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Random walk and 1/f noise

by: Carolyne M. Van Vliet
Physica A: Statistical Mechanics and its Applications, Vol. 303, No. 3-4. (January 2002), pp. 421-426, doi:10.1016/s0378-4371(01)00489-7  Key: citeulike:11418094

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Abstract

Older and recent papers have claimed that a 1/f spectrum can be associated with a sum of pulses arising from a one-dimensional diffusion process. This claim is fallacious since diffusion refers to a collective stochastic process, being the sum of random flights, which constitute the “elementary events”.


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