8 citations · 16 across the 7 of their papers we have counts for
7 papers
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…
Two-component sandpile model : self-organized criticality of the second kind
Akihiro Fujihara, Toshiya Ohtsuki, Teruhiro Nakagawa
Two-component sandpile models are investigated numerically and theoretically. Monte Calro simulations are performed to show that probability distribution functions of avalanche siz…
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…