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math.DS2022
Genus 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 being Julia sets of uniformly quasiregular mappings. Our main tool is the genus o…
cs.DS2022
Time complexity of the Analyst's Traveling Salesman algorithm
Anthony Ramirez, Vyron Vellis
The Analyst's Traveling Salesman Problem asks for conditions under which a (finite or infinite) subset of is contained on a curve of finite length. We show that for…