On some dynamical subsets of the Rauzy fractal

Theoretical Computer Science

Volumn 180, Issue 1-2, 1997, Pages 363-370

  Sirvent, Victor F ^a  

^a UNIVERSIDAD SIMÓN BOLÍVAR   (Venezuela)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL GEOMETRY; COMPUTATIONAL METHODS; FRACTALS; THEOREM PROVING;

DYNAMICAL SYSTEM; RAUZY SUBSTITUTIONS;

SET THEORY;

EID: 0031163851     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0304-3975(96)00331-3     Document Type: Article

References (10)

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3. K. Falconer, Fractal Geometry - Mathematical Foundations and Applications (Wiley, Chichester, 1990).
4. P.J. Grabner, P. Liardet and R. Grabner, Odometers and systems of numeration, Acta Arithmetica 70 (1995) 103-123.
5. S. Ito and M. Kimura, On the Rauzy fractal, Japan J. Indust. Appl. Math. 8 (1991) 461-486.
6. G. Rauzy, Nombres algébriques et substitutions, Bull. Soc. Math. France 110 (1982) 147-178.
7. V.F. Sirvent, Properties of geometrical realizations of substitutions associated to a family of Pisot numbers, Ph.D. Thesis, University of Warwick, 1993.
8. V.F. Sirvent, Relationships between the dynamical systems associated to the Rauzy substitutions, Theoret. Comput. Sci. 164 (1996) 41-57.
9. V.F. Sirvent, Identifications and dimension of the Rauzy fractal, preprint.
10. A.M. Vershik, Uniform algebraic approximation of shift and multiplication operators, Sov. Math. Dokl. 24 (1981) 97-100.