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.

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
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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/

[1] Gurevich V., Volmen G., Teoriya razmernostei, M., 1948

[2] Maslov V. P., “Nelineinoe srednee v ekonomike”, Matem. zametki, 78:3 (2005), 377–395 | MR | Zbl

[3] Maslov V. P., “Zakon bolshikh uklonenii v teorii chisel. Vychislimaya funktsiya ot mnogikh argumentov i dekodirovanie”, Dokl. RAN, 404:6 (2005), 731–736 | MR

[4] Koval G. V., Maslov V. P., “Ob otsenkakh dlya bolshoi statisticheskoi summy” (to appear)

[5] Mandelbrot B., “Structure formelle des textes et communication”, Word, 10 (1), New York, 1954

[6] Maslov V. P., “Printsip vozrastaniya slozhnosti formirovanii portfelya na fondovoi birzhe”, Dokl. RAN, 404:4 (2005), 446–450 | MR

[7] Maslov V. P., “Utochnenie zakona Tsipfa dlya chastotnykh slovarei i fondovoi birzhi”, Dokl. RAN, 405:5 (2005), 591–594 | MR