Oberseminar Wahrscheinlichkeitstheorie

Joint research seminar of LMU and TUM in Probability Theory

Students and guests welcome.

Organizers: Noam Berger (TUM), Nina Gantert (TUM), Konstantinos Panagiotou (LMU), Markus Heydenreich (LMU), Sabine Jansen (LMU), Franz Merkl (LMU), Silke Rolles (TUM)

Upcoming talks:

Mon 20 Oct 2025, 16:30: Daniel Sharon
Cluster-cluster model

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), Eviatar B. Procaccia (Technion) and Dominik Schmid (Augsburg University).