46 citations · 268 across the 58 of their papers we have counts for
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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…
Dimensions of Kleinian orbital sets
Thomas Bartlett, Jonathan M. Fraser
Given a non-empty bounded subset of hyperbolic space and a Kleinian group acting on that space, the orbital set is the orbit of the given set under the action of the group. We may…
On the Fourier dimension of -sets and Kakeya sets with restricted directions
Jonathan M. Fraser, Terence L. J. Harris, Nicholas G. Kroon
A -set is a subset of containing a -dimensional unit ball of all possible orientations. Using an approach of D.~Oberlin we prove various Fourier dimension…
Intermediate dimensions of infinitely generated attractors
Amlan Banaji, Jonathan M. Fraser
We study the dimension theory of limit sets of iterated function systems consisting of a countably infinite number of contractions. Our primary focus is on the intermediate dimensi…