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1/f Fluctuations on a Chain of Causal Relationships (Ⅰ); Formalization
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Statistics and Probability
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Statistics and Probability
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Physical Sciences and Mathematics
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Applied Mathematics
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Model of 1/f Noise
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Model of 1/f Noise
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1/f Fluctuations on a Chain of Causal Relationships (Ⅰ); Formalization
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1/f fluctuation
causal relationship
branching process
formalization
1/f noise
model
binary branching
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2025-05-29
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Model of 1/f Noise
more details...
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Model of 1/f Noise
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In order to discuss the 1⁄f problem, the statistics of the branching process of a particle in a multiplicative medium is developed by taking into account random particle immigration. The probability distribution function of the number of particles found in the medium at any fixed time and/or of particles detected in a time interval is obtained in closed form. These results are applied to the case where exactly two particles are produced by branching.
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