Quantitative propagation of chaos for generalized Kac particle systems
type: Item
instance of: scholarly article
title: Quantitative propagation of chaos for generalized Kac particle systems
zbMATH Open document ID: 1339.60138
DOI: 10.1214/15-AAP1107
author: Roberto Cortez
author: Joaquin Fontbona
published in: The Annals of Applied Probability
publication date: 2016-06-09T00:00:00Z
full work available at URL: https://arxiv.org/abs/1406.2115
full work available at URL: https://projecteuclid.org/euclid.aoap/1458651823
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 82C22
Mathematics Subject Classification ID: 82C40
Mathematics Subject Classification ID: 91B70
zbMATH DE Number: 6590326
zbMATH Keywords: generalized Kac particle systems
zbMATH Keywords: propagation of chaos
zbMATH Keywords: Kac equation
zbMATH Keywords: wealth distribution equations
zbMATH Keywords: Wasserstein distance
zbMATH Keywords: optimal coupling
MaRDI profile type: Publication
arXiv ID: 1406.2115
cites work: Q5441008
cites work: Central limit theorem for a class of one-dimensional kinetic equations
cites work: Quantitative and qualitative Kac's chaos on the Boltzmann's sphere
cites work: Propagation of chaos for the spatially homogeneous Landau equation for Maxwellian molecules
cites work: Probabilistic interpretation and numerical approximation of a Kac equation without cutoff
cites work: Measurability of optimal transportation and convergence rate for Landau type interacting particle systems
cites work: Asymptotic of grazing collisions and particle approximation for the Kac equation without Cutoff
cites work: On the rate of convergence in Wasserstein distance of the empirical measure
cites work: Rate of convergence of the Nanbu particle system for hard potentials and Maxwell molecules
cites work: A certain class of diffusion processes associated with nonlinear parabolic equations
cites work: Stochastic particle approximations for generalized Boltzmann models and convergence estimates
cites work: Solving Landau equation for some soft potentials through a probabilistic approach.
cites work: On Kac's chaos and related problems
cites work: Q3236483
cites work: Q2774021
cites work: On steady distributions of kinetic models of conservative economies
cites work: Kac's program in kinetic theory
cites work: Asymptotic properties of the inelastic Kac model
cites work: Mass transportation problems. Vol. 1: Theory. Vol. 2: Applications
cites work: Q3358031
cites work: Q3852918
cites work: Probabilistic treatment of the Boltzmann equation of Maxwellian molecules
cites work: Optimal Transport
OpenAlex ID: W3098497703
description: scientific article; zbMATH DE number 6590326