@article{e063ff160afb40a8a730857f33cefb34,
title = "Quantitative Uniform Propagation of Chaos for Maxwell Molecules",
abstract = "We prove propagation of chaos at explicit polynomial rates in Wasserstein distance W2 for Kac{\textquoteright}s N-particle system associated with the spatially homogeneous Boltzmann equation for Maxwell molecules. Our approach is mainly based on novel probabilistic coupling techniques. Combining them with recent stabilization results for the particle system we obtain, under suitable moments assumptions on the initial distribution, a uniform-in-time estimate of order almost N- 1 / 3 for W22.",
author = "Roberto Cortez and Joaquin Fontbona",
note = "Funding Information: Acknowledgements. R.C.{\textquoteright}s research was partially supported by Mecesup UCH0607 Doctoral Fellowship, BASAL-Conicyt Center for Mathematical Modeling (CMM), ICM Millennium Nucleus NC120062 and Fondecyt Postdoctoral Proyect 3160250. J.F. acknowledges partial support from Fondecyt Project 1150570, ICM Millennium Nucleus NC120062 and BASAL-Conicyt CMM. Both authors thank Nicolas Fournier for exchanges of mutual interest. We also thank anonymous referees for pointing out to us the reference [3], for suggesting the use of the distance W2 to simplify the proof of Theorem 2 and for other suggestions that allowed us to improve the presentation of the paper.",
year = "2018",
month = feb,
day = "1",
doi = "10.1007/s00220-018-3101-4",
language = "English",
volume = "357",
pages = "913--941",
journal = "Communications in Mathematical Physics",
issn = "0010-3616",
publisher = "Springer New York",
number = "3",
}