2 citations · 5 across the 7 of their papers we have counts for
7 papers
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…
Local Connectivity of Polynomial Julia sets at Bounded Type Siegel Boundaries
Jonguk Yang
Consider a polynomial of degree that has a Siegel disk with a rotation number of bounded type. We prove that there does not exist a hedgehog containing .…
Structural Instability of Semi-Siegel Hénon maps
Michael Yampolsky, Jonguk Yang
We show that the dynamics of sufficiently dissipative semi-Siegel complex Hénon maps with golden-mean rotation number is not -stable in a very strong sense. By the work of Dujar…
Renormalization in the Golden-Mean Semi-Siegel Hénon Family: Non-Quasisymmetry
Jonguk Yang
For quadratic polynomials of one complex variable, the boundary of the golden-mean Siegel disk must be a quasicircle. We show that the analogous statement is not true for quadratic…
Renormalization in the Golden-Mean Semi-Siegel Hénon Family: Universality and Non-Rigidity
Jonguk Yang
It was recently shown by Gaidashev and Yampolsky that appropriately defined renormalizations of a sufficiently dissipative golden-mean semi-Siegel Hénon map converge super-exponent…
The boundaries of golden-mean Siegel disks in the complex quadratic Hénon family are not smooth
Michael Yampolsky, Jonguk Yang
As was recently shown by the first author and others, golden-mean Siegel disks of sufficiently dissipative complex quadratic Hénon maps are bounded by topological circles. In this…