Article PDF
Avoid common mistakes on your manuscript.
References
Chatterji, S.D.: Certain induced measures and the fractional dimensions of their “supports”. Z. Wahrscheinlichkeitstheorie verw. Gebiete 3, 184–192 (1964)
Chatterji, S.D.: Maße, die von regelmäßigen Kettenbrüchen induziert sind. Math. Ann. 164, 113–117 (1966)
Galambos, J.: Representations of real numbers by infinite series. Lecture Notes in Math. 502. Berlin-Heidelberg-New York: Springer 1976
Hewitt, E., Stromberg, K.: Real and Abstract Analysis. Berlin-Heidelberg-New York: Springer 1975
Jakubec, K.: Lürothsche Reihen und singuläre Maße. Monatsh. Math. 78, 42–50 (1974)
Krabill, D., Reichaw, M.: Expansions of real numbers relative to a sequence of functions. SIAM J. Numer. Anal. 11, 75–86 (1974)
Marsaglia, G.: Random variables with independent binary digits. Ann. Math. Statist. 42, 1922–1929 (1971)
Parry, W.: On the β-expansions of real numbers. Acta Math. Acad. Sci. Hungar. 11, 401–416 (1960)
Rényi, A.: Representations for real numbers and their ergodic properties. Acta Math. Acad. Sci. Hungar. 8, 477–493 (1957)
Salem, R.: On some singular monotonic functions which are strictly increasing. Trans. Amer. Math. Soc. 53, 427–439 (1943)
Schweiger, F.: Lectures on fibered systems. Mimeographed Notes, Salzburg 1977
Spătaru, A.: Some f-expansions producing stochastically independent digits. Sankhyā Ser. A 39, 160–169 (1977)
Spătaru, A.: (ϕ, f)-expansions of real numbers. Rev. Roumaine Math. Pures Appl. 22, 1459–1469 (1977)
Spătaru, A.: Stochastic independence of the digits of an f-expansion (Romanian). Stud. Cerc. Mat. 30, 75–117 (1978)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Spătaru, A. Dichotomies for probability measures induced by (f 1, f 2,...)-expansions. Z. Wahrscheinlichkeitstheorie verw Gebiete 45, 337–352 (1978). https://doi.org/10.1007/BF00537542
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00537542