Large stochastic systems of interacting particles (P. E. Jabin, Penn State University, USA)
Large stochastic systems of interacting particles.
Speaker: Prof. Dr. Pierre Emmanuel Jabin
Affiliation: Penn State University, USA
Zoom: Meeting ID: 692 0725 2503 , Passcode: 094376
Abstract: We are studying the asymptotic behavior of multi-agent or many-particle systems as the number of agents increases.
In a major difference with classical mean-field limits however, agents are not identical and in particular, which pair of agents
interact and how much is prescribed by a possibly time-dependent graph of interactions. This type of models are used in a wide range
of applications from coupled oscillators to networks of biological neurons. Those applications require a large number of agents
or particles, making the mean-field limit attractive. But the usual notion of propagation of chaos cannot hold anymore which forces
major changes in the classical theory. This is a joint work with D. Poyato and J. Soler.