Dimensions of Julia sets of expanding rational semigroups
Sumi, Hiroki
Kodai Math. J., Tome 28 (2005) no. 1, p. 390-422 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
We estimate the upper box and Hausdorff dimensions of the Julia set of an expanding semigroup generated by finitely many rational functions, using the thermodynamic formalism in ergodic theory. Furthermore, we show Bowen's formula, and the existence and uniqueness of a conformal measure, for a finitely generated expanding semigroup satisfying the open set condition.
Publié le : 2005-06-14
Classification:  
@article{1123767019,
     author = {Sumi, Hiroki},
     title = {Dimensions of Julia sets of expanding rational semigroups},
     journal = {Kodai Math. J.},
     volume = {28},
     number = {1},
     year = {2005},
     pages = { 390-422},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1123767019}
}

Sumi, Hiroki. Dimensions of Julia sets of expanding rational semigroups. Kodai Math. J., Tome 28 (2005) no. 1, pp.  390-422. http://gdmltest.u-ga.fr/item/1123767019/