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1/f Noise: Branching Process Model (I); Formalization

EasyChair Preprint no. 996

10 pagesDate: May 14, 2019

Abstract

In order to discuss the  problem, the statistics of branching process of particle in a multiplicative medium are developed by taking account of random particle immigration.  The probability distribution function of the number of particles founded in the medium at a moment and/or of particles detected in a time interval are derived in close forms.  Also derived are conditional probabilities, conditioned on having a given number of particles at time t=0.  These are applied to the case that exactly two particles are produced by branching.

Keyphrases: 1/f noise, brancching process, formalization, probability

BibTeX entry
BibTeX does not have the right entry for preprints. This is a hack for producing the correct reference:
@Booklet{EasyChair:996,
  author = {Takayuki Kobayashi},
  title = {1/f Noise: Branching Process Model (I); Formalization},
  howpublished = {EasyChair Preprint no. 996},

  year = {EasyChair, 2019}}
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