On a probabilistic derivation of the basic particle statistics (Bose–Einstein, Fermi–Dirac, canonical, grand-canonical, intermediate) and related distributions

DOI10.1090/mosc/316zbMath1490.82002arXiv2004.03632OpenAlexW3015877461MaRDI QIDQ5082251

Vassili N. Kolokol'tsov

Publication date: 16 June 2022

Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.03632

zbMATH Keywords

canonical ensemblegrand-canonical ensembleintermediate statisticscorrelated statisticsBose-Einstein and Fermi-Dirac distributions

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Foundations of equilibrium statistical mechanics (82B03)

Cites Work

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• Taking parastatistical corrections to the Bose-Einstein distribution into account in the quantum and classical cases
• A probabilistic foundation of elementary particle statistics. I
• A probabilistic foundation of elementary particle statistics. II.
• The quantum nature of identity in human thought: Bose-Einstein statistics for conceptual indistinguishability
• Exact Maxwell-Boltzmann, Bose-Einstein and Fermi-Dirac statistics
• W. E. Johnson's sufficientness postulate
• The end of statistical independence: the story of Bose-Einstein statistics
• On a general theorem of set theory leading to the Gibbs, Bose-Einstein, and Pareto distributions as well as to the Zipf-Mandelbrot law for the stock market

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