A functional central limit theorem for a nonequilibrium model of interacting particles with unbounded intensity

DOI10.1007/BF01048053zbMath1099.82508OpenAlexW2010817202MaRDI QIDQ2499867

Gaston Giroux, Xavier Fernique, Paul Hubert Bézandry

Publication date: 23 August 2006

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01048053

zbMATH Keywords

weak convergenceBoltzmann equationMarkov processfluctuationunbounded intensity nonlinear evolution equation

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (3)

A functional law of large numbers for Boltzmann type stochastic particle systems ⋮ A Hilbertian approach for fluctuations on the McKean-Vlasov model ⋮ A Propagation of Chaos Related to the Continuity Laws

Cites Work

• Fluctuations of Markovian systems in Kac's caricature of a Maxwellian gas
• A convergence proof for Bird's direct simulation Monte Carlo method for the Boltzmann equation
• Multipliers on locally compact groups
• [https://portal.mardi4nfdi.de/wiki/Publication:3347061 �quations de type de Boltzmann, spatialement homog�nes]
• Compactness of the Fluctuations Associated with some Generalized Nonlinear Boltzmann Equations
• Binomial Boltzmann processes: Convergence of the fluctuations
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