13 citations · 49 across the 16 of their papers we have counts for
4 papers · 1 filter
Scaling limits in divisible sandpiles: a Fourier multiplier approach
Alessandra Cipriani, Jan de Graaff, Wioletta M. Ruszel
In this paper we complete the investigation of scaling limits of the odometer in divisible sandpiles on -dimensional tori generalising the works Chiarini et al. (2018), Cipriani…
The discrete Gaussian free field on a compact manifold
Alessandra Cipriani, Bart van Ginkel
In this article we aim at defining the discrete Gaussian free field (DGFF) on a compact manifold. Since there is no canonical grid approximation of a manifold, we construct a rando…
The scaling limit of the -model
Alessandra Cipriani, Biltu Dan, Rajat Subhra Hazra
In this article we study the scaling limit of the interface model on where the Hamiltonian is given by a mixed gradient and Laplacian interaction. We show that in an…
The scaling limit of the membrane model
Alessandra Cipriani, Biltu Dan, Rajat Subhra Hazra
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 dis…