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A new nonrecursive pseudorandom number generator based on chaos mappings

Author

Listed:
  • Yaguchi Hirotake
  • Kubo Izumi

    (Hiroshima Institute of Technology, Hiroshima City, Japan)

Abstract

We introduce a new pseudorandom number generator SSR (the Simplified Shift-Real random number generator) which generates the k-th random number nonrecursively (directly) based on chaos mappings on the interval [1, 2). We investigate properties of SSR random numbers and give the theoretical background of generation of random numbers. A practical integral (all-integer) version SSI of SSR, which is suitable for parallel computation, is also provided.

Suggested Citation

  • Yaguchi Hirotake & Kubo Izumi, 2008. "A new nonrecursive pseudorandom number generator based on chaos mappings," Monte Carlo Methods and Applications, De Gruyter, vol. 14(1), pages 85-98, January.
    • Handle: RePEc:bpj:mcmeap:v:14:y:2008:i:1:p:85-98:n:5
    DOI: 10.1515/MCMA.2008.005
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    References listed on IDEAS

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    1. YAGUCHI Hirotake, 2002. "Construction of a long-period nonalgebraic and nonrecursive pseudorandom number generator," Monte Carlo Methods and Applications, De Gruyter, vol. 8(2), pages 203-214, December.
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