On the morphology of γ-Expansions with deleted digits

Transactions of the American Mathematical Society

Volumn 347, Issue 3, 1995, Pages 955-966

  Keane, Mike ^a   Smorodinsky, Meir ^b   Solomyak, Boris ^c  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b TEL AVIV UNIVERSITY   (Israel)

^c UNIVERSITY OF WASHINGTON   (United States)

Author keywords

Cantor sets; Hausdorff dimension; expansions

Indexed keywords

EID: 0000922898     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-1995-1290723-X     Document Type: Article

References (6)

1. W. Parry, On the ß-expansion of real numbers., Acta Math. Acad. Sei. Hungar. 11 (1960), 401-416.
2. M. Pollicott and K. Simon, The Hausdorff dimension of X-expansions with deleted digits, Trans. Amer. Math. Soc. 347 (1995), 967-983.
3. J. Palis and F. Takens, Hyperbolicity and sensitive chaotic dynamics at homoclinic bifurcations, Cambridge Univ. Press, Cambridge, 1993.
4. A. Renyi, Representations for real numbers and their ergodic properties., Acta Math. Acad. Sei. Hungar. 8 (1957), 472-493.
5. M. Smorodinsky, ß-automorphisms are Bernoulli shifts, Acta Math. Acad. Sei. Hungar. 24 (1973), 273-278.
6. P. Walters, An introduction to ergodic theory, Springer-Verlag, New York, 1982.