Large deviations for trapped interacting Brownian particles and paths

DOI10.1214/009117906000000214zbMath1105.60021arXivmath/0411660OpenAlexW3103708220MaRDI QIDQ850972

Jean-Bernard Bru, Wolfgang König, Stefan Adams

Publication date: 8 November 2006

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411660

zbMATH Keywords

occupation measureenergy functionalsGross-Pitaevskii functionalinteracting Brownian motions

Mathematics Subject Classification ID

Brownian motion (60J65) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Large deviations (60F10) Phase transitions (general) in equilibrium statistical mechanics (82B26) Quantum equilibrium statistical mechanics (general) (82B10)

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Large deviations in weakly interacting fermions: Generating functions as Gaussian Berezin integrals and bounds on large Pfaffians ⋮ Phase uniqueness for the Mallows measure on permutations ⋮ Large deviation principle for the intersection measure of Brownian motions on unbounded domains ⋮ Large deviations for symmetrised empirical measures ⋮ Space-time random walk loop measures ⋮ Large deviations for many Brownian bridges with symmetrised initial-terminal condition ⋮ Functional integral and stochastic representations for ensembles of identical bosons on a lattice ⋮ Asymptotic Feynman-Kac formulae for large symmetrised systems of random walks ⋮ Gibbs measures on permutations over one-dimensional discrete point sets

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