The DOI matches its Crossref record; 91 of the 91 references it cites were found in a registry or an index.
Fluctuation scaling in complex systems: Taylor's law and beyond1
Open accessAbstract
Complex systems consist of many interacting elements which participate in some dynamical process. The activity of various elements is often different and the fluctuation in the activity of an element grows monotonically with the average activity. This relationship is often of the form ‘fluctuations ≈ constant × averageα’, where the exponent α is predominantly in the range [1/2, 1]. This power law has been observed in a very wide range of disciplines, ranging from population dynamics through the Internet to the stock market and it is often treated under the names Taylor's law or fluctuation scaling. This review attempts to show how general the above scaling relationship is by surveying the literature, as well as by reporting some new empirical data and model calculations. We also show some basic principles that can underlie the generality of the phenomenon. This is followed by a mean-field framework based on sums of random variables. In this context the emergence of fluctuation scaling is equivalent to some corresponding limit theorems. In certain physical systems fluctuation scaling can be related to finite size scaling.
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Cited by
Osimo, E. F., Pillinger, T., Rodriguez, I. M., Khandaker, G. M., Pariante, C. M., & Howes, O. D. (2020) · Brain, Behavior, and Immunity · doi:10.1016/j.bbi.2020.02.010 · Cited by 937
Pillinger, T., Osimo, E. F., Brugger, S., Mondelli, V., McCutcheon, R. A., & Howes, O. D. (2019) · Schizophrenia Bulletin · doi:10.1093/schbul/sby160 · Cited by 190
Ma, Z. (2020) · arXiv · doi:10.48550/arxiv.2003.03714 · Cited by 10
Metadata
- Authors
- Eisler, Z., Bartos, I., & Kertész, J.
- Venue
- Advances in Physics
- Publisher
- Informa UK Limited
- Published
- 2008-01
- Volume
- 57
- Issue
- 1
- Pages
- 89-142
- ISSN
- 0001-8732 (ISSN-L)
- 1460-6976
- OpenAlex
- W1964274103
- Cited by
- 368
- References
- 91
- FWCI
- 21.23
- Type
- journal article
- Language
- en
- Open access
- green
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