Graphon Dynamical Systems: a Law of Large Numbers, Large Deviations, and Metastability

MathBio Seminar
Georgi Medvedev from Drexel
- | DRL A1 and also on Zoom

The macroscopic description of dynamics of interacting particle systems is a classical problem in mathematical physics. Modern applications ranging from neuronal networks to power grids feature models with spatially structured interactions. The derivation of the continuum limit for such systems has to deal with the fact that in contrast to the classical setting the particles are no longer identical. It also has to take into account the limiting connectivity of the network.