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Propriétés topologiques et combinatoires des échelles de numération

Guy Barat; Tomasz Downarowicz; Anzelm Iwanik; Pierre Liardet

Colloquium Mathematicae (2000)

  • Volume: 84/85, Issue: 2, page 285-306
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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Barat, Guy, et al. "Propriétés topologiques et combinatoires des échelles de numération." Colloquium Mathematicae 84/85.2 (2000): 285-306. <http://eudml.org/doc/210814>.

@article{Barat2000,
author = {Barat, Guy, Downarowicz, Tomasz, Iwanik, Anzelm, Liardet, Pierre},
journal = {Colloquium Mathematicae},
keywords = {dynamical system; addingi machine; odometer; rooted tree; number system; system of enumeration},
language = {fre},
number = {2},
pages = {285-306},
title = {Propriétés topologiques et combinatoires des échelles de numération},
url = {http://eudml.org/doc/210814},
volume = {84/85},
year = {2000},
}

TY - JOUR
AU - Barat, Guy
AU - Downarowicz, Tomasz
AU - Iwanik, Anzelm
AU - Liardet, Pierre
TI - Propriétés topologiques et combinatoires des échelles de numération
JO - Colloquium Mathematicae
PY - 2000
VL - 84/85
IS - 2
SP - 285
EP - 306
LA - fre
KW - dynamical system; addingi machine; odometer; rooted tree; number system; system of enumeration
UR - http://eudml.org/doc/210814
ER -

References

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