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Mean-field limit for non-exchangeable multi-agent systems (P. E. Jabin, University of Maryland, USA)

Apr 28
28-04-2021 16:00 Uhr bis 17:00 Uhr
Online

Mean-field limit for non-exchangeable multi-agent systems

Speaker: Prof. Dr. Pierre Emmanuel Jabin
Affiliation: University of Maryland, USA
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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.

https://en.www.math.fau.de/applied-analysis/