Constant-length substitutions and countable scrambled sets
Blanchard, François ; Durand, Fabien ; Maass, Alejandro
HAL, hal-00309506 / Harvested from HAL
Text on HAL
In this paper we provide examples of topological dynamical systems having either finite or countable scrambled sets. In particular we study conditions for the existence of Li-Yorke, asymptotic and distal pairs in cons\-tant--length substitution dynamical systems. Starting from a circle rotation we also construct a dynamical system having Li--Yorke pairs, none of which is recurrent.
Publié le : 2004-09-28
Classification:  li-yorke,  pairs,  chaos,  substitution,  constant length,  37B05,  [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS] 
@article{hal-00309506,
     author = {Blanchard, Fran\c cois and Durand, Fabien and Maass, Alejandro},
     title = {Constant-length substitutions and countable scrambled sets},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00309506}
}

Blanchard, François; Durand, Fabien; Maass, Alejandro. Constant-length substitutions and countable scrambled sets. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00309506/