Weak quantitative propagation of chaos via differential calculus on the space of measures

Author:

Chassagneux Jean-François1,Szpruch Lukasz2,Tse Alvin2

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, 19541955, 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.

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