Geodesic
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
Matematičeskie zametki, Tome 78 (2005) no. 6, pp. 870-877

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The notion of density of a finite set is introduced. We prove a general theorem of set theory which refines the Gibbs, Bose–Einstein, and Pareto distributions as well as the Zipf law. 
@article{MZM_2005_78_6_a6,
     author = {V. P. Maslov},
     title = {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}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {870--877},
     publisher = {mathdoc},
     volume = {78},
     number = {6},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2005_78_6_a6/}
}
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V. P. Maslov. 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. Matematičeskie zametki, Tome 78 (2005) no. 6, pp. 870-877. http://geodesic.mathdoc.fr/item/MZM_2005_78_6_a6/