Fractals of forbidden words and approximating their box dimensions

This paper provides the construction of the fractals defined by more than two forbidden words. Some properties of the table structure in the Hao’s frame representation are emphasized because they are the key to drawing the fractals. The recurrence formula are not only used in the enumeration, but also applied to derive the characteristic equations. Furthermore, a more efficient method of approximating their box dimensions is presented.

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Year of publication:	2008
Authors:	Huang, Cheng-Xing ; Peng, Shou-Li
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 387.2008, 2, p. 703-716
Publisher:	Elsevier
Subject:	Forbidden words \| Fractal \| Box dimension \| Recurrence formulae \| Characteristic equation \| Approximating

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://ebvufind01.dmz1.zbw.eu/10010872653