We study dynamic correlations for current and mass, as well as the associated power
spectra, in the one-dimensional conserved Manna sandpile. We show that, in the …

On the integer lattice, we consider the discrete membrane model, a random interface in
which the field has Laplacian interaction. We prove that, under appropriate rescaling, the …

In this article we study the scaling limit of the interface model on\, Z\,^ d Z d where the
Hamiltonian is given by a mixed gradient and Laplacian interaction. We show that in any …

In this paper we investigate scaling limits of the odometer in divisible sandpiles on d-
dimensional tori following up the works of Chiarini et al.(Odometer of long-range sandpiles …

In this article, we study stochastic homogenization of non-homogeneous Gaussian free
fields Ξ g, a and bi-Laplacian fields Ξ b, a. They can be characterized as follows: for f= δ the …

For an arbitrary dimension nn, we study: the polyharmonic Gaussian field h L h_L on the
discrete torus TL n= 1 LZ n/Z n T^n_L=1LZ^n/Z^n, that is the random field whose law on RTL …

In this article, we study the existence and uniqueness problem for linear Stochastic PDEs
involving a bilaplacian operator. Our results on the existence and uniqueness are obtained …

Abstract In Cipriani et al.(2017), the authors proved that, with the appropriate rescaling, the
odometer of the (nearest neighbours) divisible sandpile on the unit torus converges to a bi …

This thesis is concerned with the membrane model, an example of a discrete random
interface model. This model arises, for example, when studying thermal fluctuations in …

The divisible sandpile model is a fixed-energy continuous counterpart of the Abelian
sandpile model. We start with a random initial configuration and redistribute mass …