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”, Mat. Zametki, 2005, Volume 78, Issue 6,Pages <nobr>870

This article is cited in 43 papers

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

V. P. Maslov

M. V. Lomonosov Moscow State University, Faculty of Physics

Abstract: 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.

UDC: 519

Received: 21.10.2005

DOI: 10.4213/mzm2659