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First digit phenomenon and ergodic theory

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Publication:787185
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DOI10.1016/0022-247X(83)90113-0zbMath0529.10008MaRDI QIDQ787185

V. R. R. Uppuluri, A. K. Rajagopal, James B. Robertson

Publication date: 1983

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)


zbMATH Keywords

invariant measuremeasure-preserving transformationfirst digit phenomenon


Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Radix representation; digital problems (11A63) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16)


Related Items (2)

New structural properties of strings generated by leading digits of \(2^ n\) ⋮ String patterns of leading digits



Cites Work

  • Unnamed Item
  • New structural properties of strings generated by leading digits of \(2^ n\)
  • An explanation of the first digit phenomenon
  • Ergodic transformations induce mixing transformations
  • On the Distribution of First Significant Digits
  • On the Distribution of First Significant Figures
  • Induced measure preserving transformations


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