13 citations · 49 across the 16 of their papers we have counts for
5 papers · 2 filters
The divisible sandpile with heavy-tailed variables
Alessandra Cipriani, Rajat Subhra Hazra, Wioletta M. Ruszel
This work deals with the divisible sandpile model when an initial configuration sampled from a heavy-tailed distribution. Extending results of Levine et al. (2015) and Cipriani et…
Exponential decay of covariances for the supercritical membrane model
Erwin Bolthausen, Alessandra Cipriani, Noemi Kurt
We consider the membrane model, that is the centered Gaussian field on whose covariance matrix is given by the inverse of the discrete Bilaplacian. We impose a pi…
A note on the Green's function for the transient random walk without killing on the half lattice, orthant and strip
Alberto Chiarini, Alessandra Cipriani
In this note we derive an exact formula for the Green's function of the random walk on different subspaces of the discrete lattice (orthants, including the half space, and the stri…
Scaling limit of the odometer in divisible sandpiles
Alessandra Cipriani, Rajat Subhra Hazra, Wioletta M. Ruszel
In a recent work Levine et al. (2015) prove that the odometer function of a divisible sandpile model on a finite graph can be expressed as a shifted discrete bilaplacian Gaussian f…
Fast decay of covariances under pinning in the critical and supercritical membrane model
Erwin Bolthausen, Alessandra Cipriani, Noemi Kurt
We consider the membrane model, that is the centered Gaussian field on whose covariance matrix is given by the inverse of the discrete Bilaplacian. We impose a pi…