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arXiv · 1311.0822

Properties of maximum Lempel-Ziv complexity strings

C. A. J. Nunes·E. Estevez-Rams·B. Aragón Fernández·R. Lora Serrano
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Abstract

The properties of maximum Lempel-Ziv complexity strings are studied for the binary case. A comparison between MLZs and random strings is carried out. The length profile of both type of sequences show different distribution functions. The non-stationary character of the MLZs are discussed. The issue of sensitiveness to noise is also addressed. An empirical ansatz is found that fits well to the Lempel-Ziv complexity of the MLZs for all lengths up to $10^6$ symbols.

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C. A. J. Nunes, E. Estevez-Rams, B. Aragón Fernández, R. Lora Serrano. 2013-11-04. Properties of maximum Lempel-Ziv complexity strings. https://arxiv.org/abs/1311.0822

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