Geodesic
Propriétés topologiques et combinatoires des échelles de numération
Colloquium Mathematicum, Tome 84 (2000) no. 2, pp. 285-306.

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Topological and combinatorial properties of dynamical systems called odometers and arising from number systems are investigated. First, a topological classification is obtained. Then a rooted tree describing the carries in the addition of 1 is introduced and extensively studied. It yields a description of points of discontinuity and a notion of low scale, which is helpful in producing examples of what the dynamics of an odometer can look like. Density of the orbits is also discussed.
DOI : 10.4064/cm-84/85-2-285-306
Mots-clés : dynamical system, addingi machine, odometer, rooted tree, number system

Guy Barat 1 ; Tomasz Downarowicz 1 ; Anzelm Iwanik 1 ; Pierre Liardet 1

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Guy Barat; Tomasz Downarowicz; Anzelm Iwanik; Pierre Liardet. Propriétés topologiques et combinatoires des échelles de numération. Colloquium Mathematicum, Tome 84 (2000) no. 2, pp. 285-306. doi : 10.4064/cm-84/85-2-285-306. http://geodesic.mathdoc.fr/articles/10.4064/cm-84/85-2-285-306/

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