Mean-field limit of non-exchangeable systems Jabin, Pierre-Emmanuel Poyato, David Soler Vizcaino, Juan Segundo This paper deals with the derivation of the mean-field limit for multi-agent systems on a large class of sparse graphs. More specifically, the case of non-exchangeable multi-agent systems consisting of non-identical agents is addressed. The analysis does not only involve PDEs and stochastic analysis but also graph theory through a new concept of limits of sparse graphs (extended graphons) that reflect the structure of the connectivities in the network and has critical effects on the collective dynamics. In this article some of the main restrictive hypothesis in the previous literature on the connectivities between the agents (dense graphs) and the cooperation between them (symmetric interactions) are removed. 2024-11-26T11:25:22Z 2024-11-26T11:25:22Z 2024-11-16 journal article Jabin, P.-E., Poyato, D. and Soler, J. (2024), Mean-field limit of non-exchangeable systems. Comm. Pure Appl. Math.. https://doi.org/10.1002/cpa.22235 https://hdl.handle.net/10481/97393 10.1002/cpa.22235 eng info:eu-repo/grantAgreement/EC/H2020/MSC/101064402 info:eu-repo/grantAgreement/EC/H2020/865711 http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional Wiley