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Complex Systems with Trivial Dynamics

  • Ricardo López-RuizEmail author
Conference paper
Part of the Springer Proceedings in Complexity book series (SPCOM)

Abstract

In this communication, complex systems with a near trivial dynamics are addressed. First, under the hypothesis of equiprobability in the asymptotic equilibrium, it is shown that the (hyper) planar geometry of an N-dimensional multi-agent economic system implies the exponential (Boltzmann-Gibss) wealth distribution and that the spherical geometry of a gas of particles implies the Gaussian (Maxwellian) distribution of velocities. Moreover, two non-linear models are proposed to explain the decay of these statistical systems from an out-of-equilibrium situation toward their asymptotic equilibrium states.

Keywords

Statistical models Equilibrium distributions Decay toward equilibrium Nonlinear models 

Notes

Acknowledgements

Several collaborators have participated in the development of different aspects of this line of research. Concretely, X. Calbet, J. Sañudo, J.L. Lopez and E. Shivanian. See the references.

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Copyright information

© Springer International Publishing Switzerland 2013

Authors and Affiliations

  1. 1.Dept. of Computer Science, Faculty of Science and BifiUniversidad de ZaragozaZaragozaSpain

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