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Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Mar;83(3 Pt 1):031118. Epub 2011 Mar 16.

Origin of lognormal-like distributions with a common width in a growth and division process.

Author information

1
Department of Bioinformatic Engineering, Graduate School of Information Science and Technology, Osaka University, 1-5 Yamadaoka, Suita, Osaka 565-0871, Japan.

Abstract

Lognormal statistical distributions are observed in a variety of scientific fields. The widths of these distributions in the log scale are often similar, but the underlying mechanism that maintains these widths within a small range has not been well explained. We show that a stochastic process of halving followed by addition can yield a stationary distribution that resembles the universal lognormal distribution with a certain width. The mechanism that we propose here would provide insight into the essence of why lognormal-like distributions in many systems have a common width.

PMID:
21517465
DOI:
10.1103/PhysRevE.83.031118
[Indexed for MEDLINE]

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