Weak quantitative propagation of chaos via differential calculus on the space of measures
Author:
Affiliation:
1. LPSM, Université de Paris
2. School of Mathematics, University of Edinburgh
Publisher
Institute of Mathematical Statistics
Subject
Statistics, Probability and Uncertainty,Statistics and Probability
Reference41 articles.
1. Dawson, D. A. (1993). Measure-valued Markov processes. In École D’Été de Probabilités de Saint-Flour XXI—1991. Lecture Notes in Math. 1541 1–260. Springer, Berlin.
2. KAC, M. (1956). Foundations of kinetic theory. In Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability, 1954–1955, Vol. III 171–197. Univ. California Press, Berkeley and Los Angeles, CA.
3. BENCHEIKH, O. and JOURDAIN, B. (2019). Bias behavior and antithetic sampling in mean-field particle approximations of SDEs nonlinear in the sense of McKean. In CEMRACS 2017—Numerical Methods for Stochastic Models: Control, Uncertainty Quantification, Mean-Field. ESAIM Proc. Surveys 65 219–235. EDP Sci., Les Ulis.
4. CHASSAGNEUX, J.-F., CRISAN, D. and DELARUE, F. (2014). A probabilistic approach to classical solutions of the master equation for large population equilibria. arXiv preprint arXiv:1411.3009.
5. DE RAYNAL, P.-E. C. and FRIKHA, N. (2018). Well-posedness for some non-linear diffusion processes and related PDE on the Wasserstein space. arXiv preprint, arXiv:1811.06904.
Cited by 13 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. On the optimal rate for the convergence problem in mean field control;Journal of Functional Analysis;2024-12
2. Gradient Flows for Regularized Stochastic Control Problems;SIAM Journal on Control and Optimization;2024-07-10
3. On some mean field games and master equations through the lens of conservation laws;Mathematische Annalen;2024-04-16
4. A comparison principle for semilinear Hamilton–Jacobi–Bellman equations in the Wasserstein space;Calculus of Variations and Partial Differential Equations;2024-04-13
5. Particle method and quantization-based schemes for the simulation of the McKean-Vlasov equation;ESAIM: Mathematical Modelling and Numerical Analysis;2024-03
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3