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Propriétés topologiques et combinatoires des échelles de numération

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Barat G., Downarowicz T., Iwanik A., Liardet P.

Colloquium Mathematicum

2000

tom 84/85

nr 2

285-306

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.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Barat G.

1 Downarowicz T.

1 Iwanik A.

1 Liardet P.

1 2000

Wyniki wyszukiwania

Propriétés topologiques et combinatoires des échelles de numération