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2023-08-22
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1/f Fluctuations on a Chain of Causal Relationships (Ⅰ); Formalization
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Date Created
language:enDate created
2025-05-29
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2025-05-29
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2021
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2025-05-29
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Description
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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Title
1/f Fluctuations on a Chain of Causal Relationships (Ⅰ); Formalization
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Tag
branching process
model
causal relationship
binary branching
1/f fluctuation
1/f noise
formalization
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Takayuki Kobayashi
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Physical Sciences and Mathematics
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Title
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Statistics and Probability
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Applied Statistics
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Preprint
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2021-01-06
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Model of 1/f Noise
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Creator
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https://osf.io/zh35v
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Takayuki Kobayashi
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Center for Open Science
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Model of 1/f Noise
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Takayuki Kobayashi
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Takayuki Kobayashi
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