Seminar: Probability and Stochastic Processes Seminar
Cluster-cluster model
Date:
August,19,2025
Start Time:
11:30 - 12:30
Location:
861, Meyer Building
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Lecturer:
Daniel Sharon
Research Areas:
The Cluster-cluster model was defined by Meakin in 1984. Consider a stochastic process on the graph Z^d.Each x in Z^d starts with a cluster of size 1 with probability p in (0,1] independently. Each cluster C performs a continuous time SRW with rate |C|^{-\alpha}. If it attempts to move to a vertex occupied by another cluster, it does not move, and instead the two clusters connect via a new edge. In this talk we will present results about explosion, non-explosion and cluster growth rates, as a function of the dimension – d, percolation density – p and diffusion rate parameter – alpha.
Joint work with Noam Berger (TUM) and Eviatar Procaccia (Technion)