Probability Colloquium Augsburg-Munich
Summer term 2024
Next events:
Monday, 8 July 2024 16:30 - 17:30
Location:
TU München, room 2.01.10, Parkring 11, 85748 Garching-Hochbrück
Speaker:
Peter Mörters (Köln)
Metastability of the contact process on evolving scale-free networks
We study the contact process on scale-free inhomogeneous random graphs evolving
according to a stationary dynamics, where the neighbourhood of each vertex is updated
with a rate depending on its strength. We identify the full phase diagram of metastability
exponents in dependence on the tail exponent of the degree distribution and the rate of updating.
The talk is based on joint work with Emmanuel Jacob (Lyon) and Amitai Linker (Santiago de Chile).
Monday, 15 July 2024
Location:
Ludwig-Maximilians-Universität München
Mathematisches Institut
Room B 349
Theresienstr. 39
80333 München
Schedule:
Titles and abstracts:
The dilute Curie-Weiss model is the Ising model on a (dense) Erdös-Rényi graph G(N,p). It was introduced by Bovier and Gayrard in 1990s. There the authors showed that on the level of laws of large numbers the magnetization as well as the free energy behave as they do in the usual Curie-Weiss model (i.e. mean-field Ising model). We analyze CLTs for the these quantities and give several critical values for p at which these fluctuations change. This is joint work with Zakhar Kabluchko and Kristina Schubert.