Jonathan M. Fraser

collaborators

2 papers

math.DS2025

Dimensions of orbital sets in complex dynamics

Jonathan M Fraser, Yunlong Xu

Let $E$ be a non-empty compact subset of the Riemann sphere and $T$ be a rational map of degree at least two. We study the associated \emph{orbital set}, that is, the backwards o…

math.CA2024

On variants of the Furstenberg set problem

Jonathan M. Fraser

Given an integer $d \geq 2$ , $s \in (0, 1]$ , and $t \in [0, 2 (d - 1)]$ , suppose a set $X$ in $R^{d}$ has the following property: there is a collection of lines of packing dimens…