3 citations · 4 across the 6 of their papers we have counts for
6 papers
Puncture-Forgetting Maps for Measured Foliations and Applications in Teichmüller Space and Complex Dynamics
Jeremy Kahn, Insung Park
We introduce puncture-forgetting maps for measured foliations and investigate their relations with mapping class groups, Teichmüller spaces, and extremal length. To this end, we de…
Julia sets with Ahlfors-regular conformal dimension one
Insung Park
For a post-critically finite hyperbolic rational map , we show that its Julia set has Ahlfors-regular conformal dimension one if and only if is a crochet map…
Polynomials with core entropy zero
Yusheng Luo, Insung Park
This paper studies polynomials with core entropy zero. We give several characterizations of polynomials with core entropy zero. In particular, we show that a degree d post-critical…
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…
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…
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…