Large deviations for the occupation time functional of a Poisson system of independent Brownian particles

DOI10.1016/0304-4149(94)90024-8zbMath0813.60029OpenAlexW1995014300MaRDI QIDQ1338744

Kongming Wang, Jean-Dominique Deuschel

Publication date: 30 May 1995

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(94)90024-8

zbMATH Keywords

central limit theoremlarge deviationsmicrocanonical distributioninfinite particle systemoccupation time functional

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Brownian motion (60J65) Large deviations (60F10) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21)

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Cites Work

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• Large deviations for independent random walks
• Microcanonical distributions for lattice gases
• Large deviations for noninteracting infinite particle systems
• Large deviations for systems of noninteracting recurrent particles
• Occupation times in systems of null recurrent Markov processes
• A function space large deviation principle for certain stochastic integrals
• Large deviations for noninteracting infinite-particle systems
• Large deviations for Poisson systems of independent random walks
• Brownian local time