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Internal diffusion-limited aggregation with random starting points
Multi angle
Authors : Kozma, Gady (Author of the conference)
CIRM (Publisher )
60G50 - Sums of independent random variables; random walks
60J60 - Diffusion processes
60K35 - Interacting random processes; statistical mechanics type models; percolation theory
CIRM (Publisher )
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Abstract :
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.
MSC Codes : 60G50 - Sums of independent random variables; random walks
60J60 - Diffusion processes
60K35 - Interacting random processes; statistical mechanics type models; percolation theory
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 08/06/2017 Conference Date : 01/06/2017 Subseries : Research talks arXiv category : Probability Mathematical Area(s) : Probability & Statistics Format : MP4 (.mp4) - HD Video Time : 00:40:47 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2017-06-01_Kozma.mp4 
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Information on the Event
Event Title : Random walks with memory / Marches aléatoires à mémoireEvent Organizers : Gantert, Nina ; Ramirez, Alejandro ; Sabot, Christophe ; Tarres, Pierre ; Toth, Balint Dates : 29/05/2017 - 02/06/2017 Event Year : 2017 Event URL : http://conferences.cirm-math.fr/1566.html
Citation Data
DOI : 10.24350/CIRM.V.19180403Cite this video as: Kozma, Gady (2017). Internal diffusion-limited aggregation with random starting points. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19180403 URI : http://dx.doi.org/10.24350/CIRM.V.19180403 |
See Also
- [Multi angle] Introduction to hyperbolic sigma models and Edge Reinforced Random Walk / Author of the conference Spencer, Tom.
- [Multi angle] Time changes of stochastic processes: convergence and heat kernel estimates / Author of the conference Kumagai, Takashi.
- [Post-edited] Self-interacting walks and uniform spanning forests / Author of the conference Peres, Yuval.
Bibliography
