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- W2144920173 abstract "This paper presents an extended mathematical base for the interpretation of cluster processes in introducing an intermittent stochastic process; this is characterized by clusters of events being separated by distinct breaks so-called intermissions. The spectral features of such an intermittent process are investigated for the case that either intermission δ or duration of cluster τ c is power-law distributed like t z . Correspondingly, a spectral shape like 1/f b(z) is found; a pure 1/f shape (b=1) is obtained for z = -2. The most striking result is the dependence of exponent b(z) on quotient δ/τ c : we obtain b≤2 for δ > τ c and b≤ 1 for δ < τ c . This behavior is explained by mutual time relations between clusters which cannot be neglected in case intermissions are small in comparison to duration of clusters (δ < τ c ). The conditions under which superimposed intermittent processes converge to the clustering Poisson process exhibiting 1/f noise are investigated. Possible applications are discussed for 1/f noise in neuronal spike trains, ionic channels, on-off intermittency and semiconductors." @default.
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- W2144920173 date "2001-06-01" @default.
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- W2144920173 title "1/f NOISE, INTERMITTENCY AND CLUSTERING POISON PROCESS" @default.
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- W2144920173 doi "https://doi.org/10.1142/s0219477501000238" @default.
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