EAN: 9783110534115

Bilder-Quelle: discount24.de - Sport-Freizeit

Complexity increases with increasing system size in everything from organisms to organizations. The nonlinear dependence of a system's functionality on its size by means of an allometry relation is argued to be a consequence of their joint dependency on complexity (information). In turn complexity is proven to be the source of allometry and to provide a new kind of force entailed by a system's information gradient. Based on first principles the scaling behavior of the probability density function is determined by the exact solution to a set of fractional differential equations. The resulting lowest order moments in system size and functionality gives rise to the empirical allometry relations. Taking examples from various topics in nature the book is of interest to researchers in applied mathematics as well as investigators in the natural social physical and life sciences. ContentsComplexityEmpirical allometryStatistics scaling and simulationAllometry theoriesStrange kineticsFractional probability calculus

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