Power-law exponent of the Bouchaud-Mézard model on regular random networks.

Abstract

We study the Bouchaud-Mézard model on a regular random network. By assuming adiabaticity and independency, and utilizing the generalized central limit theorem and the Tauberian theorem, we derive an equation that determines the exponent of the probability distribution function of the wealth as x→∞. The analysis shows that the exponent can be smaller than 2… (More)

Cite this paper

@article{Ichinomiya2013PowerlawEO, title={Power-law exponent of the Bouchaud-M{\'e}zard model on regular random networks.}, author={Takashi Ichinomiya}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2013}, volume={88 1}, pages={012819} }