Asymptotic behavior of a sequence of conditional probability distributions and the canonical ensemble

DOI10.1007/s00023-020-01011-2zbMath1481.60020arXiv1912.11137OpenAlexW3118762681MaRDI QIDQ2025618

Yizhe Zhu, Yu-Chen Cheng, Hong Qian

Publication date: 14 May 2021

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.11137

zbMATH Keywords

canonical ensembleGibbs conditioning principle

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Large deviations (60F10) Classical equilibrium statistical mechanics (general) (82B05) Statistical thermodynamics (82B30)

Cites Work

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• Comparison of quenched and annealed invariance principles for random conductance model
• Gibbs measures and phase transitions.
• Microcanonical distributions for lattice gases
• Equivalence and nonequivalence of ensembles: thermodynamic, macrostate, and measure levels
• A conditional law of large numbers
• Rates of convergence for conditional expectations
• Half a century with probability theory: Some personal recollections
• The central limit theorem and the problem of equivalence of ensembles
• The equivalence of ensembles for classical systems of particles.
• On the local equivalence between the canonical and the microcanonical ensembles for quantum spin systems
• Refinements of the Gibbs conditioning principle
• Information Theory and Statistical Mechanics
• Asymptotic evaluation of certain markov process expectations for large time. IV
• Maximum entropy and conditional probability
• Probability Theory
• Probability for Statisticians
• Statistical Mechanics of Lattice Systems

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