Gaps in the exponent spectrum of subgroups of discrete quasiconformal groups
Bonfert-Taylor, Petra ; Falk, Kurt ; Taylor, Edward C.
Kodai Math. J., Tome 31 (2008) no. 1, p. 68-81 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
Let G be a discrete quasiconformal group preserving B3 whose limit set Λ(G) is purely conical and all of ∂B3. Let Ĝ be a non-elementary normal subgroup of G: we show that there exists a set $\mathcal{A}$ of full measure in Λ(G) so that $\mathcal{A}$ , regarded as a subset of Λ (Ĝ), has "fat horospherical" dynamics relative to Ĝ. As an application we will bound from below the exponent of convergence of Ĝ in terms of the Hausdorff dimension of $\mathcal{A}$ .
Publié le : 2008-03-15
Classification:  
@article{1206454552,
     author = {Bonfert-Taylor, Petra and Falk, Kurt and Taylor, Edward C.},
     title = {Gaps in the exponent spectrum of subgroups of discrete quasiconformal groups},
     journal = {Kodai Math. J.},
     volume = {31},
     number = {1},
     year = {2008},
     pages = { 68-81},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1206454552}
}

Bonfert-Taylor, Petra; Falk, Kurt; Taylor, Edward C. Gaps in the exponent spectrum of subgroups of discrete quasiconformal groups. Kodai Math. J., Tome 31 (2008) no. 1, pp.  68-81. http://gdmltest.u-ga.fr/item/1206454552/