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ArticleOriginal scientific text

Title

Ergodic properties of generalized Lüroth series

Authors 1, 2, 3, 4

Affiliations

  1. Mathematics Department, University of South Alabama, Mobile, Alabama 36688, U.S.A.
  2. Department of Mathematics, University of Oregon, Corvallis, Oregon 97331, U.S.A.
  3. Universiteit Utrecht, Department of Mathematics, Budapestlaan 6, P.O. Box 80.000, 3508TA Utrecht, the Netherlands
  4. Technische Universiteit Delft, TWI (SSOR), Mekelweg 4, 2628 CD Delft, the Netherlands

Bibliography

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  4. [FS] C. Frougny and B. Solomyak, Finite beta-expansions, Ergodic Theory Dynamical Systems 12 (1992), 713-723.
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  7. [JdV] H. Jager and C. de Vroedt, Lüroth series and their ergodic properties, Indag. Math. 31 (1968), 31-42.
  8. S. Kalpazidou, A. Knopfmacher and J. Knopfmacher, Lüroth-type alternating series representations for real numbers, Acta Arith. 55 (1990), 311-322.
  9. S. Kalpazidou, A. Knopfmacher and J. Knopfmacher, Metric properties of alternating Lüroth series, Portugal. Math. 48 (1991), 319-325.
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  16. [Sa] T. Šalát, Zur metrischen Theorie der Lürothschen Entwicklungen der reellen Zahlen, Czech. Math. J. 18 (1968), 489-522.
  17. [So] B. Solomyak, Personal communication with C. Kraaikamp, Seattle, July 9, 1991.
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  19. [W] P. Walters, An Introduction to Ergodic Theory, Grad. Texts in Math. 79, Springer, New York, 1982.
Acta Arithmetica
1996/74/4
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Pages:
311-327
Main language of publication
English
Received
1994-12-29
Accepted
1995-08-01
Published
1996
Exact and natural sciences