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p-adic Chaos and Random Number Generation

C. F. WoodcockInstitute of Mathematics and Statistics, University of Kent , Canterbury , Kent , CT2 7NF , United Kingdom E-mail: [email protected]Nigel P. SmartHewlett-Packard Laboratories , FUton Road , Stoke Gifford , Bristol , BS12 6QZ , United Kingdom E-mail: [email protected]
1998en
ABI

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We discuss the propert ies of p-adic analogues of the logistic and Smale horseshoe maps, and adapt them to form possible practical pseudo-random number generators. The properties of these practical modifications are studied in detail in the case p = 2.

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