Asymptotic Feynman-Kac formulae for large symmetrised systems of random walks

DOI10.1214/07-AIHP132zbMath1186.60020arXivmath-ph/0610026OpenAlexW2112933542MaRDI QIDQ731703

Stefan Adams, Tony C. Dorlas

Publication date: 8 October 2009

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0610026

zbMATH Keywords

large deviationsBose-Einstein statisticsFeynman-Kac formulaDonsker-Varadhan functionlarge systems of random processes with symmetrised initial-terminal conditionsnon-commutative Varadhan Lemmaquantum Spin systems

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)

Related Items (6)

Large deviations analysis for random combinatorial partitions with counter terms ⋮ Phase uniqueness for the Mallows measure on permutations ⋮ A variational formula for the free energy of an interacting many-particle system ⋮ Large deviations for symmetrised empirical measures ⋮ Interplay of analysis and probability in applied mathematics. Abstracts from the workshop held February 11--17, 2018 ⋮ Space-time random walk loop measures

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