On the construction of point processes in statistical mechanics

DOI10.1063/1.4807724zbMath1285.82026OpenAlexW1982101616MaRDI QIDQ5402314

Hans Zessin, Suren K. Poghosyan, Benjamin Nehring

Publication date: 6 March 2014

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

Full work available at URL: https://semanticscholar.org/paper/5a1eec66c4125affbf1bf5102a312c2d50a361e1

zbMATH Keywords

point processgibbs perturbationGinibre Bose gasGinibre's Fermi-Dirac gas

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Stochastic methods applied to problems in equilibrium statistical mechanics (82B31) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (6)

An explicit Dobrushin uniqueness region for Gibbs point processes with repulsive interactions ⋮ On quasi-infinitely divisible random measures ⋮ A micro-macro variational formula for the free energy of a many-body system with unbounded marks ⋮ Splitting-characterizations of the Papangelou process ⋮ Cluster Expansions for GIBBS Point Processes ⋮ Revisiting Groeneveld’s approach to the virial expansion

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• Poisson point processes with exclusion
• Reduced Density Matrices of Quantum Gases. I. Limit of Infinite Volume
• Construction of point processes for classical and quantum gases
• Two theorems on classical many-particle systems

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