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PreprintCC BY 4.0arXiv

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

  • Piotr Gwiazda
  • Katarzyna Ryszewska
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Abstract

In this paper we apply the newly developed theory of extended graphons to a certain class of non-exchangeable, non-conservative problems. We establish the mean-field limit by proving the convergence of the associated generalized weighted empirical measures.

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Cite

BibTeXRIS
BibTeX
@misc{gwiazda2026note,
  title = {{A note on application of mean-field limit to non-exchangeable non-conservative systems}},
  author = {Piotr Gwiazda and Katarzyna Ryszewska},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2607.20014},
  eprint = {2607.20014},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.20014},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A note on application of mean-field limit to non-exchangeable non-conservative systems
AU  - Piotr Gwiazda
AU  - Katarzyna Ryszewska
PY  - 2026
DA  - 2026/10/29
PB  - arXiv
DO  - 10.48550/arxiv.2607.20014
UR  - https://arxiv.org/abs/2607.20014
AB  - In this paper we apply the newly developed theory of extended graphons to a certain class of non-exchangeable, non-conservative problems. We establish the mean-field limit by proving the convergence of the associated generalized weighted empirical measures.
ER  -