Metastability for the Curie-Weiss model on inhomogeneous random graphs: results and challenges
Saeda Marello (Univ. Bonn, Germany)
Abstract: We are currently trying to extend to inhomogeneous random graphs the results on metastability for the Curie-Weiss model (CW) on the Erdős–Rényi random graph (namely the randomly dilute CW), obtained by Anton Bovier, Elena Pulvirenti and myself, and presented in the previous talk.
The idea is the same: obtaining information on a target model in terms of the correspondent “mean model” quantities.
After presenting few general results, we will focus on a particular case: the CW on the Chung-Lu inhomogeneous random graph and “its mean model”, the so called “CW with disorder”. The latter model will be the core of the talk: we will present results, techniques and comparison with known models. This will allow us to see why many details can be obtained there and to point of the challenges we face in other models.
We use extensively the potential-theoretic approach to metastability.
Based on ongoing joint work with Anton Bovier and Frank den Hollander.
probability
Audience: advanced learners
Series comments: The link to zoom meeting can be found on the seminar's google calendar - www.isibang.ac.in/~d.yogesh/BPS.html
| Organizers: | D Yogeshwaran*, Sreekar Vadlamani |
| *contact for this listing |