6 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…
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…
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…
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…