Hierarchical structures in Complex Systems: from DNA to financial markets

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Abstract

In this paper we discuss the concepts of short-range and long-rangecorrelated stochastic processes and we investigate the presence of such variables in two model complexsystems. The selected model systems are DNA sequencesof complete genomes and financial time series of equities traded in a stock market. Specifically, by starting from our research results, we discuss the statistical properties of (i) coding and non-coding regions of DNA and (ii) equity returns and volatility in financialmarkets. The stylized facts about these variables are presented anddiscussed with a focus on the statistical tools already used and/or still needed to better characterize these model complex systems.
Original languageEnglish
Pages62-79
Number of pages18
Publication statusPublished - 2000

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