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A note on one-dimensionalf-expansions

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References

  1. B. H.Bissinger, A generalization of continued fractions,Bull. Amer. Math. Soc.,50 (1944), 868–876.

    Google Scholar 

  2. A. Rényi, Representations for real numbers and their ergodic properties,Acta Math. Acad. Sci. Hungar.,8 (1957), 477–493.

    Google Scholar 

  3. V. A. Rohlin, Exact endomorphisms of a Lebesgue space,Izvestya Akad. Nauk. S.S.S.R. Ser. mat.,24 (1960), 499–530; English transl.:Amer. Math. Soc. Translat. II Ser. 39 (1964), 1–36.

    Google Scholar 

  4. Vinh-Hien Tran, The central limit theorem for stationary processes generated by number theoretic endomorphisms (in Russian),Vestnik Moskov. Univ. Ser. 1 Math. Meh.,5 (1963), 28–34.

    Google Scholar 

  5. M. H. Resnik, The law of the iterated logarithm for some classes of stationary processes (in Russian),Teor. Verojatn. Primen.,8 (1968), 642–656.

    Google Scholar 

  6. M. S. Waterman, Some ergodic properties of multi-dimensionalF-expansions,Z. Wahrscheinlichkeitstheorie verw. Geb.,16 (1970), 77–103.

    Google Scholar 

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Mercer, A.M. A note on one-dimensionalf-expansions. Acta Mathematica Academiae Scientiarum Hungaricae 27, 313–317 (1976). https://doi.org/10.1007/BF01902109

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