following a framework introduced by Kupiainen \cite{Kupiainen2016}. We study a linear elliptic SPDE…
Fluctuations in the weakly coupled 4D Anderson Hamiltonian
Simon Gabriel, Tommaso Rosati
We study the weak coupling limit of the Anderson Hamiltonian in the critical dimension . In a perturbative sense, we prove Gaussian fluctuations about the Green's function of…
Modulated Poisson-Dirichlet diffusions arising from inclusion processes with a slow phase
Simon Gabriel
We study mean-field inclusion processes with an additional slow phase, in which particle interactions occur at a vanishing rate proportional to the inverse system size. In the ther…