On the fluctuations about the Vlasov limit for \(N\)-particle systems with mean-field interactions
type: Item
instance of: scholarly article
title: On the fluctuations about the Vlasov limit for \(N\)-particle systems with mean-field interactions
zbMATH Open document ID: 1185.82056
author: Carlo Lancellotti
published in: Journal of Statistical Physics
publication date: 2009-11-04T00:00:00Z
review text: The intention is to provide a complete simple proof of a general theorem describing the evolution of a given initial fluctuation field for the particle density in phase space and to characterize the most general class of initial symmetric probability measures that lead to the same Gaussian random field (in the infinite-particle limit) when the initial phase space coordinates of the particles are assumed to be random variables (which makes the standard central limit theorem applicable).
Mathematics Subject Classification ID: 82D10
Mathematics Subject Classification ID: 35Q83
Mathematics Subject Classification ID: 60F05
zbMATH DE Number: 5625022
zbMATH Keywords: Vlasov equation
zbMATH Keywords: mean-field limit
zbMATH Keywords: central limit theorems
zbMATH Keywords: fluctuation dynamics
zbMATH Keywords: Sznitman-Tanaka theorem
reviewed by: Iván Abonyi
MaRDI profile type: Publication
full work available at URL: s10955-009-9800-7
OpenAlex ID: W2136402916
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DOI: 10.1007/S10955-009-9800-7
description: scientific article; zbMATH DE number 5625022