4 citations · 10 across the 5 of their papers we have counts for
5 papers
Internal Diffusion-Limited aggregation with uniform starting points
Itai Benjamini, Hugo Duminil-Copin, Gady Kozma +1
We study internal diffusion-limited aggregation with random starting points on Z^d. In this model, each new particle starts from a vertex chosen uniformly at random on the existing…
The Limiting Shape for Drifted Internal Diffusion Limited Aggregation is a True Heat Ball
Cyrille Lucas
We build the iDLA cluster using drifted random walks, and study the limiting shapes they exhibit, with the help of sandpile models. For constant drift, the normalised cluster conve…
Containing Internal Diffusion Limited Aggregation
Hugo Duminil-Copin, Cyrille Lucas, Ariel Yadin +1
Internal Diffusion Limited Aggregation (IDLA) is a model that describes the growth of a random aggregate of particles from the inside out. Shellef proved that IDLA processes on sup…
Asymptotics of the odometer function for the internal Diffusion Limited Aggregation model
Cyrille Lucas
We present precise asymptotics of the odometer function for the internal Diffusion Limited Aggregation model. These results provide a better understanding of this function whose im…
The Arcsine law as the limit of the internal DLA cluster generated by Sinai's walk
N. Enriquez, C. Lucas, F. Simenhaus
We identify the limit of the internal DLA cluster generated by Sinai's walk as the law of a functional of a Brownian motion which turns out to be a new interpretation of the Arcsin…