Competition and fragmentation: a simple model generating lognormal-like distributions

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Item Type:	Article
Type of entry:	Secondary publication
Title:	Competition and fragmentation: a simple model generating lognormal-like distributions
Language:	English
Date:	5 March 2024
Place of Publication:	Darmstadt
Year of primary publication:	14 September 2009
Place of primary publication:	London
Publisher:	IOP Publishing
Journal or Publication Title:	New Journal of Physics
Volume of the journal:	11
Issue Number:	9
Collation:	14 Seiten
DOI:	10.26083/tuprints-00020560
Corresponding Links:	Publisher-DOI
Origin:	Secondary publication DeepGreen
Abstract:	The current distribution of language size in terms of speaker population is generally described using a lognormal distribution. Analyzing the original real data we show how the double-Pareto lognormal distribution can give an alternative fit that indicates the existence of a power law tail. A simple Monte Carlo model is constructed based on the processes of competition and fragmentation. The results reproduce the power law tails of the real distribution well and give better results for a poorly connected topology of interactions.
Identification Number:	Artikel-ID: 093006
Status:	Publisher's Version
URN:	urn:nbn:de:tuda-tuprints-205605
Classification DDC:	500 Science and mathematics > 530 Physics
Divisions:	05 Department of Physics > Institute of Applied Physics
Date Deposited:	05 Mar 2024 10:15
Last Modified:	05 Mar 2024 10:15
SWORD Depositor:	Deep Green
URI:	https://tuprints.ulb.tu-darmstadt.de/id/eprint/20560
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