Cited by 494Cellular Automata and ApplicationsComputability, Logic, AI Algorithmssemigroups and automata theory

Random sequence generation by cellular automata

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Wolfram, Stephen·1986·Advances in Applied Mathematics

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Research works printed but not linked: 13

  1. D. KNUTH, "Seminumerical Algorithms," Addison-Wesley, Reading, Mass., 1981.
  2. L. LEVIN, On the notion of a random sequence, Soviet Math. Do/d. 14 (1973), 1413.
  3. L. BLUM, M. BLUM, AND M. SHUB, Comparison of two pseudorandom number generators, in "Advances in Cryptology: Proc. of CRYPTO-82" (D. Chaum, R. Rivest, and A. T. Sherman, Eds.), Plenum, New York, 1983.
  4. W. ALEXI, B. CHOR, 0. GOLDREICH, AND C. SCHNORR, RSA/Rabin bits are f + l/poly(logN) secure, in "Proc. Found. Comput. Sci.," (1984);
  5. U. VAZIRANI AND V. VAZIRANI, Efficient and secure pseudorandom number generation, in "Proc. Found. Comput. Sci.," 1984.
  6. K. MAHL.ER, An unsolved problem on the powers of I, Proc. Austrd. Math. Sot. 8 (1968), 313;
  7. S. WOLFRAM, Cellular automata and condensed matter physics, in Proc. NATO Advanced Study Institute on Scaling phenomena in disordered systems, April 1985.
  8. J. MILNOR, Notes on smjective cellular automaton-maps, Institute for Advanced Study preprint, June 1984.
  9. J. Statist. Phys., in press.
  10. J. MILNOR, Entropy of cellular automaton-maps, Institute for Advanced Study preprint, May 1984; Directional entropies of cellular automaton maps, Institute for Advanced Study preprint, October 1984.
  11. G. MARSAGLIA, A current view of random number generators, in "Proc. Comput. Sci. and Statistics, 16th Sympos. on the Interface," Atlanta, March 1984.
  12. S. WAGON, Is rr normal?, Math. Intelligencer. 7 (1985), 65.
  13. P. GRASSBERGER, "Towards a quantitative theory of self-generated complexity," Wuppertal preprint (1986).

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Authors
Wolfram, S.
Affiliations
Institute for Advanced Study (US)
Corresponding author
Wolfram, Stephen
Venue
Advances in Applied Mathematics
Publisher
Elsevier BV
Published
1986-06
Volume
7
Issue
2
Pages
123-169
ISSN
0196-8858 (ISSN-L)
OpenAlex
W1985043179
Cited by
494
References
47
Citations by year
2026: 14 · 2025: 19 · 2024: 12 · 2023: 17 · 2022: 21 · 2021: 19 · 2020: 15 · 2019: 20 · 2018: 24 · 2017: 22 · 2016: 10 · 2015: 19 · 2014: 17 · 2013: 16 · 2012: 22
FWCI
10.50
Type
journal article
Language
en
Open access
Locations
Advances in Applied Mathematics (publishedVersion)
Topics
  • Physical Sciences › Computer Science › Computational Theory and Mathematics › Cellular Automata and Applications
  • Physical Sciences › Computer Science › Computational Theory and Mathematics › Computability, Logic, AI Algorithms
  • Physical Sciences › Computer Science › Computational Theory and Mathematics › semigroups and automata theory
Keywords
cellular automata, random sequence generation, pseudorandom number generation, one-dimensional cellular automata, binary sequences, statistical randomness, dynamical systems theory, computational complexity

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