A central limit theorem for Gibbs measures relative to Brownian motion

DOI10.1007/s00440-004-0381-8zbMath1071.60072arXivmath/0308193OpenAlexW2066561650MaRDI QIDQ1780984

Herbert Spohn, Volker Betz

Publication date: 15 June 2005

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0308193

zbMATH Keywords

functional central limit theoremrandom fieldrandom environmentdiffusion matrixpair potentialinfinite-dimensional Ornstein-Uhlenbeck process

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Brownian motion (60J65) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Other physical applications of random processes (60K40) Functional limit theorems; invariance principles (60F17)

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Cites Work

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• Inequalities for the Schatten p-norm. III
• Generalized Ornstein-Uhlenbeck processes and infinite particle branching Brownian motions

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