Technische Universiteit Delft, TWI (SSOR), Mekelweg 4, 2628 CD Delft, the Netherlands
Bibliografia
[B] J. R. Brown, Ergodic Theory and Topological Dynamics, Academic Press, New York, 1976.
[BJW] W. Bosma, H. Jager and F. Wiedijk, Some metrical observations on the approximation by continued fractions, Indag. Math. 45 (1983), 281-299.
[CFS] I. P. Cornfeld, S. V. Fomin and Ya. G. Sinai, Ergodic Theory, Grundlehren Math. Wiss. 245, Springer, New York, 1982.
[FS] C. Frougny and B. Solomyak, Finite beta-expansions, Ergodic Theory Dynamical Systems 12 (1992), 713-723.
[G] J. Galambos, Representations of Real Numbers by Infinite Series, Lecture Notes in Math. 502, Springer, Berlin, 1982.
[J] H. Jager, On decimal expansions, Zahlentheorie, Berichte aus dem Mathematische Forschungsinstitut Oberwolfach 5 (1971), 67-75.
[JdV] H. Jager and C. de Vroedt, Lüroth series and their ergodic properties, Indag. Math. 31 (1968), 31-42.
S. Kalpazidou, A. Knopfmacher and J. Knopfmacher, Lüroth-type alternating series representations for real numbers, Acta Arith. 55 (1990), 311-322.
S. Kalpazidou, A. Knopfmacher and J. Knopfmacher, Metric properties of alternating Lüroth series, Portugal. Math. 48 (1991), 319-325.
[K] C. Kraaikamp, A new class of continued fraction expansions, Acta Arith. 57 (1991), 1-39.
[Li] P. Liardet, MR: 93m:11077.
[Lu] J. Lüroth, Ueber eine eindeutige Entwickelung von Zahlen in eine unendliche Reihe, Math. Ann. 21 (1883), 411-423.
[Pa] W. Parry, On the β-expansions of real numbers, Acta Math. Acad. Sci. Hungar. 11 (1960), 401-416.
[Pe] O. Perron, Irrationalzahlen, de Gruyter, Berlin, 1960.
[R] V. A. Rohlin, Exact endomorphisms of a Lebesgue space, Izv. Akad. Nauk SSSR Ser. Mat. 24 (1960) (in Russian); English translation: Amer. Math. Soc. Transl. Ser. 2, 39 (1969), 1-36.
[Sa] T. Šalát, Zur metrischen Theorie der Lürothschen Entwicklungen der reellen Zahlen, Czech. Math. J. 18 (1968), 489-522.
[So] B. Solomyak, Personal communication with C. Kraaikamp, Seattle, July 9, 1991.
[V] W. Vervaat, Success Epochs in Bernoulli Trails with Applications in Number Theory, Math. Centre Tracts 42, Amsterdam, 1972.
[W] P. Walters, An Introduction to Ergodic Theory, Grad. Texts in Math. 79, Springer, New York, 1982.
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Bibliografia
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