13 citations · 49 across the 16 of their papers we have counts for
25 papers · 1 filter
The spectrum of dense kernel-based random graphs
Alessandra Cipriani, Rajat Subhra Hazra, Nandan Malhotra +1
Kernel-based random graphs (KBRGs) are a broad class of random graph models that account for inhomogeneity among vertices. We consider KBRGs on a discrete dimensional torus $\m…
Properties of the gradient squared of the discrete Gaussian free field
Alessandra Cipriani, Rajat S. Hazra, Alan Rapoport +1
In this paper we study the properties of the centered (norm of the) gradient squared of the discrete Gaussian free field in , and…
Scale-free percolation mixing time
Alessandra Cipriani, Michele Salvi
Assign to each vertex of the one-dimensional torus i.i.d. weights with a heavy-tail of index . Connect then each couple of vertices with probability roughly proportional to…
Maximum of the membrane model on regular trees
Alessandra Cipriani, Biltu Dan, Rajat Subhra Hazra +1
The discrete membrane model is a Gaussian random interface whose inverse covariance is given by the discrete biharmonic operator on a graph. In literature almost all works have con…
Dynamical fitness models: evidence of universality classes for preferential attachment graphs
Alessandra Cipriani, Andrea Fontanari
In this paper we define a family of preferential attachment models for random graphs with fitness in the following way: independently for each node, at each time step a random fitn…
Scaling limit of semiflexible polymers: a phase transition
Alessandra Cipriani, Biltu Dan, Rajat Subhra Hazra
We consider a semiflexible polymer in which is a random interface model with a mixed gradient and Laplacian interaction. The strength of the two operators is governed…
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…
Approximating conditional distributions
Alberto Chiarini, Alessandra Cipriani, Giovanni Conforti
In this article, we discuss the basic ideas of a general procedure to adapt the Stein-Chen method to bound the distance between conditional distributions. From an integration-by-pa…
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…
Extremes of some Gaussian random interfaces
Alberto Chiarini, Alessandra Cipriani, Rajat Subhra Hazra
In this article we give a general criterion for some dependent Gaussian models to belong to maximal domain of attraction of Gumbel, following an application of the Stein-Chen metho…
A note on the extremal process of the supercritical Gaussian Free Field
Alberto Chiarini, Alessandra Cipriani, Rajat Subhra Hazra
We consider both the infinite-volume discrete Gaussian Free Field (DGFF) and the DGFF with zero boundary conditions outside a finite box in dimension larger or equal to 3. We show…
Extremes of the supercritical Gaussian Free Field
Alberto Chiarini, Alessandra Cipriani, Rajat Subhra Hazra
We show that the rescaled maximum of the discrete Gaussian Free Field (DGFF) in dimension larger or equal to 3 is in the maximal domain of attraction of the Gumbel distribution. Th…
Rates of convergence for extremes of geometric random variables and marked point processes
Alessandra Cipriani, Anne Feidt
We use the Stein-Chen method to study the extremal behaviour of the problem of extremes for univariate and bivariate geometric laws. We obtain a rate for the convergence to the Gum…
Thick points for Gaussian free fields with different cut-offs
Alessandra Cipriani, Rajat Subhra Hazra
Massive and massless Gaussian free fields can be described as generalized Gaussian processes indexed by an appropriate space of functions. In this article we study various approach…
The limit shape of random permutations with polynomially growing cycle weights
Alessandra Cipriani, Dirk Zeindler
In this work we are considering the behavior of the limit shape of Young diagrams associated to random permutations on the set under a particular class of multiplic…
Thick points for a Gaussian Free Field in 4 dimensions
Alessandra Cipriani, Rajat Subhra Hazra
This article is concerned with the study of the fractal dimension of thick points for a 4-dimensional Gaussian Free Field. We adopt the definition of Gaussian Free Field on …
High points for the membrane model in the critical dimension
Alessandra Cipriani
In this notice we would like to study the fractal structure of the set of high points for the membrane model in the critical dimension d=4. We are able to compute the Hausdorff dim…