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First digit phenomenon and ergodic theory. (English) Zbl 0529.10008

MSC:
11A63 Radix representation; digital problems
11K16 Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc.
28D05 Measure-preserving transformations
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[4] Kakutani, S., Induced transformation, (), 635-641 · Zbl 0060.27406
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[6] Raimi, R.A., On the distribution of first significant digits, Amer. math. monthly, 76, 342-348, (1969) · Zbl 0179.48701
[7] Rajagopal, A.K.; Uppuluri, V.R.R.; Scott, D.S.; Iyengar, S.S.; Mohan, Y., New structural properties of strings generated by leading digits of 2^{N}, App. math. comput., (1983), in press
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