zbMATH — the first resource for mathematics

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

11A63 Radix representation; digital problems
11K16 Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc.
28D05 Measure-preserving transformations
Full Text: DOI
[1] Abramov, L.M., The entropy of a derived automorphism, Dokl. akad. nauk. SSSR, 128, 647-650, (1959) · Zbl 0094.10001
[2] Cohen, D.I.A., An explanation of the first digit phenomenon, J. combin. theory ser. A, 20, 367-370, (1976) · Zbl 0336.10052
[3] Friedman, N.; Ornstein, D., Ergodic transformations induces mixing transformations, Advan. in math., 10, 147-163, (1973) · Zbl 0246.28011
[4] Kakutani, S., Induced transformation, (), 635-641 · Zbl 0060.27406
[5] Pinkham, R.S., On the distribution of first significant digits, Ann. math. statist., 32, 1223-1230, (1961) · Zbl 0102.14205
[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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.