45 citations · 232 across the 17 of their papers we have counts for
18 papers
Scaling limits of anisotropic growth on logarithmic time-scales
George Liddle, Amanda Turner
We study the anisotropic version of the Hastings-Levitov model AHL. Previous results have shown that on bounded time-scales the harmonic measure on the boundary of the cluster…
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…
Growth of Stationary Hastings-Levitov
Noam Berger, Eviatar B. Procaccia, Amanda Turner
We construct and study a stationary version of the Hastings-Levitov model. We prove that, unlike in the classical HL model, in the stationary case the size of particles a…
Scaling limits and fluctuations for random growth under capacity rescaling
George Liddle, Amanda Turner
We evaluate a strongly regularised version of the Hastings-Levitov model HL for . Previous results have concentrated on the small-particle limit where the size of t…
Coexistence in a random growth model with competition
Shane Turnbull, Amanda Turner
We consider a variation of the Hastings-Levitov model HL(0) for random growth in which the growing cluster consists of two competing regions. We allow the size of successive partic…
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…