"From Gauss to Zipf: Statistics of Complex Systems" - CSH

“From Gauss to Zipf: Statistics of Complex Systems”


Dec 03, 2019 | 11:1512:15

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CSH President Stefan Thurner‘s talk “From Gauss to Zipf: Statistics of Complex Systems” will take place at Max-Planck-Institut für Dynamik und Selbstorganisation (MPIDS) on Dec. 03, 2019.

 

Abstract:

 

Complex systems are typically characterized by non-Gaussian statistics that are often fat tailed and power-law-like. To understand the origin of these statistics, we present a simple theory of driven out-of-equilibrium systems which are often at the core of complex adaptive systems. We review that driven systems that are composed of a driving process and a relaxation process, generically produce power law distributions for low driving rates.

 

From the interplay of the driving rate with the relaxa-tion processes we are able to understand the dynamical origin of a variety of distribution functions, including the power law, the Gamma, the Weibull, the Tsallis, the stretched exponential, the log-normal and many more distribution functions. We show simple examples where these insights are practically applicable, such as in understanding statistics of search processes, sentence formation, fragmentation phenomena, or the energy distribution of cosmic rays.

Details

Date
Dec 03, 2019
Time
11:15—12:15
Website
https://www.ds.mpg.de/events/20734/2643882

Venue

Max-Planck-Institut für Dynamik und Selbstorganisation (MPIDS)
Am Faßberg 17
Göttingen,37077Germany
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Phone
+49 551 51760
Website
https://www.ds.mpg.de/en