Effects of Randomness on Power Law Tails in Multiplicatively Interacting Stochastic Processes

Details Effects of Randomness on Power Law Tails in Multiplicatively Interacting Stochastic Processes Effects of Randomness on Power Law Tails in Multiplicatively Interacting Stochastic Processes

2003-12-15

arxiv.org/abs/cond-mat/0312357v1

Physics

Condensed Matter

Statistical Mechanics

7pages

Scientific paper

10.1016/j.physleta.2004.03.013

Effects of randomness on non-integer power law tails in multiplicatively interacting stochastic processes are investigated theoretically. Generally, randomness causes decrease of the exponent of tails and the growth rate of processes. Explicit calculations are performed for two examples: uniformly distributed and two peaked systems. Significant influence is demonstrated when a bare growth rate is low and coupling is weak. It should be emphasized that even the sign of the growth rate can be changed from positive to negative growth.

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