Author： Morita Satoru
Publisher： Edp Sciences
E-ISSN： 1286-4854|113|4|40007-40007
ISSN： 0295-5075
Source： EPL (EUROPHYSICS LETTERS), Vol.113, Iss.4, 2016-03, pp. : 40007-40007
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Abstract
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.
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