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Original Articles

p-adic Chaos and Random Number Generation

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Pages 333-342 | Published online: 03 Apr 2012

REFERENCES

  • Arrowsmith , D. K. and Vivaldi , F. 1993 . “Some p-adic representations of the Smale horseshoe” . Phys. Lett. A , 176 ( 5 ) : 292 – 294 . [Arrowsmith and Vivaldi 1993]
  • Golomb , S. W. 1964 . “Random permutations” . Bull. Amer. Math. Soc. , 70 : 747 [Golomb 1964]
  • Goncharov , V. 1944 . “From the domain of combinatorial analysis” . Bull. Acad. Sci. URSS, Ser. Math. , 8 : 3 – 48 . [Goncharov 1944], In Russian; translation in Amer. Math. Soc. Transl. (2) 19 (1962), 1–46
  • Lagarias , J. C. 1990 . “Pseudorandom number generators in cryptography and number theory”. ” . In Cryptology and computational number theory Edited by: Pomerance , C. 115 – 143 . Providence , RI : Amer. Math. Soc. . [Lagarias 1990], (Boulder, CO, 1989), Proc. Sympos. Appl. Math. 42
  • Maurer , U. M. 1992 . “A universal statistical test for random bit generators” . J. Cryptology , 5 ( 2 ) : 89 – 105 . [Maurer 1992]
  • Newhouse , S. E. 1980 . “Lectures on dynamical systems”. ” . In Dynamical systems Edited by: Coates , J. and Helgason , S. 1 – 114 . Boston : Birkhäuser. . [Newhouse 1980], (Bressanone, 1978), Progr. Math. 8
  • Shepp , L. A. and Lloyd , S. P. 1966 . “Ordered cycle lengths in a random permutation” . Trans. Amer. Math. Soc. , 121 : 340 – 357 . [Shepp and Lloyd 1966]
  • Taylor , S. J. 1973 . Introduction to measure and integration Cambridge U. Press. . [Taylor 1973]
  • Thiran , E. , Verstegen , D. and Weyers , J. 1989 . “p-adic dynamics” . J. Statist. Phys. , 54 ( 3–4 ) : 893 – 913 . [Thiran et al. 1989]

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