Linearly recurrent subshifts have a finite number of non-periodic subshift factors

Durand, Fabien

Durand, Fabien

HAL, hal-00306716 / Harvested from HAL

Text on HAL

Résumé

A minimal subshift

$(X,T)$ is linearly recurrent if there exists a constant

$K$ so that for each clopen set

$U$ generated by a finite word

$u$ the return time to

$U$ , with respect to

$T$ , is bounded by

$K|u|$ . We prove that given a linearly recurrent subshift

$(X,T)$ the set of its non-periodic subshift factors is finite up to isomorphism. We also give a constructive characterization of these subshifts.

Publié le : 2000-09-28
Classification: linearly recurrent subshift, 37B10, [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]

@article{hal-00306716,
     author = {Durand, Fabien},
     title = {Linearly recurrent subshifts have a finite number of non-periodic subshift factors},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00306716}
}

Durand, Fabien. Linearly recurrent subshifts have a finite number of non-periodic subshift factors. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00306716/