Abstract
Terrorist attacks, floods, nuclear power meltdowns, economic collapses, political disruptions and natural events like earthquakes come and go in waves—they are bursty. Why? The modern world differs from previous generations mainly due to vast network connections that replace independent random events with highly dependent conditional events. The 21st century is an age of lop-sided long-tailed probability distributions rather than the classical Normal distribution. Like episodic waves striking the beach, modern day events come and go in bursts—most are clustered together in time and space, but occasional bursts are separated in time, space, and consequence. This model of reality is called punctuated reality, because of the wave-like behavior of the complex systems found everywhere in modern life.
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Notes
- 1.
Changes in a stock price obey a long-tailed distribution and so do wave intervals.
- 2.
As I will show, the rules governing much of modernity are non-parametric, non-linear, scalable, conditional, and regulated largely by extreme statistics.
- 3.
Caneva and Smirnov (2004).
Reference
Caneva, Alexander, and Vladimir Smirnov, “Using the Fractal Dimension of Earthquake Distributions and the Slope of the Recurrence Curve to Forecast Earthquakes in Columbia”, Earth Sci. Res. J. Vol. 8, No. 1 (Dec. 2004) : 3–9.
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Lewis, T.G. (2014). Waves. In: Book of Extremes. Copernicus, Cham. https://doi.org/10.1007/978-3-319-06926-5_1
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DOI: https://doi.org/10.1007/978-3-319-06926-5_1
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