1 citations · 1 across the 4 of their papers we have counts for
4 papers
The Assouad spectrum of Kleinian limit sets and Patterson-Sullivan measure
Jonathan M. Fraser, Liam Stuart
The Assouad dimension of the limit set of a geometrically finite Kleinian group with parabolics may exceed the Hausdorff and box dimensions. The Assouad \emph{spectrum} is a contin…
Assouad type dimensions of parabolic Julia sets
Jonathan M. Fraser, Liam Stuart
We prove that the Assouad dimension of a parabolic Julia set is where is the Hausdorff dimension of the Julia set. Since may be strictly less than 1, this pro…
Refined horoball counting and conformal measure for Kleinian group actions
Jonathan M. Fraser, Liam Stuart
Parabolic fixed points form a countable dense subset of the limit set of a non-elementary geometrically finite Kleinian group with at least one parabolic element. Given such a grou…
A new perspective on the Sullivan dictionary via Assouad type dimensions and spectra
Jonathan M. Fraser, Liam Stuart
The Sullivan dictionary provides a beautiful correspondence between Kleinian groups acting on hyperbolic space and rational maps of the extended complex plane. An especially direct…