3 citations · 3 across the 6 of their papers we have counts for
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Equilibrium fluctuations of the weakly asymmetric inclusion process
Simon Gabriel
We prove that the stationary density fluctuation field of the one-dimensional weakly asymmetric simple inclusion process converges to the energy solution of the stochastic Burgers…
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…