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Power laws from randomly sampled continuous-time random walks
详细信息
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作者:
Giancarlo Mosetti
;
Giancarlo Jug
;
Enrico
Scalas
关键词:
Continuous-time random walks
;
Population dynamics
;
Power laws
刊名:Physica A
出版年:2007
出版时间:15 February 2007
年:2007
卷:375
期:1
页码:233-238
全文大小:846 K
文摘
It has been shown by Reed that random-sampling a Wiener process
x
(
t
) at times
T
chosen out of an exponential distribution gives rise to power laws in the distribution
P
(
x
(
T
))
x
(
T
)
-
β
. We show, both theoretically and numerically, that this power-law behaviour also follows by random-sampling Lévy flights (as continuous-time random walks), having Fourier distribution
, with the exponent
β
=
α
.
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