50:36
publiée le 6 février 2026
On some deterministic version of the random walk on $\mathbb{Z}^d$
De Dalia Terhesiu
Internal diffusion-limited aggregation with random starting points
De Gady Kozma
Apparaît dans la collection : Random walks with memory / Marches aléatoires à mémoire
We consider a model for a growing subset of a euclidean lattice (an "aggregate") where at each step one choose a random point from the existing aggregate, starts a random walk from that point, and adds the point of exit to the aggregate. We show that the limiting shape is a ball. Joint work with Itai Benjamini, Hugo Duminil-Copin and Cyril Lucas.
