Summary

2007 International Symposium on Nonlinear Theory and its Applications

2007

Session Number:18AM1-C

Session:

Number:18AM1-C-2

A Deterministic Cellular Array Model of Reaction-Diffusion Systems for Parallel Generation of Pseudo-Random I.I.D. Sequences

Shunsuke Soga,  Hisato Fujisaka,  Takeshi Kamio,  Kazuhisa Haeiwa,  

pp.140-143

Publication Date:2007/9/16

Online ISSN:2188-5079

DOI:10.34385/proc.41.18AM1-C-2

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Summary:
This paper presents a deterministic cellular array model of reaction-diffusion systems for parallel generation of pseudorandom binary i.i.d. sequences. As diffusion systems contain the Brownian particles, the cellular array contains virtual molecules which move like simple random walkers with their composition changed. Then, the direction which the virtual molecules move in will be i.i.d. Numerical experiments show that the pseudorandom i.i.d. sequences generated from the cellular array possess almost the same statistical properties as truly random binary i.i.d. sequences.