2 papers
math.PR2023
Tip growth in a strongly concentrated aggregation model follows local geodesics
Frankie Higgs
We analyse the aggregate Loewner evolution (ALE), introduced in 2018 by Sola, Turner and Viklund to generalise versions of diffusion limited aggregation (DLA) in the plane using co…
math.PR2020
SLE scaling limits for a Laplacian random growth model
Frankie Higgs
We consider a model of planar random aggregation from the ALE family where particles are attached preferentially in areas of low harmonic measure. We find that the model und…