Experimental observation of Zipf–Mandelbrot relation

Kai de Lange Kristiansen, Geir Helgesen and Arne T. Skjeltorp

Physica A: Statistical Mechanics and its Applications, 2004, vol. 335, issue 3, 413-420

Abstract: We study the dynamics of a few-body system of microparticles using rank-ordering statistics. This dynamical system is made up of micrometer sized plastic spheres dispersed in a ferrofluid driven by external magnetic fields. The world lines of the microspheres are captured and the dynamical modes are described by mathematical braid theory. Rank-ordering statistics on these modes shows a large power-law region consistent with the Zipf–Mandelbrot relation.

Keywords: Microparticle dynamics; Rank-ordering statistics; Braid theory; Zipf–Mandelbrot relation (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:335:y:2004:i:3:p:413-420

DOI: 10.1016/j.physa.2003.12.024

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