The relationship between the Fermi-Dirac distribution and statistical distributions in languages

DOI10.1134/S0001434617030221zbMath1388.82011MaRDI QIDQ2364562

V. P. Maslov

Publication date: 21 July 2017

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

number theoryisothermnumber of degrees of freedomFermi-Dirac distributionBose-Einstein distributionZipf lawtropical topologyfrequency dictionaryfrequency of occurrencestatistical language distributionstop-wordtelegraphic styletropical analysisVan-der-Waals model

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Classical and relativistic thermodynamics (80A10) Miscellaneous applications of number theory (11Z05) Natural language processing (68T50) Statistical thermodynamics (82B30)

Related Items (6)

Remarks on number theory and thermodynamics underlying statistical distributions in languages ⋮ A generalized number theory problem applied to ideal liquids and to terminological lexis ⋮ Calculating eigenvalues of many-body systems from partition functions ⋮ Canonical partition functions: ideal quantum gases, interacting classical gases, and interacting quantum gases ⋮ A statistical mechanical approach to restricted integer partition functions ⋮ Unified framework for generalized statistics: canonical partition function, maximum occupation number, and permutation phase of wave function

Cites Work

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• On Zipf's law and rank distributions in linguistics and semiotics
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• Limit distribution of the energy of a quantum ideal gas from the viewpoint of the theory of partitions of natural numbers
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