On a General Theorem of Number Theory Leading to the Gibbs, Bose--Einstein, and Pareto Distributions as well as to the Zipf--Mandelbrot Law for the Stock Market

Details On a General Theorem of Number Theory Leading to the Gibbs, Bose--Einstein, and Pareto Distributions as well as to the Zipf--Mandelbrot Law for the Stock Market On a General Theorem of Number Theory Leading to the Gibbs, Bose--Einstein, and Pareto Distributions as well as to the Zipf--Mandelbrot Law for the Stock Market

2006-01-02

arxiv.org/abs/physics/0601005v1

Physics

Physics and Society

Latex, 10p

Scientific paper

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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