Stochastic processes on evolving networks
Mini-WORKshop @ Burg Ebernburg January 25--27, 2022
Description
In this workshop, we focus on the study of interacting particles on evolving networks. Key examples are the contact process, the voter model and competition models. A key goal of this workshop is to identify what can be said about the behavior of these models when the underlying network (co)evolves with the particles. The aim is to bridge the gap between the rigorous mathematical theory and sciences for such stochastic processes on (co)evolving networks, firstly by extending the existing theory to more general processes and secondly by developing new models of coevolutionary nature resembling processes seen in real world networks.
Program
Jan 25:
15:30-16:30: Stein: Random Walks in Dynamic Random Environment (2 talks -> 1 hour)
Jan 26:
9:30-10:00 Christian: Reinforced networks via strongly reinforced paths
10:30-11:00 Markus: Voronoi cells in random split trees
14:00-14:30 Lisa: Power-like divergence of the diameter of the transition front of the solution to the F-KPP equation in heterogeneous medium
Jan 27:
9:30-10:00 Thomas van Belle: Consensus time for the voter model on the Erdős–Rényi random graph
10:00-10:30 Christian: Weight-dependent random connection model
Sanitary/Hygienic Regulations
All participants are requested to take note of the sanitary/hygienic regulations:
Venue
Burg Ebernburg, 55583 Bad Kreuznach
Organizers
Alex Drewitz
Peter Gracar