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math.DS2020
Levy and Thurston obstructions of finite subdivision rules
Insung Park
For a post-critically finite branched covering of the sphere that is a subdivision map of a finite subdivision rule, we define non-expanding spines which determine the existence of…
math.MG2020
Quasi-self-similar fractals containing "Y" have dimension larger than one
Insung Park, Angela Wu
Suppose is a compact connected metric space and is a metric coarse expanding conformal map in the sense of Haïssinsky-Pilgrim. We show that if contains a homeo…
math.GT2020★ 1 cited
Haupt's theorem for strata of abelian differentials
Matt Bainbridge, Chris Johnson, Chris Judge +1
Let S be a closed topological surface. Haupt's theorem provides necessary and sufficient conditions for a complex-valued character of the first integer homology group of S to be re…