9 citations · 9 across the 3 of their papers we have counts for
7 papers
Iterated monodromy groups of rational functions and periodic points over finite fields
Andrew Bridy, Rafe Jones, Gregory Kelsey +1
Let be a prime power and a rational function with coefficients in a finite field . For , each element of $\mathbb{P}^1(\F_{q^n})$ is either periodic…
On the asymmetry of stars at infinity
Keith Jones, Gregory A. Kelsey
Given a bordified space, Karlsson defines an incidence geometry of stars at infinity. These stars and their incidence are closely related to well-understood objects when the space…
Quadratic Thurston maps with few postcritical points
Gregory Kelsey, Russell Lodge
We use the theory of self-similar groups to enumerate all combinatorial classes of non-exceptional quadratic Thurston maps with fewer than five postcritical points. The enumeration…
Origami, affine maps, and complex dynamics
William Floyd, Gregory Kelsey, Sarah Koch +4
We investigate the combinatorial and dynamical properties of so-called nearly Euclidean Thurston maps, or NET maps. These maps are perturbations of many-to-one folding maps of an a…
The horofunction boundary of the lamplighter group with the Diestel-Leader metric
Keith Jones, Gregory A. Kelsey
We fully describe the horofunction boundary with the word metric associated with the generating set (i.e the metric arising in the Diestel-Leader graph…
Visual boundaries of Diestel-Leader graphs
Keith Jones, Gregory A. Kelsey
Diestel-Leader graphs are neither hyperbolic nor CAT(0), so their visual boundaries may be pathological. Indeed, we show that for , carries the indisc…