A review of the mean field limits for Vlasov equations
By Pierre-Emmanuel Jabin. 2014
173 citations recorded by the source corpus.
We review some classical and more recent results on the mean field limit and propagation of chaos for systems of many particles, leading to Vlasov or macroscopic equations.
Subfields: Applied Mathematics, Finance, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/dd28f101cce55436e3bc9b554ea762e23418609f
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
In Finance
In Statistical and Nonlinear Physics
Citations in the corpus
- Mean Field Limit for Stochastic Particle Systems (2017, background): “However we focus here on the stochastic case and refer to [35, 46] for a review of the mean field limit for deterministic systems.”
- Mean Field Limit and Propagation of Chaos for Vlasov Systems with Bounded Forces (2015, background): “We refer to [31] for a more thorough comparison.”
- Quantitative estimates of propagation of chaos for stochastic systems with W-1,∞\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{d (2017, background): “We refer to [41,55] for an introduction to the mean field question in this kinetic setting.”