10 citations · 19 across the 9 of their papers we have counts for
14 papers
Gaussian fluctuations for Internal DLA on cylinders
Ahmed Bou-Rabee, Vittoria Silvestri, Ariel Yadin
Internal DLA is a discrete random growth model describing growing clusters of particles. Its limiting shape and fluctuations are well understood when the underlying graph is the $d…
Internal Diffusion Limited Aggregation with Critical Branching Random Walks
Amine Asselah, Vittoria Silvestri, Lorenzo Taggi
Internal Diffusion Limited Aggregation is an interacting particle system that describes the growth of a random cluster governed by the boundary harmonic measure seen from an intern…
Universality Conjectures for Activated Random Walk
Lionel Levine, Vittoria Silvestri
Activated Random Walk is a particle system displaying Self-Organized Criticality, in that the dynamics spontaneously drive the system to a critical state. How universal is this cri…
A martingale approach to time-dependent and time-periodic linear response in Markov jump processes
Alessandra Faggionato, Vittoria Silvestri
We consider a Markov jump process on a general state space to which we apply a time-dependent weak perturbation over a finite time interval. By martingale-based stochastic calculus…
Explosive growth for a constrained Hastings-Levitov aggregation model
Nathanaël Berestycki, Vittoria Silvestri
We consider a constrained version of the HL Hastings--Levitov model of aggregation in the complex plane, in which particles can only attach to the part of the cluster that has…
Stability of regularized Hastings-Levitov aggregation in the subcritical regime
James Norris, Vittoria Silvestri, Amanda Turner
We prove bulk scaling limits and fluctuation scaling limits for a two-parameter class ALE of continuum planar aggregation models. The class includes regularized versions of…
How far do Activated Random Walkers spread from a single source?
Lionel Levine, Vittoria Silvestri
Unlike many particle systems, Activated Random Walk has nontrivial behavior even in one spatial dimension. We prove inner and outer bounds on the spread of n activated random walke…
Internal DLA on cylinder graphs: fluctuations and mixing
Vittoria Silvestri
We use coupling ideas introduced in \cite{levine2018long} to show that an IDLA process on a cylinder graph forgets a typical initial profile in $\mathcal{O}( N…
Scaling limits for planar aggregation with subcritical fluctuations
James Norris, Vittoria Silvestri, Amanda Turner
We study scaling limits of a family of planar random growth processes in which clusters grow by the successive aggregation of small particles. In these models, clusters are encoded…
How long does it take for Internal DLA to forget its initial profile?
Lionel Levine, Vittoria Silvestri
Internal DLA is a discrete model of a moving interface. On the cylinder graph , a particle starts uniformly on and perfo…
Fluctuation theorems for discrete kinetic models of molecular motors
Alessandra Faggionato, Vittoria Silvestri
Motivated by discrete kinetic models for non-cooperative molecular motors on periodic tracks, we consider random walks (also not Markov) on quasi one dimensional (1d) lattices, obt…
Fluctuation results for Hastings-Levitov planar growth
Vittoria Silvestri
We study the fluctuations of the outer domain of Hastings-Levitov clusters in the small particle limit. These are shown to be given by a continuous Gaussian process t…
Discrete kinetic models for molecular motors: asymptotic velocity and gaussian fluctuations
Alessandra Faggionato, Vittoria Silvestri
We consider random walks on quasi one dimensional lattices, as introduced in \cite{FS}. This mathematical setting covers a large class of discrete kinetic models for non-cooperativ…
Random walks on quasi one dimensional lattices: large deviations and fluctuation theorems
Alessandra Faggionato, Vittoria Silvestri
Several stochastic processes modeling molecular motors on a linear track are given by random walks (not necessarily Markovian) on quasi 1d lattices and share a common regenerative…