Thursday, October 25, 2012

1210.6481 (Ricardo Lopez-Ruiz)

Complex Systems with Trivial Dynamics    [PDF]

Ricardo Lopez-Ruiz
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.
View original: http://arxiv.org/abs/1210.6481

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