Quantitative estimates of propagation of chaos for stochastic systems with $$W^{-1,\infty }$$ W

Quantitative estimates of propagation of chaos for stochastic systems with $$W^{-1,\infty }$$ W - 1 , ∞ kernels

Published:2018-07-06 Issue:1 Volume:214 Page:523-591
ISSN:0020-9910
Container-title:Inventiones mathematicae
language:en
Short-container-title:Invent. math.

Author:

Jabin Pierre-Emmanuel,Wang Zhenfu

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/article/10.1007/s00222-018-0808-y/fulltext.html

Reference90 articles.

1. Anderson, G.W., Guionnet, A., Zeitouni, O.: An Introduction to Random Matrices. Volume 118 of Cambridge Studies in Advanced Mathematics. Cambridge University Press, Cambridge (2010)

2. Ben Arous, G., Brunaud, M.: Méthode de Laplace: étude variationnelle des fluctuations de diffusions de type “champ moyen”. Stoch. Stoch. Rep. 31, 79–144 (1990)

3. Benachour, S., Roynette, B., Talay, D., Vallois, P.: Nonlinear self-stabilizing processes. I. Existence, invariant probability, propagation of chaos. Stoch. Process. Appl. 75, 173–201 (1998)

4. Berman, R.J.: Large deviations for Gibbs measures with singular Hamiltonians and emergence of Kähler–Einstein metrics. Commun. Math. Phys. 354, 1133–1172 (2017)

5. Berman, R. J., Önnheim, M.: Propagation of chaos, Wasserstein gradient flows and toric Kähler–Einstein metrics. arXiv: 1501.07820 (2015)

Cited by 91 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Mean-field derivation of Landau-like equations;Applied Mathematics Letters;2024-12

2. Robust decentralized control of coupled systems via risk sensitive control of decoupled or simple models with measure change;Systems & Control Letters;2024-11

3. Uniform in time mean field limits for 1D Riesz gases;Séminaire Laurent Schwartz — EDP et applications;2024-09-05

4. A strong form of propagation of chaos for Cucker–Smale model;Zeitschrift für angewandte Mathematik und Physik;2024-07-28

5. Well‐posedness of diffusion–aggregation equations with bounded kernels and their mean‐field approximations;Mathematical Methods in the Applied Sciences;2024-04-18