{ "id": "2310.10742", "version": "v1", "published": "2023-10-16T18:19:20.000Z", "updated": "2023-10-16T18:19:20.000Z", "title": "Mean-field limit of particle systems with absorption", "authors": [ "Gaoyue Guo", "Milica Tomasevic" ], "categories": [ "math.PR", "math.AP" ], "abstract": "We consider a particle system of singular interaction where particles are removed from the system once they hit some barrier. We show the wellposedness of the particle system and its mean-field limit and prove the propagation of chaos.", "revisions": [ { "version": "v1", "updated": "2023-10-16T18:19:20.000Z" } ], "analyses": { "keywords": [ "particle system", "mean-field limit", "absorption" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }