Jonguk Yang

activity

20142020

most citedLocal Connectivity of Polynomial Julia sets at Bounded Type Siegel Boundaries

2 citations · 5 across the 7 of their papers we have counts for

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math.DS2020★ 1 cited

Elastic Graphs for Main Molecule Matings

Caroline Davis, Jasmine Powell, Rebecca R. Winarski +1

Recent work of Dylan Thurston gives a condition for when a post-critically finite branched self-cover of the sphere is equivalent to a rational map. We apply D. Thurston's positive…

math.DS2020★ 2 cited

Local Connectivity of Polynomial Julia sets at Bounded Type Siegel Boundaries

Jonguk Yang

Consider a polynomial $f$ of degree $d \geq 2$ that has a Siegel disk $Δ_{f}$ with a rotation number of bounded type. We prove that there does not exist a hedgehog containing $Δ_{f}$ .…