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2016 Fiscal Year Final Research Report

Analysis of long-tailed phenomena using solvable stochastic processes

Research Project

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Project/Area Number 25870743
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Mathematical physics/Fundamental condensed matter physics
Foundations of mathematics/Applied mathematics
Research InstitutionUniversity of the Ryukyus (2016)
Chuo University (2013-2015)

Principal Investigator

Yamamoto Ken  琉球大学, 理学部, 講師 (00634693)

Project Period (FY) 2013-04-01 – 2017-03-31
Keywords確率過程 / ベキ分布 / 対数正規分布
Outline of Final Research Achievements

In this research project, heavy-tailed probability distributions in social and biological phenomena have been analyzed theoretically.
First, a simple stochastic model has been constructed and analyzed, which is regarded as a model for the box-office grosse of a movie. This model can explain a power-law decay in the distribution of box-office grosses. Second, we have found that the number of articles within a law follows a lognormal distribution. The tree structure whose depth is normally distributed is an appropriate model for this lognormal behavior. Third, the size distribution of bacterial cells is studied. Our analysis of a phenomenological stochastic model for the bacterial growth has given a theoretical basis for the lognormality of the cell-size distribution.

Free Research Field

数理物理学

URL: 

Published: 2018-03-22  

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