Skip to content
DraconiticResearch
Search Sources API
181,686 studies31 sourcesUpdated 40 min ago
PreprintCC BY 4.0arXiv

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

  • Katarzyna Ryszewska
Open at sourcePDFDOICite

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.

Related

  1. A note on application of mean-field limit to non-exchangeable non-conservative systems
    Piotr Gwiazda, Katarzyna Ryszewska
    arXivPreprintCC BY 4.0Full textAnalysis & PDEsarXiv
  2. Scalable Bayesian inference for time-discretised Markov jump processes via exchangeable particle Gibbs
    Lanya Yang, Lloyd A. C. Chapman, Chris Sherlock
    arXivPreprintCC BY 4.0Full textStatisticsarXiv
  3. Finite-Particle Convergence Rates for Conservative and Non-Conservative Drifting Models
    Krishnakumar Balasubramanian
    arXivPreprintCC BY 4.0Full textStatisticsarXiv
  4. A Fully Discrete, Mass-Conservative Adaptive Discontinuous Spectral-Element Method for the One-Dimensional Richards Equation in Mixed Form
    Tristan Montoya, Raymond J. Spiteri
    arXivPreprintarXiv licenceFull textNumerical analysis & scientific computingComputational physicsarXiv
  5. High-order in-cell discontinuous reconstruction path-conservative methods for conservative systems in primitive variables
    Ernesto Pimentel-García, Mario Ricchiuto, Carlos Parés
    arXivPreprintCC BY 4.0Full textNumerical analysis & scientific computingarXiv

Cite

BibTeXRIS
BibTeX
@misc{ryszewska2026meanfield,
  title = {{The mean-field limit of non-exchangeable particle systems with non-conservative dynamics and adaptive weights}},
  author = {Katarzyna Ryszewska},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2607.21110},
  eprint = {2607.21110},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.21110},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - The mean-field limit of non-exchangeable particle systems with non-conservative dynamics and adaptive weights
AU  - Katarzyna Ryszewska
PY  - 2026
DA  - 2026/10/29
PB  - arXiv
DO  - 10.48550/arxiv.2607.21110
UR  - https://arxiv.org/abs/2607.21110
AB  - 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.
ER  -