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An Analytic Approach to Secure Pseudo-Random Generation

Hiroshi Sugita
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Hiroshi Sugita: Department of Mathematics, Graduate school of Science, Osaka University, Japan

Chapter 17 in Stochastic Processes and Applications to Mathematical Finance, 2004, pp 355-368 from World Scientific Publishing Co. Pte. Ltd.

Abstract: AbstractThe following sections are included:IntroductionPseudo-Random Generator by Means of Weyl Transformation and Related TheoremsReview: Secure Pseudo-Random GeneratorNext-Bit-Unpredictability of $\{X_n^{(m)} (\cdot;\alpha )\}_n$An Easy Proof of Theorem 2.3References

Keywords: Stochastic Processes; Stochastic Differential Equations; Malliavin Calculus; Stochastic Control and Optimization; Functionals of Brownian Motions and Lévy Processes; Stochastic Models of Financial Market; Derivative Pricing; Hedging Problem (search for similar items in EconPapers)
Date: 2004
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