Geodesic
A refinement of the Zipf–Mandelbrot law and the lacunarity in an
Teoretičeskaâ i matematičeskaâ fizika, Tome 147 (2006) no. 3, pp. 511-512 Cet article a éte moissonné depuis la source Math-Net.Ru

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The Zipf–Mandelbrot formula for occurrence frequencies is refined and is applied to an ideal gas. This refinement essentially affects the value of the prefactor $c_2$ and consequently the value of the lacunarity.
Keywords: Zipf–Mandelbrot law, ideal gas, prefactor, lacunarity. 
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V. P. Maslov. A refinement of the Zipf–Mandelbrot law and the lacunarity in an. Teoretičeskaâ i matematičeskaâ fizika, Tome 147 (2006) no. 3, pp. 511-512. http://geodesic.mathdoc.fr/item/TMF_2006_147_3_a8/

[1] B. Mandelbrot, Fraktalnaya geometriya prirody, Institut kompyuternykh issledovanii, M., 2002

[2] E. Mendelson, Vvedenie v matematicheskuyu logiku, Nauka, M., 1976 | MR

[3] L. D. Landau, E. M. Lifshits, Statisticheskaya fizika, Nauka, M., 1964 | Zbl

[4] V. P. Maslov, TMF, 145:3 (2005), 433–436 | DOI | MR | Zbl