@inproceedings{ff339af2c06b4794a3326d7b6d7439c5,
title = "From molecular dynamics to kinetic theory and hydrodynamics",
abstract = "In these notes we present the main ingredients of the proof of the convergence of the distribution function of a tagged particle in a background initially at equilibrium, towards the solution to the heat equation. We also show how the process associated with the tagged particle converges in law towards a Brownian motion.",
keywords = "BBGKY hierarchy, Boltzmann equation, Branching process, Brownian motion, Heat equation, Low density limit",
author = "Thierry Bodineau and Isabelle Gallagher and Laure Saint-Raymond",
note = "Publisher Copyright: {\textcopyright} ICM 2014.All rights reserved.; 2014 International Congress of Mathematicans, ICM 2014 ; Conference date: 13-08-2014 Through 21-08-2014",
year = "2014",
month = jan,
day = "1",
language = "English",
series = "Proceeding of the International Congress of Mathematicans, ICM 2014",
publisher = "KYUNG MOON SA Co. Ltd.",
pages = "721--746",
editor = "Jang, \{Sun Young\} and Kim, \{Young Rock\} and Dae-Woong Lee and Ikkwon Yie",
booktitle = "Invited Lectures",
}