3 citations · 5 across the 5 of their papers we have counts for
4 papers · 1 filter
Parabolic carpets
Jonathan M Fraser, Natalia Jurga
We introduce and study a family of non-conformal and non-uniformly contracting iterated function systems. We refer to the attractors of such systems as parabolic carpets. Roughly s…
The Poincaré exponent and the dimensions of Kleinian limit sets
Jonathan M. Fraser
We provide a proof of the (well-known) result that the Poincaré exponent of a non-elementary Kleinian group is a lower bound for the upper box dimension of the limit set. Our proof…
Fractal geometry of Bedford-McMullen carpets
Jonathan M. Fraser
In 1984 Bedford and McMullen independently introduced a family of self-affine sets now known as \emph{Bedford-McMullen carpets}. Their work stimulated a lot of research in the area…
-spectra of measures on planar non-conformal attractors
Kenneth J. Falconer, Jonathan M. Fraser, Lawrence D. Lee
We study the -spectrum of measures in the plane generated by certain nonlinear maps. In particular we consider attractors of iterated function systems consisting of maps whose…