Orbit Equivalence and Kakutani equivalence with Sturmian Subshifts
Dartnell,, Pablo ; Durand, Fabien ; Maass, Alejandro
HAL, hal-01180295 / Harvested from HAL
Using dimension group tools and Bratteli--Vershik representations of minimal Cantor systems we prove that a minimal Cantor system and a Sturmian subshift are topologically conjugate if and only if they are orbit equivalent and Kakutani equivalent.
Publié le : 2000-07-14
Classification:  [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]
@article{hal-01180295,
     author = {Dartnell,, Pablo and Durand, Fabien and Maass, Alejandro},
     title = {Orbit Equivalence and Kakutani equivalence with Sturmian Subshifts},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01180295}
}
Dartnell,, Pablo; Durand, Fabien; Maass, Alejandro. Orbit Equivalence and Kakutani equivalence with Sturmian Subshifts. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-01180295/