Multi angle Internal diffusion-limited aggregation with random starting points
Auteurs : Kozma, Gady (Auteur de la Conférence)
CIRM (Editeur )
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Résumé : 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.Codes MSC :
60G50 - Sums of independent random variables; random walks
60J60 - Diffusion processes
60K35 - Interacting random processes; statistical mechanics type models; percolation theory