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Lacunarity exponents

Wilkinson, Michael; Pradas, Marc; Huber, Greg and Pumir, Alain (2019). Lacunarity exponents. Journal of Physics A: Mathematical and Theoretical, 52(11), article no. 115101.

DOI (Digital Object Identifier) Link: https://doi.org/10.1088/1751-8121/ab0349
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Abstract

Many physical processes result in very uneven, apparently random, distributions of matter, characterised by fluctuations of the local density varying over orders of magnitude. The density of matter in the sparsest regions can have a powerlaw distribution, with an exponent that we term the lacunarity exponent. We discuss a mechanism which explains the wide occurrence of these power laws, and give analytical expressions for the exponent in some simple models.

Item Type: Journal Item
Copyright Holders: 2019 IOP Publishing Ltd
ISSN: 1751-8121
Keywords: chaos; fractals; lacunarity
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Related URLs:
Item ID: 59345
Depositing User: ORO Import
Date Deposited: 28 Feb 2019 10:36
Last Modified: 29 Mar 2019 11:59
URI: http://oro.open.ac.uk/id/eprint/59345
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