8 citations · 9 across the 2 of their papers we have counts for
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On the principle of minimum growth rate in multiplicatively interacting stochastic processes
Akihiro Fujihara, Toshiya Ohtsuki, Hiroshi Yamamoto
A method of moment inequalities is used to derive the principle of minimum growth rate in multiplicatively interacting stochastic processes(MISPs). When a value of a power-law expo…
Log-normal distribution in growing systems with weighted multiplicative interactions
Akihiro Fujihara, Satoshi Tanimoto, Toshiya Ohtsuki +1
Many-body stochastic processes with weighted multiplicative interactions are investigated analytically and numerically. An interaction rate between particles with quantities …
Asymptotic analysis of the model for distribution of high-tax payers
Hiroshi Yamamoto, Toshiya Ohtsuki, Akihiro Fujihara +3
The z-transform technique is used to investigate the model for distribution of high-tax payers, which is proposed by two of the authors (K. Y and S. M) and others. Our analysis sho…
Similarity and Probability Distribution Functions in Many-body Stochastic Processes with Multiplicative Interactions
Akihiro Fujihara, Toshiya Ohtsuki, Hiroshi Yamamoto
Analytical and numerical studies on many-body stochastic processes with multiplicative interactions are reviewed. The method of moment relations is used to investigate effects of a…
Power-law tails in nonstationary stochastic processes with asymmetrically multiplicative interactions
Akihiro Fujihara, Toshiya Ohtsuki, Hiroshi Yamamoto
We consider stochastic processes where randomly chosen particles with positive quantities x, y (> 0) interact and exchange the quantities asymmetrically by the rule x' = c{(1-a) x…
Effects of Randomness on Power Law Tails in Multiplicatively Interacting Stochastic Processes
Toshiya Ohtsuki, Akihiro Fujihara, Hiroshi Yamamoto
Effects of randomness on non-integer power law tails in multiplicatively interacting stochastic processes are investigated theoretically. Generally, randomness causes decrease of t…