Some properties of cellular automata with equicontinuity points
Blanchard, François ; Tisseur, Pierre
HAL, hal-00000924 / Harvested from HAL
Text on HAL
We investigate topological and ergodic properties of cellular automata having equicontinuity points. In this class surjectivity on a transitive SFT implies existence of a dense set of periodic points.Our main result is that under the action of such an automaton any shift ergodic measure converges in Cesaro Mean.
Publié le : 2000-07-05
Classification:  Cesaro mean,  Invariant measure,  cellular automata,  37A05;37A60;37B15,  [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS],  [NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD] 
@article{hal-00000924,
     author = {Blanchard, Fran\c cois and Tisseur, Pierre},
     title = {Some properties of cellular automata with equicontinuity points},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00000924}
}

Blanchard, François; Tisseur, Pierre. Some properties of cellular automata with equicontinuity points. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00000924/