Normal Numbers and Pseudorandom Generators ∗

@inproceedings{Bailey2011NormalNA,
  title={Normal Numbers and Pseudorandom Generators ∗},
  author={David H. Bailey and Jonathan M. Borwein},
  year={2011}
}
For an integer b ≥ 2 a real number α is b-normal if, for all m > 0, every m-long string of digits in the base-b expansion of α appears, in the limit, with frequency b−m. Although almost all reals in [0, 1] are b-normal for every b, it has been rather difficult to exhibit explicit examples. No results whatsoever are known, one way or the other, for the class of “natural” mathematical constants, such as π, e, √ 2 and log 2. In this paper, we summarize some previous normality results for a certain… CONTINUE READING
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On normal numbers

  • W. Schmidt
  • Pacific Journal of Mathematics, vol. 10 (1960…
  • 1960
Highly Influential
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