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2008•Monte Carlo Methods and ApplicationsOpen access

A new nonrecursive pseudorandom number generator based on chaos mappings

Hirotake Yaguchi, Izumi Kubo

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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.

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What this paper is about

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.

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Available 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.

Key concepts: Pseudorandom number generator, Random number generation, Random seed, Generator (circuit theory), CHAOS (operating system), Pseudorandom generator theorem, Mathematics, Computation

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