Limit theorems for statistics of combinatorial partitions with applications to mean field Bose gas

DOI10.1063/1.1855933zbMath1067.82035OpenAlexW1991738196MaRDI QIDQ3024255

Errico Presutti, Immacolata Merola, G. Benfatto, Marzio Cassandro

Publication date: 30 June 2005

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

Full work available at URL: http://hdl.handle.net/2108/23743

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Combinatorial probability (60C05) Large deviations (60F10) Quantum equilibrium statistical mechanics (general) (82B10)

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Feynman cycles in the Bose gas ⋮ Large deviations analysis for random combinatorial partitions with counter terms ⋮ Emergence of interlacements from the finite volume Bose soup ⋮ A variational formula for the free energy of an interacting many-particle system ⋮ The small field parabolic flow for bosonic many-body models. I. Main results and algebra ⋮ Gaussian random permutation and the boson point process ⋮ An explicit large deviation analysis of the spatial cycle Huang-Yang-Luttinger model ⋮ Asymptotic Feynman-Kac formulae for large symmetrised systems of random walks ⋮ Relation between Feynman Cycles and Off-Diagonal Long-Range Order

Cites Work

• Unnamed Item
• Statistical mechanics of combinatorial partitions, and their limit shapes
• Bose-Einstein Condensation and Liquid Helium
• Percolation transition in the Bose gas: II

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