Relationships between the dynamical systems associated to the Rauzy substitutions

Theoretical Computer Science

Volumn 164, Issue 1-2, 1996, Pages 41-57

  Sirvent, Víctor F ^a  

^a UNIVERSIDAD SIMÓN BOLÍVAR   (Venezuela)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL GEOMETRY; COMPUTATIONAL METHODS; NUMERICAL METHODS; TOPOLOGY;

BILLINGSLEY DIMENSIONS; DYNAMICAL SYSTEMS; HAUSDORFF DIMENSIONS; PISOT SUBSTITUTIONS; RAUZY SUBSTITUTIONS;

COMPUTATION THEORY;

EID: 0030246386     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/0304-3975(95)00170-0     Document Type: Article

References (8)

1. P. Arnoux, Un exemple de semi-conjugaison entre un échange d'intervalles et une rotation sur le tore, Bull. Soc. Math. France 116 (1988) 489-500.
2. P. Arnoux and J.C. Yoccoz, Construction de difféomorphismes pseudo-Anosov, C.R.A.S. 292 (1981) 75-78.
3. P. Billingsley, Ergodic Theory and Information (Wiley, New York, 1965).
4. S. Ito and M. Kimura, On the Rauzy fractal, Japan J. Ind. Appl. Math. 8 (1991) 461-486.
5. G. Rauzy, Nombres algébriques et substitutions, Bull Soc. Math. France 110 (1982) 147-178.
6. V.F. Sirvent, Properties of Geometrical Realizations of Substitutions associated to a Family of Pisot Numbers, Ph.D. Thesis, University of Warwick, 1993.
7. V.F. Sirvent, Geodesic laminations as geometric realizations of Pisot substitutions, preprint.
8. V.F. Sirvent, The Arnoux semi-conjugacy is Hölder continuous, preprint.