Power law in random multiplicative processes with spatio-temporal correlated multipliers
Department of Mathematical and Systems Engineering, Shizuoka University - Hamamatsu, 432-8561, Japan
Received: 18 November 2015
Accepted: 26 February 2016
It is well known that random multiplicative processes generate power-law probability distributions. We study how the spatio-temporal correlation of the multipliers influences the power-law exponent. We investigate two sources of the time correlation: the local environment and the global environment. In addition, we introduce two simple models through which we analytically and numerically show that the local and global environments yield different trends in the power-law exponent.
PACS: 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 02.50.-r – Probability theory, stochastic processes, and statistics / 89.65.Gh – Economics; econophysics, financial markets, business and management
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