D. Stoertz

activity

20182022

most citedGenus 2 Cantor sets

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.DS2022

Genus $g$ Cantor sets and germane Julia sets

Alastair N. Fletcher, Daniel Stoertz, Vyron Vellis

The primary aim of this paper is to give topological obstructions to Cantor sets in $R^{3}$ being Julia sets of uniformly quasiregular mappings. Our main tool is the genus o…

math.GT2020★ 2 cited

Genus 2 Cantor sets

Alastair N. Fletcher, Daniel Stoertz

We construct a geometrically self-similar Cantor set $X$ of genus $2$ in $R^{3}$ . This construction is the first for which the local genus is shown to be $2$ at every point…

math.DS2018

Spider's webs of doughnuts

A. Fletcher, D. Stoertz

If $f : R^{3} \to R^{3}$ is a uniformly quasiregular mapping with Julia set $J (f)$ a genus $g$ Cantor set, for $g \geq 1$ , then for any linearizer $L$ at any repelling p…

Genus g Cantor sets and germane Julia sets

Genus 2 Cantor sets

Spider's webs of doughnuts

Genus $g$ Cantor sets and germane Julia sets