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Internal diffusion-limited aggregation with random starting points

By Gady Kozma

Appears in 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.

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  • DOI 10.24350/CIRM.V.19180403
  • Cite this video Kozma, Gady (01/06/2017). Internal diffusion-limited aggregation with random starting points. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19180403
  • URL https://dx.doi.org/10.24350/CIRM.V.19180403

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