The mean-field limit of non-exchangeable particle systems with non-conservative dynamics and adaptive weights

2026/07/23 by Katarzyna Ryszewska
#math.AP #math.PR

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Abstract

In the paper we introduce vector-valued dynamic extended graphons in order to obtain the mean-filed limit for certain class of problems with adaptive weights. We impose fairly general assumptions on the matrix of initial connections, which allows us to cover the case of sparse graphs.

Citations

• A note on application of mean-field limit to non-exchangeable non-conservative systems

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