Modeling minimal foliated spaces with positive entropy
BI\'S, Andrzej ; NAKAYAMA, Hiromichi ; WALCZAK, Pawe\l
Hokkaido Math. J., Tome 36 (2007) no. 4, p. 283-310 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
Using methods and results of decomposition theory we construct minimal actions of groups of homeomorphisms of some classical fractals (the Sierpi\'nski carpet and its generalizations, and the Menger curve) with positive entropy. Suspending these group actions we get minimal foliated spaces which have positive geometric entropy and are modelled on these fractals.
Publié le : 2007-05-15
Classification:  group action,  Sierpi\'nski sets,  foliation,  37C85,  57R30 
@article{1277472805,
     author = {BI\'S, Andrzej and NAKAYAMA, Hiromichi and WALCZAK, Pawe\l},
     title = {Modeling minimal foliated spaces with positive entropy},
     journal = {Hokkaido Math. J.},
     volume = {36},
     number = {4},
     year = {2007},
     pages = { 283-310},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1277472805}
}

BI\'S, Andrzej; NAKAYAMA, Hiromichi; WALCZAK, Pawe\l. Modeling minimal foliated spaces with positive entropy. Hokkaido Math. J., Tome 36 (2007) no. 4, pp.  283-310. http://gdmltest.u-ga.fr/item/1277472805/